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

数学物理学报 ›› 2018, Vol. 38 ›› Issue (5): 970-983.

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

谷海波^1,*(),高彩霞²()

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

收稿日期:2017-03-14 出版日期:2018-10-26 发布日期:2018-11-09
通讯作者: 谷海波 E-mail:guhaibo@amss.ac.cn;gaocx0471@163.com
作者简介:高彩霞, E-mail:gaocx0471@163.com
基金资助:
国家自然科学基金(11261033)

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

Haibo Gu^1,*(),Caixia Gao²()

¹ Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190
² School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021

Received:2017-03-14 Online:2018-10-26 Published:2018-11-09
Contact: Haibo Gu E-mail:guhaibo@amss.ac.cn;gaocx0471@163.com
Supported by:
the NSFC(11261033)

摘要/Abstract

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Lyapunov-Razumikhin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.

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

Abstract:

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.

Key words: Neutral stochastic switched nonlinear system, P-th moment stability, Almost surely stability, Lyapunov-Razumikhin approach

中图分类号:

O231.2

谷海波,高彩霞. 基于Razumikhin-Type理论的中立性随机切换非线性系统的P阶矩稳定性与几乎必然稳定性[J]. 数学物理学报, 2018, 38(5): 970-983.

Haibo Gu,Caixia Gao. Razumikhin-Type Theorems on P-th Moment and Almost Sure Stability of Neutral Stochastic Switched Nonlinear Systems[J]. Acta mathematica scientia,Series A, 2018, 38(5): 970-983.

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