Parameter-dependent robust stability for uncertain Markovian jump systems with time delay |
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Authors: | Hongyi Li Qi Zhou Honghai Liu |
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Affiliation: | a Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin 150001, PR China b Intelligent Systems & Biomedical Robotics Group, University of Portsmouth, Portsmouth, PO1 2DJ, UK c School of Automation, Nanjing University of Science and Technology, Nanjing 210094, PR China d Institute of Complexity Science, Qingdao University, Qingdao 266071, PR China |
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Abstract: | In this paper, the problem of parameter-dependent robust stability analysis is addressed for uncertain Markovian jump linear systems (MJLSs) with polytopic parameter uncertainties and time-varying delay. By constructing parameter-dependent Lyapunov functional, some sufficient conditions are developed to enable robust exponential mean square stability for the systems. New parameter-dependent robust stability criteria for MJLSs are established in the form of linear matrix inequalities (LMIs), which can be solved efficiently by the interior-point algorithm. Finally, a numerical example is given to demonstrate the effectiveness of the proposed approach. |
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