期刊
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
卷 60, 期 9, 页码 2428-2433出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2014.2382992
关键词
Finite-time stability; Markovian switching; stochastic systems
资金
- National Natural Science Foundation of China [61403221, 61174078, 61473202]
- Natural Science Foundation of Shandong Province [ZR2013FM022]
- Research Fund for the Taishan Scholar Project of Shandong Province of China
- SDUST ResearchFund [2011KYTD105]
This technical note is concerned about the finite-time stability and stabilization for Ito stochastic systems with Markovian switching. A mode-dependent parameter approach is proposed to give a sufficient condition for finite-time stability, and its superiority to common parameter approach is analyzed. Moreover, the finite-time stabilization is studied and two new sufficient conditions for the existence of state and output feedback controllers are presented in terms of coupled matrix inequalities. A N-mode algorithm is given for solving the obtained matrix inequalities arising from finite-time stability(stabilization). Finally, an example is employed to illustrate the effectiveness of our obtained results.
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