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Long-time behavior of transient solutions for cellular neural network systems

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Abstract

By establishing concept on transient solutions of general nonlinear systems converging to its equilibrium set, long-time behavior of solutions for cellular neural network systems is studied. A stability condition in generalized sense is obtained. This result reported has an important guide to concrete neural network designs.

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Authors and Affiliations

  1. Institute of Information and Systems Sciences School of Sciences, Xi'an Jiaotong University, 710049, Xi'an, P R China

    Jiang Yaolin Professor, Doctor, Ph.D. (Student's Supervisor in China)

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  1. Jiang Yaolin Professor, Doctor, Ph.D.
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Additional information

Communicated by Dai Shiqiang

Foundation item: the National Natural Science Foundation of China (19801027); the Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry

Biography: Jiang Yaolin (1966≈)

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Yaolin, J. Long-time behavior of transient solutions for cellular neural network systems. Appl Math Mech 21, 321–326 (2000). https://doi.org/10.1007/BF02459010

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  • DOI: https://doi.org/10.1007/BF02459010

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