Practical Exponential Stability of Positive Switched Linear System and Its Application in Practical Consensus of Multi-agent System

IF 1.8 3区工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC

Circuits, Systems and Signal Processing Pub Date : 2024-08-23 DOI:10.1007/s00034-024-02771-6

Yanhao Ju, Fanwei Meng, Yuangong Sun

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.

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正开关线性系统的实用指数稳定性及其在多代理系统实用共识中的应用

在本技术论文中，我们研究了具有脉冲且所有子系统都不稳定的正向开关线性系统的实际指数稳定性。通过构建两类开关离散化 Lyapunov 函数，我们给出了一些新的充分条件，从而使系统在与模式相关的范围停留时间开关下达到实用指数稳定性。随后，我们将这些结果应用于切换拓扑下多代理系统的实际共识。数学分析通过一组数值实例得到了验证。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Circuits, Systems and Signal Processing 工程技术-工程：电子与电气

CiteScore

4.80

自引率

13.00%

发文量

321

审稿时长

4.6 months

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.