Song X, Xin X, Huang W. Exponential stability of delayed and impulsive cellular neural networks with partially Lipschitz continuous activation functions.
Neural Netw 2012;
29-30:80-90. [PMID:
22425550 DOI:
10.1016/j.neunet.2012.01.006]
[Citation(s) in RCA: 33] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/09/2010] [Revised: 01/10/2012] [Accepted: 01/27/2012] [Indexed: 11/17/2022]
Abstract
The paper discusses exponential stability of distributed delayed and impulsive cellular neural networks with partially Lipschitz continuous activation functions. By relative nonlinear measure method, some novel criteria are obtained for the uniqueness and exponential stability of the equilibrium point. Our method abandons usual assumptions on global Lipschitz continuity, boundedness and monotonicity of activation functions. Our results are generalization and improvement of some existing ones. Finally, two examples and their simulations are presented to illustrate the correctness of our analysis.
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