New results on global exponential dissipativity analysis of memristive inertial neural networks with distributed time-varying delays.

Zhang, Guodong; Zeng, Zhigang; Hu, Junhao · Neural Netw · 2018

basic_science · Level V

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Abstract

This paper is concerned with the global exponential dissipativity of memristive inertial neural networks with discrete and distributed time-varying delays. By constructing appropriate Lyapunov-Krasovskii functionals, some new sufficient conditions ensuring global exponential dissipativity of memristive inertial neural networks are derived. Moreover, the globally exponential attractive sets and positive invariant sets are also presented here. In addition, the new proposed results here complement and extend the earlier publications on conventional or memristive neural network dynamical systems. Finally, numerical simulations are given to illustrate the effectiveness of obtained results.

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