Stability and stabilization of periodic piecewise positive systems: A time segmentation approach

Zhu Bohao; Lam James; Song XiaoqiLin HongChan Jason Ying KuenKwok Ka-Wai

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Stability and stabilization of periodic piecewise positive systems: A time segmentation approach

机译：Stability and stabilization of periodic piecewise positive systems: A time segmentation approach

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摘要

This paper is concerned with the stability analysis and stabilization of periodic piecewise positive systems. By constructing a time-scheduled copositive Lyapunov function with a time segmentation approach, an equivalent stability condition, determined via linear programming, for periodic piecewise positive systems is established. Based on the asymptotic stability condition, the spectral radius characterization of the state transition matrix is proposed. The relation between the spectral radius of the state transition matrix and the convergent rate of the system is also revealed. An iterative algorithm is developed to stabilize the system by decreasing the spectral radius of the state transition matrix. Finally, numerical examples are given to illustrate the results.

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《Asian Journal of Control: Affiliated with ACPA, the Asian Control Professors Association》 |2023年第2期|677-694|共18页
作者
Zhu Bohao; Lam James; Song XiaoqiLin HongChan Jason Ying KuenKwok Ka-Wai;
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作者单位

Shenzhen Polytech;

Chinese Univ Hong Kong;

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原文格式 PDF
正文语种英语
中图分类自动控制理论;
关键词
decay rate; periodic piecewise systems; positive systems; stability; stabilization; INFINITY-GAIN ANALYSIS; SWITCHED SYSTEMS; CRITERIA;

Stability and stabilization of periodic piecewise positive systems: A time segmentation approach

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