Stability of Solutions for Stochastic Impulsive Systems via Comparison Approach

This note studies stability problem of solutions for stochastic impulsive systems. By employing Lyapunov-like function method and It's formula, comparison principles of existence and uniqueness and stability of solutions for stochastic impulsive systems are established. Based on these compariso...

Full description

Saved in:
Bibliographic Details
Published in:IEEE transactions on automatic control 2008-10, Vol.53 (9), p.2128-2133
Main Author: Liu, Bin
Format: Article
Language:English
Subjects:
Applied sciences
Asymptotic stability
Automatic control
Biological neural networks
Biological system modeling
Biological systems
Comparison principle
Computer science
control theory
systems
Control system synthesis
Control systems
Control theory. Systems
Design engineering
Displays
Exact sciences and technology
impulsive control
ItÔ's formula
Rhythm
Stability
Stabilization
stochastic impulsive system (SIS)
Stochastic resonance
Stochastic systems
Stochasticity
Uniqueness
Working environment noise
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This note studies stability problem of solutions for stochastic impulsive systems. By employing Lyapunov-like function method and It's formula, comparison principles of existence and uniqueness and stability of solutions for stochastic impulsive systems are established. Based on these comparison principles, the stability properties of stochastic impulsive systems are derived by the corresponding stability properties of a deterministic impulsive system. As the application, the stability results are used to design impulsive control for the stabilization of unstable stochastic systems. Finally, one example is given to illustrate the obtained results.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2008.930185