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Zbl 1186.34101
Rakkiyappan, R.; Balasubramaniam, P.; Cao, Jinde
Global exponential stability results for neutral-type impulsive neural networks. (English)
[J] Nonlinear Anal., Real World Appl. 11, No. 1, 122-130 (2010). ISSN 1468-1218

Summary: By using a Lyapunov-Krasovkii functional and combining it with the linear matrix inequality (LMI) approach, we analyze the global exponential stability of neutral-type impulsive neural networks. In addition, an example is provided to illustrate the applicability of the result using LMI control toolbox in MATLAB.

MSC 2000:: *34K20 Stability theory of functional-differential equations
92B20 General theory of neural networks
34K20 Stability theory of functional-differential equations
34K45 Equations with impulses

Keywords: Lyapunov-Krasovskii functional; linear matrix inequality; global exponential stability; impulsive neural networks; neutral-type; generalized eigenvalue problem (GEVP)

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