Exponential ultimate boundedness of impulsive stochastic delay difference systems

被引：7

作者：

Xu, Liguang ^{[1
,3
]}

Hu, Hongxiao ^{[2
]}

Ge, Shuzhi Sam ^{[3
]}

机构：

[1] Zhejiang Univ Technol, Dept Appl Math, Hangzhou 310023, Zhejiang, Peoples R China

[2] Shanghai Univ Sci & Technol, Coll Sci, Shanghai, Peoples R China

[3] Natl Univ Singapore, Dept Elect & Comp Engn, Singapore, Singapore

来源：

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2018年 / 28卷 / 03期

基金：

中国国家自然科学基金;

关键词：

delay difference systems; exponential ultimate boundedness; impulsive control; stochastic effects; H-INFINITY CONTROL; NEURAL-NETWORKS; TIME-DELAY; DISTRIBUTED DELAYS; MEAN-SQUARE; STABILITY; EQUATIONS; CONTROLLABILITY; STABILIZATION; INVARIANT;

D O I：

10.1002/rnc.3901

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper is concerned with the exponential ultimate boundedness problems for the impulsive stochastic delay difference systems. Several sufficient conditions on the global pth moment exponential ultimate boundedness are presented by using the Lyapunov methods and the algebraic inequality techniques, and the estimated exponential convergence rate and the ultimate bound are provided as well. As an application, the boundedness criteria are applied to a class of discrete impulsive stochastic neural networks with delays. The obtained results show that the impulses not only can stabilize an unstable stochastic difference delay system but also can make an unbounded stochastic difference delay system into a bounded system. Examples and simulations are also provided to demonstrate the effectiveness of the derived theoretical results.

引用

页码：781 / 797

页数：17

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