Existence and Global Uniform Asymptotic Stability of Almost Periodic Solutions for Cellular Neural Networks with Discrete and Distributed Delays | Zendy

Zongyi Hou | Zendy; Hongying Zhu | Zendy; Chunhua Feng | Zendy

Open Access

Existence and Global Uniform Asymptotic Stability of Almost Periodic Solutions for Cellular Neural Networks with Discrete and Distributed Delays

Author(s) -

Zongyi Hou,

Hongying Zhu,

Chunhua Feng

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/516293

Subject(s) - exponential stability , mathematics , cellular neural network , stability (learning theory) , artificial neural network , lyapunov function , stability theory , control theory (sociology) , mathematical analysis , computer science , nonlinear system , physics , control (management) , quantum mechanics , machine learning , artificial intelligence

This paper discusses the existence and global uniform asymptotic stability of almost periodic solutions for cellular neural networks (CNNS). By utilizing the theory of the almost periodic differential equation and the Lyapunov functionalsmethod, some sufficient conditions are obtained to ensure the existence and globaluniform asymptotic stability. An example is given to illustrate the effectiveness ofthe main results

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