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  <doc>
    <id>23048</id>
    <completedYear/>
    <publishedYear>2018</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber>6</pageNumber>
    <edition/>
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    <volume/>
    <type>conferenceobject_ref</type>
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    <completedDate>2019-01-09</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">A new criterion for boundedness of solutions for a class of periodic systems</title>
    <parentTitle language="eng">17th European Control Conference (ECC), Limassol, Cyprus, 2018</parentTitle>
    <identifier type="url">https://hal.inria.fr/hal-01755084/document</identifier>
    <enrichment key="BTU">an der BTU erstellt / created at BTU</enrichment>
    <author>
      <firstName>Johannes</firstName>
      <lastName>Schiffer</lastName>
    </author>
    <submitter>
      <firstName>Tino</firstName>
      <lastName>Fischer</lastName>
    </submitter>
    <author>
      <firstName>Denis</firstName>
      <lastName>Efimov</lastName>
    </author>
    <collection role="institutes" number="3206">FG Regelungssysteme und Netzleittechnik</collection>
  </doc>
  <doc>
    <id>23050</id>
    <completedYear/>
    <publishedYear>2018</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>800</pageFirst>
    <pageLast>805</pageLast>
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    <publisherName>IEEE</publisherName>
    <publisherPlace>Piscataway, NJ</publisherPlace>
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    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2019-01-09</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Almost Global Synchronization in Multi-Machine Power Systems</title>
    <parentTitle language="eng">57th IEEE Conference on Decision and Control, Miami Beach, FL, USA, December 17-19, 2018</parentTitle>
    <identifier type="url">https://ieeexplore.ieee.org/document/8619788</identifier>
    <identifier type="isbn">978-1-5386-1395-5</identifier>
    <identifier type="doi">10.1109/CDC.2018.8619788</identifier>
    <enrichment key="BTU">an der BTU erstellt / created at BTU</enrichment>
    <author>
      <firstName>Johannes</firstName>
      <lastName>Schiffer</lastName>
    </author>
    <submitter>
      <firstName>Tino</firstName>
      <lastName>Fischer</lastName>
    </submitter>
    <author>
      <firstName>Denis</firstName>
      <lastName>Efimov</lastName>
    </author>
    <author>
      <firstName>Romeo</firstName>
      <lastName>Ortega</lastName>
    </author>
    <collection role="institutes" number="3206">FG Regelungssysteme und Netzleittechnik</collection>
  </doc>
  <doc>
    <id>23922</id>
    <completedYear/>
    <publishedYear>2017</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>1</pageFirst>
    <pageLast>7</pageLast>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume>Vol. 37</volume>
    <type>articler</type>
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    <completedDate>2019-04-15</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">A Relaxed Characterization of ISS for Periodic Systems with Multiple Invariant Sets</title>
    <abstract language="eng">A necessary and sufficient criterion to establish input-to-state stability (ISS) of nonlinear dynamical systems, the dynamics of which are periodic with respect to certain state variables and which possess multiple invariant solutions (equilibria, limit cycles, etc.), is provided. Unlike standard Lyapunov approaches, the condition is relaxed and formulated via a sign-indefinite function with sign-definite derivative, and by taking the system’s periodicity explicitly into account. The new result is established by using the framework of cell structure and it complements the ISS theory of multistable dynamics for periodic systems. The efficiency of the proposed approach is illustrated via the global analysis of a nonlinear pendulum with constant persistent input.</abstract>
    <parentTitle language="eng">European Journal of Control</parentTitle>
    <identifier type="doi">10.1016/j.ejcon.2017.04.002</identifier>
    <identifier type="issn">1435-5671</identifier>
    <enrichment key="BTU">nicht an der BTU erstellt / not created at BTU</enrichment>
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    <author>
      <firstName>Johannes</firstName>
      <lastName>Schiffer</lastName>
    </author>
    <submitter>
      <firstName>Tino</firstName>
      <lastName>Fischer</lastName>
    </submitter>
    <author>
      <firstName>Denis</firstName>
