Abstract | ||
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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 |
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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 Chao | 1 | 17 | 3.03 |
Kai Wang | 2 | 1734 | 195.03 |
Chao Zhu | 3 | 3 | 2.44 |
Yanling Zhu | 4 | 12 | 2.68 |