基于Razumikhin-Type理论的中立型随机切换非线性系统的P阶矩稳定性与几乎必然稳定性  

Razumikhin-Type Theorems on P-th Moment and Almost Sure Stability of Neutral Stochastic Switched Nonlinear Systems

作　　者：谷海波 高彩霞[2] Gu Haibo;Gao Caixia(Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190;School of Mathematical Sciences,Inner Mongolia University,Hohhot 010021)

机构地区：[1]中国科学院数学与系统科学研究院,北京100190 [2]内蒙古大学数学科学学院,呼和浩特010021

出　　处：《数学物理学报（A辑）》2018年第5期970-983,共14页Acta Mathematica Scientia

基　　金：国家自然科学基金(11261033)~~

摘　　要：研究了中立型随机切换非线性系统的P阶矩稳定性与几乎必然稳定性.采用LyapunovRazumikhin方法和随机分析技术,建立了中立型随机切换非线性系统稳定性的判别准则,给出了中立型随机切换非线性系统稳定的充分条件.最后通过仿真算例表明了所得结果的有效性.In this paper, P-th moment and almost sure stability for a class of neutral stochastic switched nonlinear systems have been investigated. By utilizing Lyapunov-Razumikhin approach, we employ the stochastic analysis techniques to establish novel stability criteria for neutral stochastic switched nonlinear systems. Some sufficient conditions have been derived to check the stability of the neutral stochastic switched nonlinear systems. One numerical example is provided to demonstrate the effectiveness of the results.

关 键 词：中立型随机切换非线性系统 P阶矩稳定性 几乎必然稳定性 Lyapunov-Razumikhin方法 

分 类 号：O231.2[理学—运筹学与控制论]