      <lastName>Efimov</lastName>
    </author>
    <author>
      <firstName>Nikita</firstName>
      <lastName>Barabanov</lastName>
    </author>
    <author>
      <firstName>Romeo</firstName>
      <lastName>Ortega</lastName>
    </author>
    <collection role="institutes" number="3206">FG Regelungssysteme und Netzleittechnik</collection>
  </doc>
  <doc>
    <id>23923</id>
    <completedYear/>
    <publishedYear>2017</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>4905</pageFirst>
    <pageLast>4916</pageLast>
    <pageNumber/>
    <edition/>
    <issue>10</issue>
    <volume>62</volume>
    <type>articler</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2019-04-15</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Conditions for Almost Global Attractivity of a Synchronous Generator Connected to an Infinite Bus</title>
    <abstract language="deu">Conditions for existence and global attractivity of the equilibria of a realistic model of a synchronous generator with constant field current connected to an infinite bus are derived. First, necessary and sufficient conditions for existence and uniqueness of equilibrium points are provided. Then, sufficient conditions for local asymptotic stability and almost global attractivity of one of these equilibria are given. The analysis is carried out by employing a new Lyapunov-like function to establish convergence of bounded trajectories, while the latter is proven using the powerful theoretical framework of cell structures pioneered by Leonov and Noldus. The efficiency of the derived sufficient conditions is illustrated via extensive numerical experiments based on two benchmark examples taken from the literature.</abstract>
    <parentTitle language="eng">Transactions on Automatic Control</parentTitle>
    <identifier type="doi">10.1109/TAC.2017.2671026</identifier>
    <identifier type="url">https://ieeexplore.ieee.org/document/7858643</identifier>
    <identifier type="issn">1558-2523</identifier>
    <identifier type="issn">0018-9286</identifier>
    <enrichment key="BTU">nicht an der BTU erstellt / not created at BTU</enrichment>
    <author>
      <firstName>Johannes</firstName>
      <lastName>Schiffer</lastName>
    </author>
    <submitter>
      <firstName>Tino</firstName>
      <lastName>Fischer</lastName>
    </submitter>
    <author>
      <firstName>Nikita</firstName>
      <lastName>Barabanov</lastName>
    </author>
    <author>
      <firstName>Romeo</firstName>
      <lastName>Ortega</lastName>
    </author>
    <author>
      <firstName>Denis</firstName>
      <lastName>Efimov</lastName>
    </author>
    <collection role="institutes" number="3206">FG Regelungssysteme und Netzleittechnik</collection>
  </doc>
  <doc>
    <id>23925</id>
    <completedYear/>
    <publishedYear>2017</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue>2100</issue>
    <volume>375</volume>
    <type>articler</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2019-04-15</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">An Input-to-State Stability Approach to Verify Almost Global Stability of a Synchronous-Machine-Infinite-Bus System</title>
    <abstract language="eng">Conditions for almost global stability of an operating point of a realistic model of a synchronous generator with constant field current connected to an infinite bus are derived. The analysis is conducted by employing the recently proposed concept of input-to-state stability (ISS)–Leonov functions, which is an extension of the powerful cell structure principle developed by Leonov and Noldus to the ISS framework. Compared with the original ideas of Leonov and Noldus, the ISS–Leonov approach has the advantage of providing additional robustness guarantees. The efficiency of the derived sufficient conditions is illustrated via numerical experiments.</abstract>
    <parentTitle language="eng">Philosophical transactions of the Royal Society. Series A, Mathematical, physical and engineering sciences</parentTitle>
    <identifier type="doi">10.1098/rsta.2016.0304</identifier>
    <identifier type="issn">1364-503X</identifier>
    <identifier type="issn">1471-2962</identifier>
    <enrichment key="BTU">nicht an der BTU erstellt / not created at BTU</enrichment>
    <enrichment key="Artikelnummer">ID 20160304</enrichment>
    <enrichment key="opus.doi.autoCreate">false</enrichment>
    <enrichment key="opus.urn.autoCreate">false</enrichment>
    <author>
      <firstName>Johannes</firstName>
      <lastName>Schiffer</lastName>
    </author>
    <submitter>
      <firstName>Tino</firstName>
