Neutral impulsive shunting inhibitory cellular neural networks with time-varying coefficients and leakage delays.
Cogn Neurodyn 2016;
10:573-591. [PMID:
27891204 DOI:
10.1007/s11571-016-9405-1]
[Citation(s) in RCA: 51] [Impact Index Per Article: 6.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/11/2016] [Revised: 07/18/2016] [Accepted: 08/18/2016] [Indexed: 10/21/2022] Open
Abstract
In this article, we consider a class of neutral impulsive shunting inhibitory cellular neural networks with time varying coefficients and leakage delays. We study the existence and the exponential stability of the piecewise differentiable pseudo almost-periodic solutions and establish sufficient conditions for the existence and exponential stability of such solutions. An example is provided to illustrate the theory developed in this work.
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