ARCHITECTURE AND STABILITY OF THE SECOND–ORDER CELLULAR NEURAL NETWORKS

Nguyen Quang Hoan; Nguyen Tai Tuyen; Duong Duc Anh

Nguyen Quang Hoan Hung Yen University of Technology and Education
Nguyen Tai Tuyen Institute of Post Telecom – Information Technology
Duong Duc Anh Vietnam Research Institute of Electronics, Informatics and Automation

Keywords: Second-Order Cellular Neural Networks, Lyapunov function, stability

Abstract

In this paper, we study and propose i) Second-order Cellular Neural Networks (SOCNN) architecture based on standard CNN proposed by Leon. O. Chua with the 2nd-order polynomial inputs and bounded parameter assumptions. ii) The conditions for the existence and stability of the solutions of CNN are presented by choosing appropriate Lyapunov function. iii) Simulation and computing results by the simple example are perfomed on the Matlab (2014) Simulink.

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