Exponential Stability for Time-Delay Systems with Interval Time-Varying Delays and Nonlinear Perturbations
O. M. Kwon () and
J. H. Park
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O. M. Kwon: Chungbuk National University
J. H. Park: Yeungnam University
Journal of Optimization Theory and Applications, 2008, vol. 139, issue 2, No 5, 277-293
Abstract:
Abstract In this paper, the problem of an exponential stability for time-delay systems with interval time-varying delays and nonlinear perturbations is investigated. Based on the Lyapunov method, a new delay-dependent criterion for exponential stability is established in terms of LMI (linear matrix inequalities). Numerical examples are carried out to support the effectiveness of our results.
Keywords: Exponential stability; Interval time-varying delays; Nonlinear perturbations; Linear matrix inequalities; Lyapunov method (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1007/s10957-008-9417-z
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