Synchronization on the non-autonomous cellular neural networks with time delays

IF 1.1 Q1 MATHEMATICS

Journal of Nonlinear Functional Analysis Pub Date : 2020-01-01 DOI:10.23952/jnfa.2020.51

Azhar Halik, Aishan Wumaier

引用次数: 0

Abstract

. This paper is concerned with a general decay synchronization (GDS) between two delayed non-autonomous cellular neural networks. A non-autonomous case and inﬁnite delays are taken into consideration. By using the Lyapunov stability theory and employing useful inequality techniques, some sufﬁcient conditions on the GDS of the considered system are established based on a type of nonlinear control. In addition, an example with numerical simulations is provided to demonstrate the effectiveness and feasibility of the obtained results.

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具有时滞的非自治细胞神经网络的同步

．研究了两个延迟非自治细胞神经网络之间的一般衰减同步(GDS)问题。考虑了一种具有无限延迟的非自治情况。利用李雅普诺夫稳定性理论和有用的不等式技术，建立了一类非线性控制下被考虑系统GDS的几个充分条件。最后，通过数值模拟算例验证了所得结果的有效性和可行性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Nonlinear Functional Analysis Multiple-

CiteScore

2.40

自引率

0.00%

发文量

期刊介绍： Journal of Nonlinear Functional Analysis focuses on important developments in nonlinear functional analysis and its applications with a particular emphasis on topics include, but are not limited to: Approximation theory; Asymptotic behavior; Banach space geometric constant and its applications; Complementarity problems; Control theory; Dynamic systems; Fixed point theory and methods of computing fixed points; Fluid dynamics; Functional differential equations; Iteration theory, iterative and composite equations; Mathematical biology and ecology; Miscellaneous applications of nonlinear analysis; Multilinear algebra and tensor computation; Nonlinear eigenvalue problems and nonlinear spectral theory; Nonsmooth analysis, variational analysis, convex analysis and their applications; Numerical analysis; Optimal control; Optimization theory; Ordinary differential equations; Partial differential equations; Positive operator inequality and its applications in operator equation spectrum theory and so forth; Semidefinite programming polynomial optimization; Variational and other types of inequalities involving nonlinear mappings; Variational inequalities.