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Asian Journal of Control, 2017
AbstractThis paper investigates the synchronization problem of a class of complex dynamical networks via an adaptive control method. It differs from existing works in considering intrinsic delay and multiple different time‐varying coupling delays, and uncertain couplings.
Chuan Zhang +3 more
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AbstractThis paper investigates the synchronization problem of a class of complex dynamical networks via an adaptive control method. It differs from existing works in considering intrinsic delay and multiple different time‐varying coupling delays, and uncertain couplings.
Chuan Zhang +3 more
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Chinese Physics B, 2012
This paper deals with the pinning synchronization of nonlinearly coupled complex networks with time-varying coupling delays and time-varying delays in the dynamical nodes. We control a part of the nodes of the complex networks by using adaptive feedback controllers and adjusting the time-varying coupling strengths.
Shu-Guo Wang, Hong-Xing Yao
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This paper deals with the pinning synchronization of nonlinearly coupled complex networks with time-varying coupling delays and time-varying delays in the dynamical nodes. We control a part of the nodes of the complex networks by using adaptive feedback controllers and adjusting the time-varying coupling strengths.
Shu-Guo Wang, Hong-Xing Yao
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Averaging Theory for Delay Difference Equations with Time-Varying Delays
SIAM Journal on Applied Mathematics, 1999A theory of averaging on both finite and infinite time intervals is developed for delay difference equations with time-varying delays. The main results are applied to the adaptive identification of a pipe mixing problem in the presence of time-varying transport delays.
Lehman, Brad, Weibel, Steven P.
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DELAYED TIME-VARYING H∞ CONTROL DESIGN
IFAC Proceedings Volumes, 2005Abstract The linear H∞ control problem is stated for time-varying plant with arbitrary delays and discontinuous coefficients. The image representation of the plant is explicitly written and full solution to the suboptimal control problem is presented.
Andrey E. Barabanov, Andrey Ghulchak
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Stability of time-varying switched systems with time-varying delay
Nonlinear Analysis: Hybrid Systems, 2009The author first gives a generalization of Halanay's inequality, and then uses this inequality to obtain sufficient conditions for the stability of the following switched delay system \[ x'(t)=A_{\sigma_i}(t)x(t)+B_{\sigma_i}(t)x(t-\tau(t))+\int_{t_0}^t f_{\sigma_i}(t-s)x(s)ds, \] where \[ x(t)\in \mathbb R^n, A_{\sigma_i}(t), B_{\sigma_i}(t)\in ...
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