New Results on Finite-Time Synchronization of Complex-Valued BAM Neural Networks with Time Delays by the Quadratic Analysis Approach

Zhen Yang and Zhengqiu Zhang ()
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Zhen Yang: School of Science, Hubei University of Technology, Wuhan 430068, China
Zhengqiu Zhang: School of Mathematics, Hunan University, Changsha 410082, China

Mathematics, 2023, vol. 11, issue 6, 1-21

Abstract: In this paper, we are interested in the finite-time synchronization of complex-valued BAM neural networks with time delays. Without applying Lyapunov–Krasovskii functional theory, finite-time convergence theorem, graph-theoretic method, the theory of complex functions or the integral inequality method, by using the quadratic analysis approach, inequality techniques and designing two classes of novel controllers, two novel sufficient conditions are achieved to guarantee finite-time synchronization between the master system and the slave system. The quadratic analysis method used in our paper is a different study approach of finite-time synchronization from those in existing papers. Therefore the controllers designed in our paper are fully novel.

Keywords: complex-valued BAM neural networks with time delays; finite-time synchronization; quadratic analysis approach; inequality techniques; novel controllers (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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