Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=50346#.VDskCVfHRK1 Author(s) Şerife Yılmaz , Taner Büyükköroğlu Affiliation(s) Department of Mathematics, Faculty of Science, Anadolu University, Eskisehir, Turkey . ABSTRACT We consider two problems from stability theory of matrix polytopes: the existence of common quadratic Lyapunov functions and the existence of a stable member. We show the applicability of the gradient algorithm and give a new sufficient condition for the second problem. A number of examples are considered. KEYWORDS Stable Matrix , Matrix Family , Common Quadratic Lyapunov Functions , Switched System , Gradient...
Scientific Research Publishing