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On the Stability with Respect to H-Manifolds for Cohen–Grossberg-Type Bidirectional Associative Memory Neural Networks with Variable Impulsive Perturbations and Time-Varying Delays

Author

Listed:
  • Gani Stamov

    (Department of Mathematics, Technical University of Sofia, 8800 Sliven, Bulgaria
    These authors contributed equally to this work.)

  • Ivanka Stamova

    (Department of Mathematics, University of Texas at San Antonio, San Antonio, TX 78249, USA
    These authors contributed equally to this work.)

  • Stanislav Simeonov

    (Department of Computer Systems and Technologies, Burgas “Prof. Dr. Assen Zlatarov” University, 8010 Burgas, Bulgaria
    These authors contributed equally to this work.)

  • Ivan Torlakov

    (Department of Computer Systems and Technologies, Burgas “Prof. Dr. Assen Zlatarov” University, 8010 Burgas, Bulgaria
    These authors contributed equally to this work.)

Abstract

The present paper is devoted to Bidirectional Associative Memory (BAM) Cohen–Grossberg-type impulsive neural networks with time-varying delays. Instead of impulsive discontinuities at fixed moments of time, we consider variable impulsive perturbations. The stability with respect to manifolds notion is introduced for the neural network model under consideration. By means of the Lyapunov function method sufficient conditions that guarantee the stability properties of solutions are established. Two examples are presented to show the validity of the proposed stability criteria.

Suggested Citation

  • Gani Stamov & Ivanka Stamova & Stanislav Simeonov & Ivan Torlakov, 2020. "On the Stability with Respect to H-Manifolds for Cohen–Grossberg-Type Bidirectional Associative Memory Neural Networks with Variable Impulsive Perturbations and Time-Varying Delays," Mathematics, MDPI, vol. 8(3), pages 1-14, March.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:3:p:335-:d:327815
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    References listed on IDEAS

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