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...

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Bibliographic Details
Published in2022 IEEE 61st Conference on Decision and Control (CDC) pp. 7072 - 7077
Main Authors Mendoza-Avila, Jesus, Efimov, Denis, Mercado-Uribe, Angel, Schiffer, Johannes
Format Conference Proceeding
LanguageEnglish
Published IEEE 06.12.2022
Subjects
Perturbation methods
Robustness
Stability analysis
Trajectory
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Summary: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 iISS-Lyapunov 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.
ISSN:2576-2370
DOI:10.1109/CDC51059.2022.9993061