论文标题

泊松跳跃的非线性分数随机系统的指数稳定性

Exponential Stability of Nonlinear Fractional Stochastic System with Poisson Jumps

论文作者

Balasubramaniam, P., Sathiyaraj, T., Priya, K.

论文摘要

在本文中,在有限的维空间中研究了非线性分数随机系统的指数稳定性。通过使用Mittag-Leffler矩阵函数,固定点路由和对非线性项的局部假设,建立了解决方案,稳定性和指数稳定结果的独特性。给出了一个数值示例,以说明获得的结果的效率。最后,得出结论。

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.

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