4.6 Article

New Exponential Stability Criteria for Neural Networks With Time-Varying Delay

Journal

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCSII.2011.2172523

Keywords

Exponential stability; linear matrix inequalities (LMIs); Lyapunov method; time-delay neural network

Funding

  1. State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications [SKLNST-2011-1-01]
  2. Science Fund for Distinguished Young Scholars of Hebei Province [F2011203110]
  3. University of China [NCET-08-0658]
  4. National Natural Science Foundation of China [60974018, 60934003]

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This brief is concerned with the global exponential stability analysis problem for neural networks with time-varying delay. We construct an augmented Lyapunov-Krasovskii functional by using the decompositions of the time delays. In order to deal with the integral terms, the different integral intervals with the same interval length are unified. As a result, no extra inequalities are involved. The novel delay-dependent exponential stability criterion is proposed. Numerical examples are given to demonstrate the effectiveness of the obtained results.

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