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A new augmented Lyapunov-Krasovskii functional approach for stability of linear systems with time-varying delays |
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| Authors: | MJ Park Ju H Park |
| Institution: | a School of Electrical Engineering, Chungbuk National University, 410 Seongbong-ro, Heungduk-gu, Cheongju 361-763, Republic of Korea b Nonlinear Dynamics Group, Department of Electrical Engineering, Yeungnam University, 214-1 Dae-dong, Kyonggsan 712-749, Republic of Korea c School of Electronics Engineering, Daegu University, Jinryang-eup, Gyeongsan 712-714, Republic of Korea |
| Abstract: | This paper proposes improved delay-dependent conditions for asymptotic stability of linear systems with time-varying delays. The proposed method employs a suitable Lyapunov-Krasovskii’s functional for new augmented system. Based on Lyapunov method, delay-dependent stability criteria for the systems are established in terms of linear matrix inequalities (LMIs) which can be easily solved by various optimization algorithms. Three numerical examples are included to show that the proposed method is effective and can provide less conservative results. |
| Keywords: | Lyapunov-Krasovskii functional Time-varying delay Stability Linear matrix inequality (LMI) |
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