Stability of switched positive linear systems with average dwell time switching
Stability of switched positive linear systems with average dwell time switching
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DOI：
10.1016/j.automatica.2012.03.008
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发表时间：
2012-06-01
期刊：
影响因子：
6.4
通讯作者：
Liu, Ming
中科院分区：
文献类型：
--
作者：
Zhao, Xudong;Zhang, Lixian;Liu, Ming
研究了一类具有平均停留时间切换的切换正线性系统的稳定性分析问题。首先引入了多重线性共正李雅普诺夫函数（MLCLF），利用该函数给出了连续时间和离散时间情形下系统稳定性的充分判据.任意切换下的SPLS，这在文献中已经研究过，可以很容易地得到的稳定性结果，通过减少MLCLF的共同的线性共正的李雅普诺夫函数用于系统在任意切换这些系统。最后，通过一个数值例子说明了所提方法的有效性和优越性. (C)2012爱思唯尔有限公司保留所有权利。
In this paper, the stability analysis problem for a class of switched positive linear systems (SPLSs) with average dwell time switching is investigated. A multiple linear copositive Lyapunov function (MLCLF) is first introduced, by which the sufficient stability criteria in terms of a set of linear matrix inequalities, are given for the underlying systems in both continuous-time and discrete-time contexts. The stability results for the SPLSs under arbitrary switching, which have been previously studied in the literature, can be easily obtained by reducing MLCLF to the common linear copositive Lyapunov function used for the system under arbitrary switching those systems. Finally, a numerical example is given to show the effectiveness and advantages of the proposed techniques. (C) 2012 Elsevier Ltd. All rights reserved.