A Characterization of Integral ISS for Switched and Time-Varying Systems

Haimovich, Hernan
Mancilla Aguilar, Jose Luis

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Publication date

July 2017

DOI

10.1109/TAC.2017.2729284

Publisher

Institute of Electrical and Electronics Engineers (IEEE)

Journal

IEEE Transactions on Automatic Control

Abstract

Most of the existing characterizations of the integral input-to-state stability (iISS) property are not valid for time-varying or switched systems in cases where converse Lyapunov theorems for stability are not available. This paper provides a characterization that is valid for switched and time-varying systems, and shows that natural extensions of some of the existing characterizations result in only sufficient but not necessary conditions. The results provided also pinpoint suitable iISS gains and relate these to supply functions and bounds on the function defining the system dynamics.Fil: Haimovich, Hernan. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Centro Internacional Fr...