Pinning Stabilization of Cellular Neural Networks with Time-Delay Via Delayed Impulses

Kexue Zhang (), Xinzhi Liu () and Wei-Chau Xie ()
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Kexue Zhang: University of Waterloo, Department of Applied Mathematics
Xinzhi Liu: University of Waterloo, Department of Applied Mathematics
Wei-Chau Xie: University of Waterloo, Department of Civil and Environmental Engineering

A chapter in Mathematical and Computational Approaches in Advancing Modern Science and Engineering, 2016, pp 775-785 from Springer

Abstract: Abstract This paper studies the pinning stabilization problem of time-delay cellular neural networks. A new pinning delayed-impulsive controller is proposed to stabilize the networks. Based on a Razumikhin-type stability result, a global exponential stability of time-delay cellular neural networks with delayed impulses is constructed. It is shown that the global exponential stabilization of delayed cellular neural networks can be effectively realized by controlling a small portion of units in the networks via delayed impulses. Numerical simulations are provided to illustrate the theoretical result.

Keywords: Cellular Neural Network; Impulsive Control; Impulsive System; Global Exponential Stability; Quadratic Lyapunov Function (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-30379-6_69

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DOI: 10.1007/978-3-319-30379-6_69

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