Robust exponential stabilization for large-scale uncertain impulsive systems with coupling time-delays |
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Authors: | Bin Liu Kok Lay Teo Xinzhi Liu |
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Institution: | 1. College of Science, Chongqing Jiaotong University, Chongqing 400074, China;2. Department of Mathematics and Statistics, Curtin University of Technology, Perth, Western Australia, Australia;3. Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada |
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Abstract: | In this paper, we aim to study robust exponential stabilization for a large-scale uncertain impulsive system with coupling time-delays. Furthermore, we also provide an estimation of the rate of convergence of exponential stabilization. By utilizing the Lyapunov method and Razumikhin technique, we shall design the feedback hybrid controllers in terms of linear matrix inequalities under which the robust exponential stability is achieved for a closed-loop large-scale uncertain impulsive system with coupling time-delays. Moreover, we shall also use the results obtained to design impulsive controllers for a large-scale uncertain continuous system under which the closed-loop continuous system achieves robust and exponential stability. To illustrate our results, one example is solved. |
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Keywords: | Large-scale uncertain impulsive system Robust exponential stabilization Decay rate Lyapunov function Linear matrix inequality (LMI) Coupling time-delay Hybrid controller Impulsive controller |
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