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On Relaxed Conditions of Integral ISS for Multistable Periodic Systems

  • A novel characterization of the integral Inputto- State Stability (iISS) property is introduced for multistable systems whose dynamics are periodic with respect to a part of the state. First, the concepts of iISS-Leonov functions and output smooth dissipativity are introduced, then their equivalence to the properties of bounded-energy-bounded-state and global attractiveness of solutions in the absence of disturbances are proven. The proposed approach permits to relax the usual requirements of positive definiteness and periodicity of the iISSLyapunov functions. Moreover, the usefulness of the theoretical results is illustrated by a robustness analysis of a nonlinear pendulum with a constant bias input and an unbounded statedependent input coefficient.

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Metadaten
Author: Jesus Mendoza-Avila, Denis Efimov, Angel Mercado-Uribe, Johannes SchifferORCiD
URL:https://hal.archives-ouvertes.fr/hal-03778051/
Title of the source (English):Proceedings of the 2021 61st IEEE Conference on Decision and Control (CDC)
Document Type:Conference publication peer-reviewed
Language:English
Year of publication:2022
Number of pages:6
Faculty/Chair:Fakultät 3 Maschinenbau, Elektro- und Energiesysteme / FG Regelungssysteme und Netzleittechnik
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