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Asymptotic Disturbance Attenuation Properties for Continuous-Time Uncertain

Summary: Asymptotic Disturbance Attenuation
Properties for Continuous-Time Uncertain
Switched Linear Systems
Hai Lin
Panos J. Antsaklis

ECE Dept., National University of Singapore, Singapore
(e-mail: elelh@nus.edu.sg)

EE Dept., University of Notre Dame, IN 46556 USA
(e-mail: antsaklis.1@nd.edu)
Abstract: In this paper, the disturbance attenuation properties in the sense of uniformly
ultimate boundedness are investigated for a class of switched linear systems with parametric
uncertainties and exterior disturbances. The aim is to characterize the conditions under which
the switched system can achieve a finite disturbance attenuation level. First, arbitrary switching
signals are considered, and a necessary and sufficient condition is given. Secondly, conditions
on how to restrict the switching signals to achieve finite disturbance attenuation levels are
investigated. Two cases are considered here that depend on whether all the subsystems are
uniformly ultimately bounded or not. The techniques are based on multiple polyhedral Lyapunov
functions and their extensions.


Source: Antsaklis, Panos - Department of Electrical Engineering, University of Notre Dame


Collections: Engineering