Polynomial stability of positive switched homogeneous systems with time delay

被引：1
|
作者：
Zhang, Jie [1 ]
Sun, Yuangong [1 ]
机构：
[1] Univ Jinan, Sch Math Sci, Jinan 250022, Shandong, Peoples R China
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2023年 / 47卷
基金：
中国国家自然科学基金;
关键词：
Positive switched homogeneous system; Polynomial stability; Logarithm contraction average dwell-time; Time delay; COPOSITIVE LYAPUNOV FUNCTIONS; EXPONENTIAL STABILITY; LINEAR-SYSTEMS; DISCRETE; L-1-GAIN;
D O I：
10.1016/j.nahs.2022.101306
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Based on the logarithm contraction average dwell-time method, this paper investigates the polynomial stability of positive switched homogeneous time-delay systems whose vector fields are of different degrees with respect to a dilation map. Using the analytical skills developed in positive systems, an explicit polynomial stability criterion is estab-lished for the first time for the involved system under the logarithm contraction average dwell-time switching. Moreover, the main result is applied to the polynomial stability of Persidskii-type switched systems.(c) 2022 Published by Elsevier Ltd.
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页数：11
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