Exponential Stability of Impulsive Stochastic Delay System Based on Razumikhin Method and Its Application to Chaos Control | Zendy

Shiguo Huang | Zendy; Yujun Niu | Zendy; Yajing Xu | Zendy

Open Access

Exponential Stability of Impulsive Stochastic Delay System Based on Razumikhin Method and Its Application to Chaos Control

Author(s) -

Shiguo Huang,

Yujun Niu,

Yajing Xu

Publication year - 2021

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2021/2220301

Subject(s) - control theory (sociology) , chaos (operating system) , synchronization (alternating current) , mathematics , stability (learning theory) , white noise , noise (video) , signal (programming language) , synchronization of chaos , exponential stability , convergence (economics) , lyapunov stability , control (management) , computer science , nonlinear system , topology (electrical circuits) , artificial intelligence , physics , statistics , computer security , combinatorics , machine learning , quantum mechanics , economics , image (mathematics) , programming language , economic growth

In this paper, the exponential stability of a stochastic delay system with impulsive signal is considered, and stability theorem of this system is proposed based on the Lyapunov–Razumikhin method; the convergence rate is also given, which gives theoretical foundation to chaos control and synchronization using the impulsive method. Finally, the classic delay chaos system with white noise and impulsive signal is employed to verify the feasibility and effectiveness of our theorem.

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