Exponential Stability for Uncertain Dynamic Systems with Time-Varying Delays: LMI Optimization Approach |
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| Authors: | O. M. Kwon J. H. Park S. M. Lee |
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| Affiliation: | (1) School of Electrical & Computer Engineering, Chungbuk National University, 410 SungBong-Ro, Heungduk-Gu, Cheongju, Republic of Korea;(2) Department of Electrical Engineering, Yeungnam University, Kyongsan, Republic of Korea;(3) Platform Verification Division, BcN Business Unit, KT CO. Ltd., Daejeon, Republic of Korea |
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| Abstract: | In this paper, we consider dynamic systems with uncertainties and time-varying delays. Based on the Lyapunov method and convex optimization approach, a delay-dependent criterion for exponential stability of the system is derived in terms of LMI (linear matrix inequality). In order to solve effectively the LMI convex optimization problem, an interior-point algorithm is utilized in this work. Numerical examples are illustrated to show the effectiveness of our results. |
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| Keywords: | Dynamic systems Delays Uncertainty Exponential stability LMI optimization Lyapunov method |
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