Stabilization of stochastic complex networks with switching jump diffusions based on adaptive aperiodically intermittent control

In this article, the exponential stabilization of stochastic complex networks with time delays, uncertainties and switching jump diffusions (SCNTDUSJD) is investigated via adaptive aperiodically intermittent control. It deserves mentioning that switching jump diffusions are state dependent and adapt...

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Bibliographic Details
Published in:Nonlinear dynamics 2021-06, Vol.104 (4), p.3737-3751
Main Authors: Liu, Yan, Chu, Dianhui, Zou, Yaxuan, Su, Huan
Format: Article
Language:English
Subjects:
Adaptive control
Automotive Engineering
Classical Mechanics
Control
Control stability
Dynamical Systems
Engineering
Euclidean space
Graph theory
Investigations
Liapunov functions
Markov analysis
Mechanical Engineering
Original Paper
Oscillators
Science
Stabilization
Switching
Vibration
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Summary:In this article, the exponential stabilization of stochastic complex networks with time delays, uncertainties and switching jump diffusions (SCNTDUSJD) is investigated via adaptive aperiodically intermittent control. It deserves mentioning that switching jump diffusions are state dependent and adaptive aperiodically intermittent control is applied to study the stabilization of SCNTDUSJD for the first time. Primarily, the Lyapunov function of SCNTDUSJD is constructed. Based on graph theory and the Lyapunov method, some sufficient conditions are given to ensure the exponential stability of SCNTDUSJD, which reflects that the controller plays an important role in the realization of stabilization. At the same time, our results can be applied to stochastic coupled oscillators with switching jump diffusions. Finally, in order to explain the effectiveness of theoretical results, relative numerical results are presented.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-021-06467-3