This paper is devoted to the module-phase synchronization issue of complex-valued neural networks with time-varying delay. Firstly, based on the pinning control concept, a novel quasi-pinning control scheme is propose...
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ISBN:
(纸本)9798350366907;9789887581581
This paper is devoted to the module-phase synchronization issue of complex-valued neural networks with time-varying delay. Firstly, based on the pinning control concept, a novel quasi-pinning control scheme is proposed to promote the module-phase synchronization of the drive-response systems. Subsequently, by combining Lyapunov stability theory and matrix inequality techniques, sufficient criteria are derived to achieve the module-phase synchronization. Finally, one numerical example is provided to demonstrate the effectiveness and feasibility of the proposed control strategy.
This paper is devoted to the module-phase synchronization issue of complex-valued neural networks with time-varying delay. Firstly, based on the pinning control concept, a novel quasi-pinning control scheme is propose...
详细信息
ISBN:
(数字)9789887581581
ISBN:
(纸本)9798350366907
This paper is devoted to the module-phase synchronization issue of complex-valued neural networks with time-varying delay. Firstly, based on the pinning control concept, a novel quasi-pinning control scheme is proposed to promote the modulephasesynchronization of the drive-response systems. Subsequently, by combining Lyapunov stability theory and matrix inequality techniques, sufficient criteria are derived to achieve the module-phase synchronization. Finally, one numerical example is provided to demonstrate the effectiveness and feasibility of the proposed control strategy.
This paper presents the module-phase synchronization for a class of neural networks with weights identification and time delays. In module-phase synchronization, complex-valued node states are taken into consideration...
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This paper presents the module-phase synchronization for a class of neural networks with weights identification and time delays. In module-phase synchronization, complex-valued node states are taken into consideration. The topology weights considered here are uncertain and the time delays are bounded. By constructing a Lyapunov-Krasovskii functional and employing adaptive feedback control, sufficient conditions for module-phase synchronization are derived. After the general synchronization theory, the synchronization with topology identification is discussed. Finally, pertinent examples are given to demonstrate the effectiveness of the obtained results.
This paper focuses on synchronization for complex-valued shunting inhibitory cellular neural networks (SICNNs) with distributed delays and designs a novel feedback controller to ensure module-phase synchronization. Fo...
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ISBN:
(纸本)9789811903908;9789811903892
This paper focuses on synchronization for complex-valued shunting inhibitory cellular neural networks (SICNNs) with distributed delays and designs a novel feedback controller to ensure module-phase synchronization. For the discussion of module-phase synchronization, a lemma is given to show the existence of the bounded solution of the drive system. By constructing a Lyapunov functional and employing the inequality technique, sufficient conditions for module-phase synchronization of complex-valued SICNNs are derived. Finally, the validity of obtained results is demonstrated by a numerical example.
This paper studies the modified complex projective synchronization which has plural projective factors and is meaningful to complex systems, and applies this kind of synchronization in a hyperchaotic complex Lorenz sy...
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This paper studies the modified complex projective synchronization which has plural projective factors and is meaningful to complex systems, and applies this kind of synchronization in a hyperchaotic complex Lorenz system. Based on the proposed synchronization, we also study the hybrid synchronization which contains modified complex projection and module-phase synchronization because hybrid synchronization not only deal with the synchronization real part and imaginary part, respectively, but also take module and phase of complex system into consideration. Owing to it is difficult to design the controller directly, our work involve an intermediary system. The asymptotic convergence of the errors between the states is proven and the computer simulation results present the effectiveness of our method. (c) 2014 Elsevier Inc. All rights reserved.
The concept of module-phase synchronization was proposed. The chaos synchronization between drive system and response system was achieved in module space and phase space respectively (module-phase synchronization). Di...
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The concept of module-phase synchronization was proposed. The chaos synchronization between drive system and response system was achieved in module space and phase space respectively (module-phase synchronization). Different from the evolutions in real space, there is no pseudorandom behavior in phase space when module-phase synchronization achieve. All the phases of complex state variables switched between two fixed values which are determined by initial values of drive system. And the modules varied within a bounded field. The theoretical analysis and the simulations were also given. (C) 2010 Elsevier Inc. All rights reserved.
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