Existence, Uniqueness, and Almost Sure Exponential Stability of Solutions to Nonlinear Stochastic System with Markovian Switching and Lévy Noises

Existence, Uniqueness, and Almost Sure Exponential Stability of Solutions to Nonlinear Stochastic System with Markovian Switching and Lévy Noises

This paper is concerned with existence, uniqueness, and almost sure exponential stability of solutions to nonlinear stochastic system with Markovian switching and Lévy noises. Firstly, the existence and uniqueness of solutions to the system is studied. Then, the almost sure exponential stability of...

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Veröffentlicht in:Complexity (New York, N.Y.) N.Y.), 2020, Vol.2020 (2020), p.1-7, Article 2804184
1. Verfasser: Wei, Chao
Format: Artikel
Sprache:eng
Schlagworte:
Decomposition
Diffusion
Engineering
Markov analysis
Mathematical functions
Mathematics
Mathematics, Interdisciplinary Applications
Multidisciplinary Sciences
Noise
Physical Sciences
Science & Technology
Science & Technology - Other Topics
Stability
Stochastic systems
Switching
Uniqueness
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Zusammenfassung:This paper is concerned with existence, uniqueness, and almost sure exponential stability of solutions to nonlinear stochastic system with Markovian switching and Lévy noises. Firstly, the existence and uniqueness of solutions to the system is studied. Then, the almost sure exponential stability of the system is derived. Finally, an example is presented to illustrate the results.
ISSN:1076-2787
1099-0526
DOI:10.1155/2020/2804184