      <lastName>Fischer</lastName>
    </submitter>
    <author>
      <firstName>Denis</firstName>
      <lastName>Efimov</lastName>
    </author>
    <author>
      <firstName>Romeo</firstName>
      <lastName>Ortega</lastName>
    </author>
    <author>
      <firstName>Nikita</firstName>
      <lastName>Barabanov</lastName>
    </author>
    <collection role="institutes" number="3206">FG Regelungssysteme und Netzleittechnik</collection>
  </doc>
  <doc>
    <id>23928</id>
    <completedYear/>
    <publishedYear>2017</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>7217</pageFirst>
    <pageLast>7222</pageLast>
    <pageNumber/>
    <edition/>
    <issue>1</issue>
    <volume>50</volume>
    <type>conferenceobject_ref</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2019-04-15</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Relaxing the Conditions of ISS for Multistable Periodic Systems</title>
    <abstract language="eng">The input-to-state stability property of nonlinear dynamical systems with multiple invariant solutions is analyzed under the assumption that the system equations are periodic with respect to certain state variables. It is shown that stability can be concluded via a sign-indefinite function, which explicitly takes the systems' periodicity into account. The presented approach leverages some of the difficulties encountered in the analysis of periodic systems via positive definite Lyapunov functions proposed in Angeli and Efimov (2013, 2015). The new result is established based on the framework of cell structure introduced in Leonov (1974) and illustrated via the global analysis of a nonlinear pendulum with a constant persistent input.</abstract>
    <parentTitle language="eng">IFAC-PapersOnLine</parentTitle>
    <identifier type="url">https://hal.inria.fr/hal-01508766</identifier>
    <identifier type="doi">10.1016/j.ifacol.2017.08.1365</identifier>
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    <author>
      <firstName>Johannes</firstName>
      <lastName>Schiffer</lastName>
    </author>
    <submitter>
      <firstName>Tino</firstName>
      <lastName>Fischer</lastName>
    </submitter>
    <author>
      <firstName>Denis</firstName>
      <lastName>Efimov</lastName>
    </author>
    <author>
      <firstName>Nikita</firstName>
      <lastName>Barabanov</lastName>
    </author>
    <author>
      <firstName>Romeo</firstName>
      <lastName>Ortega</lastName>
    </author>
    <collection role="institutes" number="3206">FG Regelungssysteme und Netzleittechnik</collection>
  </doc>
  <doc>
    <id>24325</id>
    <completedYear/>
    <publishedYear>2019</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber>12</pageNumber>
    <edition/>
    <issue>109</issue>
    <volume/>
    <type>articler</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2019-08-27</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Global synchronization analysis of droop-controlled microgrids—A multivariable cell structure approach</title>
    <abstract language="eng">The microgrid concept represents a promising approach to facilitate the large-scale integration of renewable energy sources. Motivated by this, the problem of global synchronization in droop-controlled microgrids with radial topology is considered. To this end, at first a necessary and sufficient condition for existence of equilibria is established in terms of the droop gains and the network parameters. Then, the local stability properties of the equilibria are characterized. Subsequently, sufficient conditions for almost global synchronization are derived by means of the multivariable cell structure approach recently proposed in Efimov and Schiffer (2019). The latter is an extension of the powerful cell structure principle developed by Leonov and Noldus to nonlinear systems that are periodic with respect to several state variables and possess multiple invariant solutions. The analysis is illustrated via numerical examples.</abstract>
    <parentTitle language="eng">Automatica</parentTitle>
    <identifier type="doi">10.1016/j.automatica.2019.108550</identifier>
    <identifier type="url">https://www.sciencedirect.com/science/article/pii/S000510981930411X</identifier>
    <identifier type="issn">0005-1098</identifier>
    <enrichment key="BTU">an der BTU erstellt / created at BTU</enrichment>
    <enrichment key="Artikelnummer">108550</enrichment>
    <enrichment key="opus.doi.autoCreate">false</enrichment>
    <enrichment key="opus.urn.autoCreate">false</enrichment>
    <author>
      <firstName>Johannes</firstName>
