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Title:A Lyapunov-based small-gain theorem for interconnected switched systems
Author(s):Yang, Guosong
Advisor(s):Liberzon, Daniel M.
Department / Program:Electrical & Computer Eng
Discipline:Electrical & Computer Engr
Degree Granting Institution:University of Illinois at Urbana-Champaign
Subject(s):Nonlinear system
interconnected system
switched system
small-gain theorem
Lyapunov function
Abstract:Stability of an interconnected system consisting of two switched systems is investigated in the scenario where in both switched systems there may exist some subsystems that are not input-to-state stable (non-ISS). We have shown that, providing the switching signals neither switch too frequently nor activate non-ISS subsystems for too long, a small-gain theorem can be used to conclude global asymptotic stability (GAS) of the interconnected system. For each switched system, with the constraints on the switching signal being modeled by an auxiliary timer, a correspondent hybrid system is defined to enable the construction of hybrid ISS Lyapunov functions. Apart from justifying the ISS property of their corresponding switched systems, these hybrid ISS Lyapunov functions are then combined to establish a Lyapunov-type small-gain condition which guarantees that the interconnected system is globally asymptotically stable.
Issue Date:2013-08-22
Rights Information:Copyright 2013 Guosong Yang
Date Available in IDEALS:2013-08-22
Date Deposited:2013-08

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