Exponential Stability of Nonlinear Fractional Stochastic System with Poisson Jumps
Probability
2020-09-15 v1 Dynamical Systems
Abstract
In this paper exponential stability of nonlinear fractional order stochastic system with Poisson jumps is studied in finite dimensional space. Existence and uniqueness of solution, stability and exponential stability results are established by using boundedness properties of Mittag-Leffler matrix function, fixed point route and local assumptions on nonlinear terms. A numerical example is given to illustrate the efficiency of the obtained results. Finally, conclusion is drawn.
Keywords
Cite
@article{arxiv.2009.05730,
title = {Exponential Stability of Nonlinear Fractional Stochastic System with Poisson Jumps},
author = {P. Balasubramaniam and T. Sathiyaraj and K. Priya},
journal= {arXiv preprint arXiv:2009.05730},
year = {2020}
}
Comments
11 pages, 3 figures