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Stabilization for hybrid stochastic systems by aperiodically intermittent control
Nonlinear Analysis: Hybrid Systems ( IF 4.2 ) Pub Date : 2021-02-01 , DOI: 10.1016/j.nahs.2020.100990
Guangjun Shen , Ruidong Xiao , Xiuwei Yin , Jinhong Zhang

Abstract In this paper, the mean-square exponential stabilization for stochastic differential equations with Markovian switching is studied. Specifically, a new set of sufficient conditions is derived to obtain the aperiodically intermittent control design which exponentially stabilizes the addressed hybrid stochastic differential equations. Further, stabilization problem by periodically intermittent control can be deduced as a special case from the developed results. As an application, we consider the Hopfield neutral network model with simulations to illustrate the effectiveness of developed aperiodically intermittent control design.

中文翻译:

非周期性间歇控制对混合随机系统的稳定

摘要 本文研究了带马尔可夫切换的随机微分方程的均方指数镇定问题。具体来说,推导出一组新的充分条件以获得非周期性间歇控制设计,该设计以指数方式稳定所解决的混合随机微分方程。此外,周期性间歇控制引起的稳定性问题可以作为一种特殊情况从开发结果中推断出来。作为一个应用,我们考虑了带有模拟的 Hopfield 中性网络模型,以说明开发的非周期性间歇控制设计的有效性。
更新日期:2021-02-01
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