Title
Almost Sure and Moment Exponential Stability of Regime-Switching Jump Diffusions.
Abstract
This work is devoted to almost sure and moment exponential stability of regime-switching jump diffusions. The Lyapunov function method is used to derive sufficient conditions for stabilities for general nonlinear systems, which further helps to derive easily verifiable conditions for linear systems. For one-dimensional linear regime-switching jump diffusions, necessary and sufficient conditions for almost sure and pth moment exponential stabilities are presented. Several examples are provided for illustration.
Year
DOI
Venue
2017
10.1137/16M1082470
SIAM JOURNAL ON CONTROL AND OPTIMIZATION
Keywords
Field
DocType
regime-switching jump diffusion,almost sure exponential stability,pth moment exponential stability,Lyapunov exponent,Poisson random measure
Lyapunov function,Mathematical optimization,Nonlinear system,Exponential function,Linear system,Mathematical analysis,Poisson random measure,Exponential stability,Jump,Mathematics,Lyapunov exponent
Journal
Volume
Issue
ISSN
55
6
0363-0129
Citations 
PageRank 
References 
1
0.35
3
Authors
4
Name
Order
Citations
PageRank
Zhen Chao1173.03
Kai Wang21734195.03
Chao Zhu332.44
Yanling Zhu4122.68