An Improved Delay-Dependent Criterion for Asymptotic Stability of Uncertain Dynamic Systems with Time-Varying Delays

O. M. Kwon (), J. H. Park () and S. M. Lee ()
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O. M. Kwon: Chungbuk National University
J. H. Park: Yeungnam University
S. M. Lee: Daegu University

Journal of Optimization Theory and Applications, 2010, vol. 145, issue 2, No 8, 343-353

Abstract: Abstract In this paper, the problem of stability analysis for uncertain dynamic systems with time-varying delays is considered. The parametric uncertainties are assumed to be bounded in magnitude. Based on the Lyapunov stability theory, a new delay-dependent stability criterion for the system is established in terms of linear matrix inequalities, which can be solved easily by various efficient convex optimization algorithms. Two numerical examples are illustrated to show the effectiveness of proposed method.

Keywords: Dynamic systems; Time-varying delays; LMI; Lyapunov method (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/s10957-009-9637-x

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