Delay‐dependent robust control for singular discrete‐time Markovian jump systems with time‐varying delay |
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| Authors: | Wuneng Zhou Hongqian Lu Chunmei Duan Minghao Li |
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| Affiliation: | 1. College of Information Science and Technology, Donghua University, Shanghai 201620, People's Republic of China;2. School of Electronic Information and Control Engineering, Shandong Institute of Light Industry, Jinan 250353, China;3. School of Management and Economics, Shandong Normal University, Jinan 250014, China |
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| Abstract: | The problem of delay‐dependent robust stabilization for uncertain singular discrete‐time systems with Markovian jumping parameters and time‐varying delay is investigated. In terms of free‐weighting‐matrix approach and linear matrix inequalities, a delay‐dependent condition is presented to ensure a singular discrete‐time system to be regular, causal and stochastically stable based on which the stability analysis and robust stabilization problem are studied. An explicit expression for the desired state‐feedback controller is also given. Some numerical examples are provided to demonstrate the effectiveness of the proposed approach. Copyright © 2009 John Wiley & Sons, Ltd. |
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| Keywords: | Markovian jumping parameters uncertain singular discrete‐time systems time‐varying delay linear matrix inequality |
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