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Stabilization of interconnected nonlinear stochastic Markovian jump systems via dissipativity approach |
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| Authors: | Zhongwei Lin Jizhen Liu Weihai Zhang Yuguang Niu |
| Affiliation: | aState Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources, School of Control and Computer Engineering, North China Electric Power University, Beijing 102206, China;bCollege of Information and Electrical Engineering, Shandong University of Science and Technology, Qingdao 266510, China |
| Abstract: | This paper considers the stabilization problems for interconnected nonlinear stochastic Markovian jump systems from the viewpoint of dissipativity theory. Based on the strongly stochastic passivity theory, the feedback equivalence and global stabilization problems are studied for interconnected nonlinear stochastic Markovian jump systems. The strongly stochastic γ-dissipativity sustains a direct H∞ control for this class of systems instead of solving coupled Hamilton–Jacobi inequalities. |
| Keywords: | Stochastic systems Nonlinear systems Markovian jumps Dissipative systems _method=retrieve& _eid=1-s2 0-S0005109811004341& _mathId=si3 gif& _pii=S0005109811004341& _issn=00051098& _acct=C000054348& _version=1& _userid=3837164& md5=01c642539ecba903f7054ca353f73d06')" style="cursor:pointer H&infin" target="_blank">">H&infin control |
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