TY - GEN A1 - Mendoza-Avila, Jesus A1 - Efimov, Denis A1 - Mercado-Uribe, Angel A1 - Schiffer, Johannes T1 - On Relaxed Conditions of Integral ISS for Multistable Periodic Systems T2 - Proceedings of the 2021 61st IEEE Conference on Decision and Control (CDC) N2 - 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. Y1 - 2022 UR - https://hal.archives-ouvertes.fr/hal-03778051/ ER - TY - GEN A1 - Mendoza-Avila, Jesus A1 - Mercado-Uribe, Angel A1 - Efimov, Denis A1 - Schiffer, Johannes T1 - Design of controls for ISS and Integral ISS Stabilization of Multistable State Periodic Systems T2 - IFAC-PapersOnLine Y1 - 2023 U6 - https://doi.org/https://doi.org/10.1016/j.ifacol.2023.10.936 VL - 56 IS - 2 SP - 4472 EP - 4477 ER - TY - GEN A1 - Mendoza-Avila, Jesus A1 - Efimov, Denis A1 - Mercado-Uribe, Angel A1 - Schiffer, Johannes T1 - Design of Controls for Boundedness of Trajectories of Multistable State Periodic Systems T2 - 62nd IEEE Conference on Decision and Control (CDC), 2023 Y1 - 2023 SN - 979-8-3503-0124-3 SN - 979-8-3503-0123-6 U6 - https://doi.org/10.1109/CDC49753.2023.10383528 SN - 2576-2370 ER - TY - GEN A1 - Mercado-Uribe, Angel A1 - Mendoza-Avila, Jesus A1 - Efimov, Denis A1 - Schiffer, Johannes T1 - Conditions for global synchronization in networks of heterogeneous Kuramoto oscillators T2 - Automatica N2 - 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. Y1 - 2025 U6 - https://doi.org/10.1016/j.automatica.2025.112180 SN - 0005-1098 VL - 175 SP - 1 EP - 11 PB - Elsevier BV CY - Amsterdam ER -