Existence and Global Exponential Stability of Periodic Solutions for General Neural Networks with Time-Varying Delays | Zendy

Xinsong Yang | Zendy

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Existence and Global Exponential Stability of Periodic Solutions for General Neural Networks with Time-Varying Delays

Author(s) -

Xinsong Yang

Publication year - 2008

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2008/843695

Subject(s) - mathematics , coincidence , exponential stability , bounded function , artificial neural network , stability (learning theory) , degree (music) , exponential function , exponential growth , mathematical analysis , control theory (sociology) , nonlinear system , computer science , medicine , physics , alternative medicine , control (management) , pathology , quantum mechanics , machine learning , artificial intelligence , acoustics

By using the coincidence degree theorem and differential inequality techniques, sufficient conditions are obtained for the existence and global exponential stability of periodic solutions for general neural networks with time-varying (including bounded and unbounded) delays. Some known results are improved and some new results are obtained. An example is employed to illustrate our feasible results

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