Exponential stability of switched linear systems with time-varying delay
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Date
2007-11-21
Authors
Phat, Vu Ngoc
Pairote, Satiracoo
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
We use a Lyapunov-Krasovskii functional approach to establish the exponential stability of linear systems with time-varying delay. Our delay-dependent condition allows to compute simultaneously the two bounds that characterize the exponential stability rate of the solution. A simple procedure for constructing switching rule is also presented.
Description
Keywords
Switched system, Time delay, Exponential stability, Lyapunov equation
Citation
Phat, V. N., & Pairote, S. (2007). Exponential stability of switched linear systems with time-varying delay. <i>Electronic Journal of Differential Equations, 2007</i>(159), pp. 1-10.
Rights
Attribution 4.0 International