Piyapong Niamsup, Kanit Mukdasai, Vu N. Phat
Abstract:
This paper addresses the problem of exponential stability for
a class of uncertain linear non-autonomous time-delay
systems. Here, the parameter uncertainties are
time-varying and unknown but norm-bounded and the delays are
time-varying. Based on combination of the Riccati equation approach and
the use of suitable Lyapunov-Krasovskii functional, new sufficient
conditions for the robust stability are obtained in terms
of the solution of Riccati-type equations. The approach allows to
compute simultaneously the two bounds that characterize the
exponential stability rate of the solution. As an application,
sufficient conditions for the robust stabilization are derived.
Numerical examples illustrated the results are given.
Submitted September 28, 2007. Published February 22, 2008.
Math Subject Classifications: 93D15, 34D20, 49K20.
Key Words: Non-autonomous systems; time-delay systems; uncertainties;
exponential stability; stabilization; Lyapunov function; Riccati equation.
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Piyapong Niamsup Department of Mathematics, Chiangmai University Chiangmai 50200, Thailand email: scipnmsp@chiangmai.ac.th |
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Kanit Mukdasai Department of Mathematics, Chiangmai University Chiangmai 50200, Thailand email: kanitmukdasai@hotmail.com |
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Vu Ngoc Phat Institute of Mathematics 18 Hoang Quoc Viet Road, Hanoi, Vietnam email: vnphat@math.ac.vn |
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