Journal ArticleDOI
Synchronization of hybrid-coupled delayed dynamical networks via aperiodically intermittent pinning control
Mei Liu,Haijun Jiang,Cheng Hu +2 more
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TLDR
By establishing a new differential inequality and constructing Lyapunov function, several useful criteria are derived analytically to realise exponential synchronization for both free time delay and small time delay in hybrid-coupled delayed dynamical networks via pinning aperiodically intermittent control.Abstract:
In this paper, we concern the exponential synchronization problem for hybrid-coupled delayed dynamical networks via pinning aperiodically intermittent control. Different from previous works, the delayed coupling term considered here contains the transmission delay and self-feedback delay, and the intermittent control can be aperiodic. By establishing a new differential inequality and constructing Lyapunov function, several useful criteria are derived analytically to realise exponential synchronization for both free time delay (there is no restriction imposed on the delay and the control (and/or rest) width) and small time delay (the delay is smaller than the minimum of control width). Moreover, the detail of pinning and aperiodically intermittent control strategy are provided. Finally, a numerical example is given to demonstrate the validness of the proposed scheme.read more
Citations
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Stabilization of Stochastic Uncertain Complex-Valued Delayed Networks via Aperiodically Intermittent Nonlinear Control
TL;DR: The stabilization problem of stochastic uncertain complex-valued delayed networks (SUCVDNs) via aperiodically intermittent nonlinear control is studied via the combination of the Lyapunov method and Kirchhoff’s matrix tree theorem in graph theory.
Journal ArticleDOI
Synchronization of memristive neural networks with mixed delays via quantized intermittent control
TL;DR: This paper considers asymptotic synchronization of drive-response memristive neural networks with bounded time-varying discrete delay and unbounded distributed delay (mixed delays), which extends existing intermittent control techniques and reveals new relationship between control width and rest width.
Journal ArticleDOI
Finite-time synchronization of delayed dynamical networks via aperiodically intermittent control
Mei Liu,Haijun Jiang,Cheng Hu +2 more
TL;DR: By establishing a new differential inequality and constructing Lyapunov function, several useful criteria are derived analytically to realize finite-time synchronization for delay complex networks via aperiodically intermittent control.
Journal ArticleDOI
Adaptive exponential cluster synchronization in colored community networks via aperiodically intermittent pinning control
TL;DR: This paper investigates the problem of pinning cluster synchronization for colored community networks via adaptive aperiodically intermittent control by introducing a novel piecewise continuous auxiliary function and derived criteria are rigorously derived according to Lyapunov stability theory and piecewise analysis approach.
Journal ArticleDOI
Synchronization of stochastic hybrid coupled systems with multi-weights and mixed delays via aperiodically adaptive intermittent control
Sen Li,Congying Lv,Xiaohua Ding +2 more
TL;DR: Because of using the established differential inequalities, the conditions on the delay-related parameters affecting the exponential convergence rate are weakened, which results in the exponential synchronization criteria obtained in this paper being less conservative than those in the existing literature.
References
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