Weighted Average Pinning Synchronization for a Class of Coupled Neural Networks with Time-Varying Delays

Qingbo Li; Jin Guo; Yuanyuan Wu; Chang Yin Sun

doi:10.1007/s11063-016-9514-1

Weighted Average Pinning Synchronization for a Class of Coupled Neural Networks with Time-Varying Delays

Qingbo Li
, Jin Guo
, Yuanyuan Wu
, Chang Yin Sun

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

This paper deals with the pinning synchronization problem for a class of neural networks with time-varying delay and nonsymmetrical coupling. The weighted average of all the node states is selected as the controlled synchronization state. A pinning feedback controller is proposed, and some sufficient conditions are derived to guarantee the global asymptotical synchronization by use of the Lyapunov–Krasovskii function method. Consequently, the adaptive pinning synchronization is also investigated. Finally, a numerical example is given to show the effectiveness of the main results.

Original language	English
Pages (from-to)	95-108
Number of pages	14
Journal	Neural Processing Letters
Volume	45
Issue number	1
DOIs	https://doi.org/10.1007/s11063-016-9514-1
State	Published - 1 Feb 2017
Externally published	Yes

Keywords

(Adaptive) pinning synchronization
Coupled neural networks
Lyapunov–Krasovskii function
Time-varying delays

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10.1007/s11063-016-9514-1

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title = "Weighted Average Pinning Synchronization for a Class of Coupled Neural Networks with Time-Varying Delays",

abstract = "This paper deals with the pinning synchronization problem for a class of neural networks with time-varying delay and nonsymmetrical coupling. The weighted average of all the node states is selected as the controlled synchronization state. A pinning feedback controller is proposed, and some sufficient conditions are derived to guarantee the global asymptotical synchronization by use of the Lyapunov–Krasovskii function method. Consequently, the adaptive pinning synchronization is also investigated. Finally, a numerical example is given to show the effectiveness of the main results.",

keywords = "(Adaptive) pinning synchronization, Coupled neural networks, Lyapunov–Krasovskii function, Time-varying delays",

author = "Qingbo Li and Jin Guo and Yuanyuan Wu and Sun, \{Chang Yin\}",

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AU - Li, Qingbo

AU - Guo, Jin

AU - Wu, Yuanyuan

AU - Sun, Chang Yin

PY - 2017/2/1

Y1 - 2017/2/1

N2 - This paper deals with the pinning synchronization problem for a class of neural networks with time-varying delay and nonsymmetrical coupling. The weighted average of all the node states is selected as the controlled synchronization state. A pinning feedback controller is proposed, and some sufficient conditions are derived to guarantee the global asymptotical synchronization by use of the Lyapunov–Krasovskii function method. Consequently, the adaptive pinning synchronization is also investigated. Finally, a numerical example is given to show the effectiveness of the main results.

AB - This paper deals with the pinning synchronization problem for a class of neural networks with time-varying delay and nonsymmetrical coupling. The weighted average of all the node states is selected as the controlled synchronization state. A pinning feedback controller is proposed, and some sufficient conditions are derived to guarantee the global asymptotical synchronization by use of the Lyapunov–Krasovskii function method. Consequently, the adaptive pinning synchronization is also investigated. Finally, a numerical example is given to show the effectiveness of the main results.

KW - (Adaptive) pinning synchronization

KW - Coupled neural networks

KW - Lyapunov–Krasovskii function

KW - Time-varying delays

UR - https://www.scopus.com/pages/publications/84961152617

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VL - 45

SP - 95

EP - 108

JO - Neural Processing Letters

JF - Neural Processing Letters

IS - 1

ER -

Weighted Average Pinning Synchronization for a Class of Coupled Neural Networks with Time-Varying Delays

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Keywords

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