Stabilization of discrete‐time singular Markovian jump repeated vector nonlinear systems |
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| Authors: | Guoliang Wang Qingling Zhang Chunyu Yang |
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| Affiliation: | 1. School of Information and Control Engineering, Liaoning Shihua University, Fushun, Liaoning, China;2. Institute of Systems Science, Northeastern University, Shenyang, Liaoning, China;3. State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, Liaoning, China;4. School of Information and Electrical Engineering, China University of Mining and Technology, Xuzhou, Jiangsu, China |
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| Abstract: | This paper studies the control problem for discrete‐time singular Markovian jump systems with repeated vector nonlinearities. Sufficient conditions for stochastic stability are established, where the uniqueness of solution to the underlying system is also guaranteed. Then, a series of formulations of stabilizing conditions is further developed to design mode‐dependent and mode‐independent controllers by using the linear matrix inequality approach. Based on the proposed results, more special cases for stabilizing controller are considered. Finally, numerical examples are used to demonstrate the effectiveness and superiority of the proposed methods. Copyright © 2015 John Wiley & Sons, Ltd. |
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| Keywords: | singular Markovian jump systems repeated vector nonlinearity the uniqueness of solution linear matrix inequalities (LMIs) |
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