{"title":"Practical Exponential Stability of Positive Switched Linear System and Its Application in Practical Consensus of Multi-agent System","authors":"Yanhao Ju, Fanwei Meng, Yuangong Sun","doi":"10.1007/s00034-024-02771-6","DOIUrl":null,"url":null,"abstract":"<p>In this technical note, we investigate the practical exponential stability of a positive switched linear system with impulses and all subsystems unstable. By constructing two types of switched discretized Lyapunov functions, we give some new sufficient conditions such that the system achieves practical exponential stability under mode-dependent range dwell time switching. Following this, we apply these results to the practical consensus of multi-agent system under switching topologies. The mathematical analysis is validated by a set of numerical examples.\n</p>","PeriodicalId":10227,"journal":{"name":"Circuits, Systems and Signal Processing","volume":"2 1","pages":""},"PeriodicalIF":1.8000,"publicationDate":"2024-08-23","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/s00034-024-02771-6","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}
引用次数: 0
Abstract
In this technical note, we investigate the practical exponential stability of a positive switched linear system with impulses and all subsystems unstable. By constructing two types of switched discretized Lyapunov functions, we give some new sufficient conditions such that the system achieves practical exponential stability under mode-dependent range dwell time switching. Following this, we apply these results to the practical consensus of multi-agent system under switching topologies. The mathematical analysis is validated by a set of numerical examples.
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.
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