      <lastName>Schiffer</lastName>
    </author>
    <submitter>
      <firstName>Tino</firstName>
      <lastName>Fischer</lastName>
    </submitter>
    <author>
      <firstName>Denis</firstName>
      <lastName>Efimov</lastName>
    </author>
    <author>
      <firstName>Romeo</firstName>
      <lastName>Ortega</lastName>
    </author>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Global synchronization</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>controlled microgrids</value>
    </subject>
    <collection role="institutes" number="3206">FG Regelungssysteme und Netzleittechnik</collection>
  </doc>
  <doc>
    <id>24826</id>
    <completedYear/>
    <publishedYear>2019</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>4094</pageFirst>
    <pageLast>4104</pageLast>
    <pageNumber/>
    <edition/>
    <issue>10</issue>
    <volume>64</volume>
    <type>articler</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2019-12-04</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">On boundedness of solutions of state periodic systems: a multivariable cell structure approach</title>
    <abstract language="eng">Many dynamical systems are periodic with respect to several state variables. This periodicity typically leads to the coexistence of multiple invariant solutions (equilibria or limit cycles). As a consequence, while there are many classical techniques for analysis of boundedness and stability of such systems, most of these only permit to establish local properties. Motivated by this, a new sufficient criterion for global boundedness of solutions of such a class of nonlinear systems is presented. The proposed method is inspired by the cell structure approach developed by Leonov and Noldus and characterized by two main advances. First, the conventional cell structure framework is extended to the case of dynamics, which are periodic with respect to multiple states. Second, by introducing the notion of a Leonov function, the usual definiteness requirements of standard Lyapunov functions are relaxed to sign-indefinite functions. Furthermore, it is shown that under (mild) additional conditions the existence of a Leonov function also ensures input-to-state stability, i.e., robustness with respect to exogenous perturbations. The performance of the proposed approach is demonstrated via the global analysis of boundedness of trajectories for a nonlinear system.</abstract>
    <parentTitle language="eng">IEEE Transactions on Automatic Control</parentTitle>
    <identifier type="doi">10.1109/TAC.2019.2892395</identifier>
    <identifier type="issn">0018-9286</identifier>
    <identifier type="issn">1558-2523</identifier>
    <enrichment key="BTU">an der BTU erstellt / created at BTU</enrichment>
    <author>
      <firstName>Denis</firstName>
      <lastName>Efimov</lastName>
    </author>
    <submitter>
      <firstName>Tino</firstName>
      <lastName>Fischer</lastName>
    </submitter>
    <author>
      <firstName>Johannes</firstName>
      <lastName>Schiffer</lastName>
    </author>
    <collection role="institutes" number="3206">FG Regelungssysteme und Netzleittechnik</collection>
  </doc>
  <doc>
    <id>29868</id>
    <completedYear/>
    <publishedYear>2022</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber>6</pageNumber>
    <edition/>
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    <volume/>
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    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2023-01-04</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">On Relaxed Conditions of Integral ISS for Multistable Periodic Systems</title>
    <abstract language="eng">A novel characterization of the integral Inputto-&#13;
State Stability (iISS) property is introduced for multistable&#13;
systems whose dynamics are periodic with respect to a part of&#13;
the state. First, the concepts of iISS-Leonov functions and output&#13;
smooth dissipativity are introduced, then their equivalence&#13;
to the properties of bounded-energy-bounded-state and global&#13;
attractiveness of solutions in the absence of disturbances are&#13;
proven. The proposed approach permits to relax the usual&#13;
requirements of positive definiteness and periodicity of the iISSLyapunov&#13;
functions. Moreover, the usefulness of the theoretical&#13;
results is illustrated by a robustness analysis of a nonlinear&#13;
pendulum with a constant bias input and an unbounded statedependent&#13;
input coefficient.</abstract>
    <parentTitle language="eng">Proceedings of the 2021 61st IEEE Conference on Decision and Control (CDC)</parentTitle>
