期刊
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
卷 50, 期 9, 页码 3200-3209出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TSMC.2018.2870494
关键词
Comparison lemma; Markovian switching; monotone growth condition; practically asymptotic stability; practically exponential stability; self-triggered sampling rule; state-feedback control
资金
- National Natural Science Foundation of China [61773217, 61374080, 11701288]
- Natural Science Foundation of Jiangsu Province [BK20161552]
- Qing Lan Project of Jiangsu Province
- Priority Academic Program Development of Jiangsu Higher Education Institutions
- Postgraduate Research and Practice Innovation Program of Jiangsu Province [KYCX17_1074]
- Outstanding Doctoral Dissertation TopicSelection Project of Nanjing Normal University [YXXT17_006]
This paper deals with a state-feedback control scheme for nonlinear stochastic systems with Markovian switching. First, we present the results on the practically p-moment exponential stability with respect to an additional disturbance and the practically p-moment asymptotic stability relying on a specific event. However, elements in this event are hard to be observed directly. The main aim of this paper is to develop a self-triggered sampling rule to overcome this difficulty. By applying the improved monotone growth condition, Ito's formula, Fubini's theorem, Gronwall inequality, and comparison lemma, we establish a novel lemma to estimate the lower bound and upper bound of second-moment for state and error, respectively. Moreover, we also establish the practically asymptotic stability in mean square with the help of Jensen's inequality technique, properties of K-function and result on p-moment input-to-state stability. Furthermore, from Lipschitz continuity and monotonicity of functions, we obtain the value of the maximum triggering interval based on lasted-observed state. Finally, we give some remarks and discussions to show the significance of our results by comparing with those in the previous literature.
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