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Improved delay‐partitioning approach to robust stability analysis for discrete‐time systems with time‐varying delays and randomly occurring parameter uncertainties |
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| Authors: | OM Kwon MJ Park Ju H Park SM Lee EJ Cha |
| Affiliation: | 1. School of Electrical Engineering, Chungbuk National University, Cheongju, 361‐763, Korea;2. Nonlinear Dynamics Group, Department of Electrical Engineering, Yeungnam University, Kyongsan, 712‐749, Korea;3. School of Electronic Engineering, Daegu University, Gyeongsan, 712‐714, Korea;4. Department of Biomedical Engineering, School of Medicine, Chungbuk National University, Cheongju, 361‐763, Korea |
| Abstract: | This paper is concerned with the robust stability problem for uncertain discrete‐time systems with interval time‐varying delays and randomly occurring parameter uncertainties. By construction of a suitable Lyapunov–Krasovskii functional and utilization of new zero equalities with delay‐partitioning approach, improved delay‐dependent criteria for the robust stability of the systems are derived in terms of linear matrix inequalities for guaranteeing the asymptotic stability of the concerned systems. The effectiveness and reduction of conservatism of the derived results are demonstrated by three numerical examples. Copyright © 2014 John Wiley & Sons, Ltd. |
| Keywords: | discrete‐time systems interval time‐varying delay robust stability randomly occurring uncertainties Lyapunov method |
