New Results on Finite-Time Synchronization Control of Chaotic Memristor-Based Inertial Neural Networks with Time-Varying Delays

Jun Wang, Yongqiang Tian, Lanfeng Hua, Kaibo Shi (), Shouming Zhong and Shiping Wen
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Jun Wang: College of Electrical and Information Engineering, Southwest Minzu University, Chengdu 610041, China
Yongqiang Tian: Huawei Technologies Co., Ltd., Chengdu 611700, China
Lanfeng Hua: School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China
Kaibo Shi: School of Electronic Information and Electrical Engineering, Chengdu University, Chengdu 610106, China
Shouming Zhong: School of Mathematics Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China
Shiping Wen: Faculty of Engineering and Information Technology, Australian AI Institute, University of Technology Sydney, Ultimo, NSW 2007, Australia

Mathematics, 2023, vol. 11, issue 3, 1-18

Abstract: In this work, we are concerned with the finite-time synchronization (FTS) control issue of the drive and response delayed memristor-based inertial neural networks (MINNs). Firstly, a novel finite-time stability lemma is developed, which is different from the existing finite-time stability criteria and extends the previous results. Secondly, by constructing an appropriate Lyapunov function, designing effective delay-dependent feedback controllers and combining the finite-time control theory with a new non-reduced order method (NROD), several novel theoretical criteria to ensure the FTS for the studied MINNs are provided. In addition, the obtained theoretical results are established in a more general framework than the previous works and widen the application scope. Lastly, we illustrate the practicality and validity of the theoretical results via some numerical examples.

Keywords: novel finite-time stability theorems; generalized MINNs; mixed time-varying delays; new non-reduced order method (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 (8)

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