Uniform stability of stochastic impulsive systems: A new comparison method
Access Status
Open access
Authors
Xu, Honglei
Zhou, Guanglu
Caccetta, Louis
Teo, Kok Lay
Date
2015Type
Journal Article
Metadata
Show full item recordCitation
Xu, H. and Zhou, G. and Caccetta, L. and Teo, K.L. 2015. Uniform stability of stochastic impulsive systems: A new comparison method. Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms. 22 (1): pp. 43-52.
Source Title
Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms
Additional URLs
ISSN
School
Department of Mathematics and Statistics
Collection
Abstract
This paper studies uniform stability problems of stochastic impulsive systems by using a new comparison method. We firstly establish a comparison principle between the stochastic impulsive system and its scalar comparison system. Based on the obtained comparison result, uniform stability and uniform asymptotic stability of stochastic impulsive systems are established by analyzing those of comparison systems. Finally, a numerical example of a power system with random perturbations is presented to illustrate our results.
Related items
Showing items related by title, author, creator and subject.
-
Xu, H.; Teo, Kok Lay; Gui, W. (2011)This paper addresses fundamental stability problems of impulsive switched linear systems, featuring given impulsive switching time intervals and switching rules. First, based on the state dynamical behaviors, we construct ...
-
Xu, Honglei (2009)Switched systems belong to a special class of hybrid systems, which consist of a collection of subsystems described by continuous dynamics together with a switching rule that specifies the switching between the subsystems. ...
-
Liu, Chunmin (2008)The optimization problems involving stochastic systems are often encountered in financial systems, networks design and routing, supply-chain management, actuarial science, telecommunications systems, statistical pattern ...