期刊
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
卷 62, 期 9, 页码 4791-4797出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2017.2688350
关键词
Fixed dwell-time (FDT) condition; nonlinear impulsive systems; stochastic stability; stochastic systems
资金
- National Natural Science Foundation of China [61374026]
This paper studies stochastic input-to-state stability and stochastic global stability for impulsive stochastic nonlinear systems. Using fixed dwell-time condition and Lyapunov-based approach, sufficient conditions are established for the stability properties. Two cases are studied: 1) the case that the continuous dynamics is stable and 2) the case that the impulsive effects are stable. Furthermore, the relations among different dwell-time conditions are studied. Finally, two examples are used to illustrate the developed theory.
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