Periodic Solutions for Shunting Inhibitory Cellular Neural Networks of Neutral Type with Time-Varying Delays in the Leakage Term on Time Scales | Zendy

Yongkun Li | Zendy; Lei Wang | Zendy; Yu Fei | Zendy

Open Access

Periodic Solutions for Shunting Inhibitory Cellular Neural Networks of Neutral Type with Time-Varying Delays in the Leakage Term on Time Scales

Author(s) -

Yongkun Li,

Lei Wang,

Yu Fei

Publication year - 2014

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 - 10.1155/2014/496396

Subject(s) - algorithm , artificial neural network , computer science , shunting , term (time) , type (biology) , class (philosophy) , exponential function , stability (learning theory) , mathematics , scale (ratio) , artificial intelligence , mathematical analysis , machine learning , physics , quantum mechanics , biology , medicine , ecology

A class of shunting inhibitory cellular neural networks of neutral type with time-varying delays in the leakage term on time scales is proposed. Based on the exponential dichotomy of linear dynamic equations on time scales, fixed point theorems, and calculus on time scales we obtain some sufficient conditions for the existence and global exponential stability of periodic solutions for that class of neural networks. The results of this paper are completely new and complementary to the previously known results even if the time scale =ℝ or ℤ. Moreover, we present illustrative numerical examples to show the feasibility of our results

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