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Nonpathological ISS-Lyapunov Functions for Interconnected Differential Inclusions.

Authors :
Rossa, Matteo Della
Tanwani, Aneel
Zaccarian, Luca
Source :
IEEE Transactions on Automatic Control; Aug2022, Vol. 67 Issue 8, p3774-3789, 16p
Publication Year :
2022

Abstract

This article concerns robustness analysis for interconnections of two dynamical systems (described by upper semicontinuous differential inclusions) using a generalized notion of derivatives associated with locally Lipschitz Lyapunov functions obtained from a finite family of differentiable functions. We first provide sufficient conditions for input-to-state stability for differential inclusions, using a class of nonsmooth (but locally Lipschitz) candidate Lyapunov functions and the concept of Lie generalized derivative. In general our conditions are less conservative than the more common Clarke derivative-based conditions. We apply our result to state-dependent switched systems, and to the interconnection of two differential inclusions. As an example, we propose an observer-based controller for certain nonlinear two-mode state-dependent switched systems. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00189286
Volume :
67
Issue :
8
Database :
Complementary Index
Journal :
IEEE Transactions on Automatic Control
Publication Type :
Periodical
Accession number :
158242306
Full Text :
https://doi.org/10.1109/TAC.2021.3115437