RESEARCH ARTICLE
Exponential Extended Dissipative Synchronization of Memristive Quaternion Neural Networks With Multiple Time-Varying Leakage Delays
Xiao-Chao Fang,
Jinbao Lan,
Xian Zhang,
Xiao-Chao Fang
School of Information Engineering, Harbin University, Harbin, China
Contribution: Conceptualization, Writing - review & editing, Writing - original draft, Investigation, Software, Visualization
Search for more papers by this authorCorresponding Author
Jinbao Lan
School of Mathematical Science, Heilongjiang University, Harbin, China
Heilongjiang Provincial Key Laboratory of the Theory and Computation of Complex Systems, Heilongjiang University, Harbin, China
Correspondence:
Xian Zhang ([email protected])
Jinbao Lan ([email protected])
Contribution: Writing - review & editing, Software, Investigation, Formal analysis, Methodology
Search for more papers by this authorCorresponding Author
Xian Zhang
School of Mathematical Science, Heilongjiang University, Harbin, China
Heilongjiang Provincial Key Laboratory of the Theory and Computation of Complex Systems, Heilongjiang University, Harbin, China
Correspondence:
Xian Zhang ([email protected])
Jinbao Lan ([email protected])
Contribution: Writing - original draft, Writing - review & editing, Methodology, Funding acquisition, Supervision
Search for more papers by this authorXiao-Chao Fang,
Jinbao Lan,
Xian Zhang,
Xiao-Chao Fang
School of Information Engineering, Harbin University, Harbin, China
Contribution: Conceptualization, Writing - review & editing, Writing - original draft, Investigation, Software, Visualization
Search for more papers by this authorCorresponding Author
Jinbao Lan
School of Mathematical Science, Heilongjiang University, Harbin, China
Heilongjiang Provincial Key Laboratory of the Theory and Computation of Complex Systems, Heilongjiang University, Harbin, China
Correspondence:
Xian Zhang ([email protected])
Jinbao Lan ([email protected])
Contribution: Writing - review & editing, Software, Investigation, Formal analysis, Methodology
Search for more papers by this authorCorresponding Author
Xian Zhang
School of Mathematical Science, Heilongjiang University, Harbin, China
Heilongjiang Provincial Key Laboratory of the Theory and Computation of Complex Systems, Heilongjiang University, Harbin, China
Correspondence:
Xian Zhang ([email protected])
Jinbao Lan ([email protected])
Contribution: Writing - original draft, Writing - review & editing, Methodology, Funding acquisition, Supervision
Search for more papers by this authorFirst published: 06 May 2025
Funding: This work was partially supported by the National Natural Science Foundation of China (grant no. 62473131).
ABSTRACT
This paper studies the exponential extended dissipative synchronization control problem of memristive quaternion neural networks (MQNNs). The types of delays involve time-varying leakage and distributed and transmission delays. First, an inequality related to solutions of the error system is established. Then, a novel and easy-to-implement controller is constructed to obtain an exponential extended dissipative synchronization criterion. Furthermore, an algorithm is put forward to solve nonlinear terms in the obtained criterion. Finally, the effectivity of the derived results is tested by two numerical examples. It is worth emphasizing that the exponential extended dissipative synchronization control problem for MQNNs under consideration is proceeded for the first time. In addition, the method proposed in this paper, with some minor modifications, may solve some practical problems in the analysis and design of MQNNs, especially for applications in areas such as secure communications, image encryption, or artificial intelligence systems.
Conflicts of Interest
The authors declare no conflicts of interest.
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