Xuan Wang, Dongbing Tong, Qiaoyu Chen, Wuneng Zhou
{"title":"具有非连续激活函数的互联记忆神经网络的固定时间同步和能耗预测","authors":"Xuan Wang, Dongbing Tong, Qiaoyu Chen, Wuneng Zhou","doi":"10.1007/s00034-024-02806-y","DOIUrl":null,"url":null,"abstract":"<p>In this paper, the fixed-time synchronization (FXTS) and energy consumption prediction of interconnected memristive neural networks (IMNNs) with discontinuous activation functions are studied. First of all, to deal with discontinuous activation functions, a unified discontinuous controller, which can be applied to other networks, is designed to effectuate FXTS. Based on Lyapunov stability theory, some sufficient conditions for the synchronization of IMNNs are given, and the settling-time is estimated. Meanwhile, to accurately evaluate engineering costs, the energy consumption of the system control process is obtained, and the influence of specific controller parameters on energy consumption is analyzed. Finally, a numerical simulation is presented to verify the correctness of the results.</p>","PeriodicalId":10227,"journal":{"name":"Circuits, Systems and Signal Processing","volume":"68 1","pages":""},"PeriodicalIF":1.8000,"publicationDate":"2024-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Fixed-Time Synchronization and Energy Consumption Prediction of Interconnected Memristive Neural Networks with Discontinuous Activation Functions\",\"authors\":\"Xuan Wang, Dongbing Tong, Qiaoyu Chen, Wuneng Zhou\",\"doi\":\"10.1007/s00034-024-02806-y\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>In this paper, the fixed-time synchronization (FXTS) and energy consumption prediction of interconnected memristive neural networks (IMNNs) with discontinuous activation functions are studied. First of all, to deal with discontinuous activation functions, a unified discontinuous controller, which can be applied to other networks, is designed to effectuate FXTS. Based on Lyapunov stability theory, some sufficient conditions for the synchronization of IMNNs are given, and the settling-time is estimated. Meanwhile, to accurately evaluate engineering costs, the energy consumption of the system control process is obtained, and the influence of specific controller parameters on energy consumption is analyzed. Finally, a numerical simulation is presented to verify the correctness of the results.</p>\",\"PeriodicalId\":10227,\"journal\":{\"name\":\"Circuits, Systems and Signal Processing\",\"volume\":\"68 1\",\"pages\":\"\"},\"PeriodicalIF\":1.8000,\"publicationDate\":\"2024-08-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Circuits, Systems and Signal Processing\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.1007/s00034-024-02806-y\",\"RegionNum\":3,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"ENGINEERING, ELECTRICAL & ELECTRONIC\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Circuits, Systems and Signal Processing","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1007/s00034-024-02806-y","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
Fixed-Time Synchronization and Energy Consumption Prediction of Interconnected Memristive Neural Networks with Discontinuous Activation Functions
In this paper, the fixed-time synchronization (FXTS) and energy consumption prediction of interconnected memristive neural networks (IMNNs) with discontinuous activation functions are studied. First of all, to deal with discontinuous activation functions, a unified discontinuous controller, which can be applied to other networks, is designed to effectuate FXTS. Based on Lyapunov stability theory, some sufficient conditions for the synchronization of IMNNs are given, and the settling-time is estimated. Meanwhile, to accurately evaluate engineering costs, the energy consumption of the system control process is obtained, and the influence of specific controller parameters on energy consumption is analyzed. Finally, a numerical simulation is presented to verify the correctness of the results.
期刊介绍：
Rapid developments in the analog and digital processing of signals for communication, control, and computer systems have made the theory of electrical circuits and signal processing a burgeoning area of research and design. The aim of Circuits, Systems, and Signal Processing (CSSP) is to help meet the needs of outlets for significant research papers and state-of-the-art review articles in the area.
The scope of the journal is broad, ranging from mathematical foundations to practical engineering design. It encompasses, but is not limited to, such topics as linear and nonlinear networks, distributed circuits and systems, multi-dimensional signals and systems, analog filters and signal processing, digital filters and signal processing, statistical signal processing, multimedia, computer aided design, graph theory, neural systems, communication circuits and systems, and VLSI signal processing.
The Editorial Board is international, and papers are welcome from throughout the world. The journal is devoted primarily to research papers, but survey, expository, and tutorial papers are also published.
Circuits, Systems, and Signal Processing (CSSP) is published twelve times annually.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
