Volume 7, Issue 2 (Journal of Control, V.7, N.2 Summer 2013)
JoC 2013, 7(2): 11-20 |
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Sokhanvar Mahani K, Karimpour A, Pariz N. Stabilization of Switched Homogeneous Systems using Common Lyapunov Function. JoC 2013; 7 (2) :11-20
URL: http://joc.kntu.ac.ir/article-1-109-en.html
URL: http://joc.kntu.ac.ir/article-1-109-en.html
Abstract: (10617 Views)
In this paper, a new method is introduced to study the stabilization and design of stabilizing switching law for switched homogeneous systems as a class of switched nonlinear systems. The considered switched system has a number of homogeneous subsystems with desired degree and similar dilation coefficients. In this method, there is not any limitation about system dimension, homogeneous degree and dilation coefficients. The proposed method is based on existence of homogeneous common Lyapunov function for subsystems and using that, the stabilizing switching law is specified. In this method, a combined system of subsystems is introduced and in a theorem it is shown that the stability of combined system results in the stability of switched system with defined switching law. Thus the Lyapunov function of combined system is introduced as common Lyapunov function for switched system
Keywords: stability, common Lyapunov function, switched nonlinear system, homogeneous system, stabilizing switching law
Type of Article: Research paper |
Subject:
Special
Received: 2014/06/20 | Accepted: 2014/06/20 | Published: 2014/06/20
Received: 2014/06/20 | Accepted: 2014/06/20 | Published: 2014/06/20
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