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Zbl 1225.93096
Kwon, O.M.; Park, Ju H.; Lee, S.M.; Cha, E.J.
A new augmented Lyapunov-Krasovskii functional approach to exponential passivity for neural networks with time-varying delays. (English)
[J] Appl. Math. Comput. 217, No. 24, 10231-10238 (2011). ISSN 0096-3003

Summary: The problem of exponential passivity analysis for uncertain neural networks with time-varying delays is considered. By constructing new augmented Lyapunov-Krasovskii's functionals and some novel analysis techniques, improved delay-dependent criteria for checking the exponential passivity of the neural networks are established. The proposed criteria are represented in terms of Linear Matrix Inequalities (LMIs) which can be easily solved by various convex optimization algorithms. A numerical example is included to show the superiority of our results.

MSC 2000:: *93D25 Input-output approaches to stability of control systems
92B20 General theory of neural networks
34H05 ODE in connection with control problems

Keywords: neural networks; time-varying delays; exponential passivity; LMI; Lyapunov method

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