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Zbl 1243.93028
Kwon, O.M.; Lee, S.M.; Park, J.H.
On improved passivity criteria of uncertain neural networks with time-varying delays. (English)
[J] Nonlinear Dyn. 67, No. 2, 1261-1271 (2012). ISSN 0924-090X; ISSN 1573-269X/e

Summary: In this paper, the problem of passivity analysis for uncertain neural networks with time-varying delays is considered. By constructing an augmented Lyapunov-Krasovskii's functional and some novel analysis techniques, improved delay-dependent criteria for checking the 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. Two numerical examples are included to show the superiority of our results.

MSC 2000:: *93B35 Sensitivity (robustness) of control systems
93C41 Control problems with incomplete information
92B20 General theory of neural networks

Keywords: neural networks; time-varying delays; passivity; linear matrix inequalities (LMIs); Lyapunov method

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