Stability of Markovian Jump Systems over Networks via Delta Operator Approach |
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Authors: | Hongjiu Yang Yuanqing Xia Peng Shi Mengyin Fu |
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Affiliation: | 1. Department of Automatic Control, Beijing Institute of Technology, Beijing, 100081, China 2. Department of Computing and Mathematical Sciences, University of Glamorgan, Pontypridd, CF37 1DL, UK 3. School of Engineering and Science, Victoria University, Melbourne, 8001 VIC, Australia 4. Faculty of Automation, Harbin University of Science and Technology, Harbin, China
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Abstract: | This paper investigates the problem of stability for a class of linear uncertain Markovian jump systems over networks via the delta operator approach. The sensor-to-controller random network-induced delay and arbitrary packet losses are considered for mode-dependent time delays. That is, a Markov process is used to model the time-varying delays which are dependent on the system mode. Based on the Lyapunov–Krasovskii functional in the delta domain, a new sufficient condition for the solvability of the stability problem is presented in terms of linear matrix inequalities. A numerical example is given to illustrate the effectiveness of the techniques developed. |
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