4.7 Article

On improved passivity criteria of uncertain neural networks with time-varying delays

Journal

NONLINEAR DYNAMICS
Volume 67, Issue 2, Pages 1261-1271

Publisher

SPRINGER
DOI: 10.1007/s11071-011-0067-6

Keywords

Neural networks; Time-varying delays; Passivity; LMI; Lyapunov method

Funding

  1. National Research Foundation of Korea (NRF)
  2. Ministry of Education, Science and Technology [2011-0009273, 2010-0009373]

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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 LMIs (linear matrix inequalities) which can be easily solved by various convex optimization algorithms. Two numerical examples are included to show the superiority of our results.

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