Complete Controllability of Impulsive Stochastic Integrodifferential Systems in Hilbert Space-Reference-Cited by-同舟云学术

Complete Controllability of Impulsive Stochastic Integrodifferential Systems in Hilbert Space

Published:2013 Issue: Volume:2013 Page:1-7
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Dai Xisheng¹²^ORCID,Yang Feng¹^ORCID

Affiliation:

1. School of Electrical and Information Engineering, Guangxi University of Science and Technology, Liuzhou 545006, China

2. School of Information and Electrical Engineering, Shandong University of Science and Technology, Qingdao 266510, China

Abstract

This paper concerns the complete controllability of the impulsive stochastic integrodifferential systems in Hilbert space. Based on the semigroup theory and Burkholder-Davis-Gundy's inequality, sufficient conditions of the complete controllability for impulsive stochastic integro-differential systems are established by using the Banach fixed point theorem. An example for the stochastic wave equation with impulsive effects is presented to illustrate the utility of the proposed result.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2013/783098.pdf

Reference22 articles.

1. Controllability of linear stochastic systems

2. On the controllability of a class of nonlinear stochastic systems

3. Controllability of nonlinear Itô type stochastic integrodifferential systems