    <identifier type="url">https://hal.archives-ouvertes.fr/hal-03778051/</identifier>
    <enrichment key="BTU">an der BTU erstellt / created at BTU</enrichment>
    <enrichment key="opus.source">publish</enrichment>
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    <enrichment key="Fprofil">1 Energiewende und Dekarbonisierung / Energy Transition and Decarbonisation</enrichment>
    <author>
      <firstName>Jesus</firstName>
      <lastName>Mendoza-Avila</lastName>
    </author>
    <submitter>
      <firstName>Johannes</firstName>
      <lastName>Schiffer</lastName>
    </submitter>
    <author>
      <firstName>Denis</firstName>
      <lastName>Efimov</lastName>
    </author>
    <author>
      <firstName>Angel</firstName>
      <lastName>Mercado-Uribe</lastName>
    </author>
    <author>
      <firstName>Johannes</firstName>
      <lastName>Schiffer</lastName>
    </author>
    <collection role="institutes" number="3206">FG Regelungssysteme und Netzleittechnik</collection>
  </doc>
  <doc>
    <id>32175</id>
    <completedYear/>
    <publishedYear>2023</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>7958</pageFirst>
    <pageLast>7965</pageLast>
    <pageNumber/>
    <edition/>
    <issue>12</issue>
    <volume>68</volume>
    <type>articler</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2023-12-11</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Strong and Weak Leonov Functions for Global Boundedness of State Periodic Systems</title>
    <abstract language="eng">We present new results for the analysis of global boundedness of state periodic systems. Thereby, we address both the case of systems, whose dynamics is periodic with respect to a part of the state vector, and the case of systems, whose dynamics is periodic with respect to all state variables. To derive the results, the notion of strong Leonov functions is introduced. The main results are complemented by a number of relaxations based on the concept of weak Leonov functions.</abstract>
    <parentTitle language="eng">IEEE Transactions on Automatic Control</parentTitle>
    <identifier type="doi">10.1109/TAC.2023.3251903</identifier>
    <identifier type="issn">0018-9286</identifier>
    <identifier type="issn">1558-2523</identifier>
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    <enrichment key="opus.source">publish</enrichment>
    <enrichment key="Fprofil">1 Energiewende und Dekarbonisierung / Energy Transition and Decarbonisation</enrichment>
    <author>
      <firstName>Johannes</firstName>
      <lastName>Schiffer</lastName>
    </author>
    <submitter>
      <firstName>Nicolai</firstName>
      <lastName>Lorenz-Meyer</lastName>
    </submitter>
    <author>
      <firstName>Denis</firstName>
      <lastName>Efimov</lastName>
    </author>
    <collection role="institutes" number="3206">FG Regelungssysteme und Netzleittechnik</collection>
  </doc>
  <doc>
    <id>32178</id>
    <completedYear/>
    <publishedYear>2023</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>9505</pageFirst>
    <pageLast>9510</pageLast>
    <pageNumber/>
    <edition/>
    <issue>2</issue>
    <volume>56</volume>
    <type>conferenceobject_ref</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2023-12-11</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">A Leonov Function for Almost Global Synchronization Conditions in Acyclic Networks of Heterogeneous Kuramoto Oscillators</title>
    <abstract language="eng">Sufficient conditions for almost global synchronization in acyclic networks of Kuramoto oscillators with heterogeneous coupling strengths and natural frequencies are presented. The result is established by employing the recently developed Leonov function framework for systems whose dynamics are periodic for all state variables. The synchronization property is accompanied by necessary and sufficient conditions to guarantee the existence of equilibria. The implications of these conditions on the network topology, the oscillator's coupling strengths and natural frequencies are discussed. Finally, the results are illustrated via a numerical example.</abstract>
    <parentTitle language="eng">IFAC-PapersOnLine</parentTitle>
    <identifier type="doi">10.1016/j.ifacol.2023.10.248</identifier>
    <identifier type="issn">2405-8963</identifier>
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    <enrichment key="Fprofil">1 Energiewende und Dekarbonisierung / Energy Transition and Decarbonisation</enrichment>
    <author>
      <firstName>Angel</firstName>
