Asymptotical stability of multi-delayed cellular neural networks with impulsive effects

Dong Li, Dan Yang, Hui Wang, Xiaohong Zhang and Shilong Wang

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 2, 218-224

Abstract: In this work, the stability issues of the equilibrium points of multi-delayed cellular neural networks with impulsive effects are investigated. Based on the method of linear matrix inequality (LMI) and parameterized first-order model transformation, several new delay-dependent and delay-independent asymptotical stability conditions are derived by the stability theory of Lyapunov–Krasovskii. A numerical example is given to illustrate the effectiveness of our results.

Keywords: Cellular neural networks; Multi-delays; Stability; Linear matrix inequality; Lyapunov–Krasovskii functional; Parameterized first-order model transformation (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:2:p:218-224

DOI: 10.1016/j.physa.2008.09.025

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