Stability and dissipative analysis for a class of stochastic system with time-delay |
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| Authors: | Hao Zhang Huaicheng Yan |
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| Institution: | a Department of Control Science and Engineering, Tongji University, Shanghai 200092, PR China
b School of Information Science and Information, East China University of Science and Technology, Shanghai 200237, PR China |
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| Abstract: | This paper deals with the stability and dissipative problem of a class of stochastic hybrid system. The system under study involves Markovian jump, impulsive effects and time delay, which are often encountered in practice and are the sources of instability. Our attention is focused on analysis of whether the stochastic hybrid system with time-delay is stochastically asymptotically stable and strictly (Q, S, R) dissipative. By introducing an extra artificial time instance, the equivalent system is obtained and the sufficient conditions are derived by using linear matrix inequality (LMI) techniques. The main results of this paper unify the existing results on H∞ control. |
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| Keywords: | Stability Stochastic hybrid systems Dissipative Time-delay _method=retrieve& _eid=1-s2 0-S0016003210000694& _mathId=si0002 gif& _pii=S0016003210000694& _issn=00160032& _acct=C000069490& _version=1& _userid=6211566& md5=7ce1ff3943af2cb0ec5a75346c5bcb79')" style="cursor:pointer H&infin" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">H&infin control Linear matrix inequality (LMI) |
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