      <lastName>Mercado-Uribe</lastName>
    </author>
    <submitter>
      <firstName>Nicolai</firstName>
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    <title language="eng">A Control Leonov Function Guaranteeing Global ISS of Two Coupled Synchronverters</title>
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    <title language="eng">Sufficient conditions for global boundedness of solutions for two coupled synchronverters</title>
    <abstract language="eng">This paper analyzes two synchronverters connected in parallel to a common capacitive-resistive load through resistive-inductive power lines. This system is conceptualized as a microgrid with two renewable energy sources controlled using the synchronverter algorithm. It is modeled as an interconnection of three port-Hamiltonian systems, and the dq-coordinates model is derived by averaging the frequencies. Applying the recent Leonov function theory, sufficient conditions to guarantee the global boundedness of the whole system’s trajectories are provided. This is necessary to reach the global synchronization of microgrids. Additionally, a numerical example illustrates the potential resonance behavior of the microgrid.</abstract>
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    <title language="eng">Conditions for global synchronization in networks of heterogeneous Kuramoto oscillators</title>
    <abstract language="eng">The Kuramoto model is essential for studying synchronization. In this work, we present sufficient conditions for global synchronization in networks of heterogeneous Kuramoto oscillators in the absence of homoclinic and heteroclinic cycles. The result is established by constructing a suitable Leonov function candidate for the Kuramoto model, which provides sufficient conditions for almost global synchronization in networks with acyclic and meshed topologies. The synchronization property is accompanied by necessary and sufficient conditions to guarantee the existence of equilibria, which are satisfied if the conditions for synchronization hold. The implications of the main conditions and their relationship with the network topology and parameters are discussed. Finally, the results are illustrated via a numerical example.</abstract>
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    <title language="eng">Design of control laws for robust global stabilization of multistable state periodic systems</title>
    <abstract language="eng">This paper continues with the development of the input‐to‐state stability (ISS)‐control Leonov function (CLeF) approach. The definitions of practical ISS and integral ISS (iISS)–CLeFs are refined, and the proposed methodology for control synthesis is improved to simplify the final control law. Then, it is shown that the existence of practical ISS‐ and iISS–CLeFs is a sufficient condition to guarantee the existence of a controller that endows multistable state periodic systems with the ISS and iISS properties, respectively. Furthermore, a methodology for the design of such a controller is provided via the well‐known Sontag's universal formula. Besides, an extension of the main result is presented to connect the ISS–CLeF approach with the standard Leonov function method such that the maximal invariant set of the closed‐loop system is compact on a manifold. Finally, the proposed approach is applied to the design of an excitation controller for a synchronous generator, which guarantees global ISS properties for the closed‐loop system, unlike the usual local results reported in the literature. The obtained control is also independent of the load angle. The effectiveness of the designed controller is demonstrated in simulations.</abstract>
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The definitions of practical ISS and integral ISS (iISS)\u2013CLeFs are refined, and the proposed methodology for control synthesis is improved to simplify the final control law. Then, it is shown that the existence of practical ISS\u2010 and iISS\u2013CLeFs is a sufficient condition to guarantee the existence of a controller that endows multistable state periodic systems with the ISS and iISS properties, respectively. Furthermore, a methodology for the design of such a controller is provided via the well\u2010known Sontag's universal formula. Besides, an extension of the main result is presented to connect the ISS\u2013CLeF approach with the standard Leonov function method such that the maximal invariant set of the closed\u2010loop system is compact on a manifold. 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