Delay-dependent H∞ state estimation of neural networks with mixed time-varying delays

  • Authors:
  • S. Lakshmanan;K. Mathiyalagan;Ju H. Park;R. Sakthivel;Fathalla A. Rihan

  • Affiliations:
  • -;-;-;-;-

  • Venue:
  • Neurocomputing
  • Year:
  • 2014

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Abstract

In this paper, the delay-dependent H"~ state estimation of neural networks with a mixed time-varying delay is considered. By constructing a suitable Lyapunov-Krasovskii functional with triple integral terms and using Jensen inequality and linear matrix inequality (LMI) framework, the delay-dependent criteria are presented so that the error system is globally asymptotically stable with H"~ performance. The activation functions are assumed to satisfy sector-like nonlinearities. The estimator gain matrix for delayed neural networks can be achieved by solving LMIs, which can be easily facilitated by using some standard numerical packages. Finally a numerical example with simulation is presented to demonstrate the usefulness and effectiveness of the obtained results.