Stability properties of a class of positive switched systems with rank one difference

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• 作者：Ettore Fornasini ; Maria Elena Valcher
• 关键词：Positive switched systems ; Asymptotic stability ; Stabilizability ; Metzler Hurwitz matrices
• 刊名：Systems and Control Letters
• 出版年：February, 2014
• 年：2014
• 卷：64
• 期：Complete
• 页码：12-19
• 全文大小：399 K

文摘

Given a single-input continuous-time positive system, described by a pair , with a diagonal matrix, we investigate under what conditions there exists a state-feedback law that makes the resulting controlled system positive and asymptotically stable, by this meaning that is Metzler and Hurwitz. In the second part of this note we assume that the state-space model switches among different state-feedback laws () each of them ensuring the positivity, and show that the asymptotic stability of this type of switched system is equivalent to the asymptotic stability of all its subsystems, while its stabilizability is equivalent to the existence of an asymptotically stable subsystem.