On Two Problems for Matrix Polytopes  

作　　者：Serife Yilmaz Taner Büyükkoroglu 

机构地区：[1]Department of Mathematics,Faculty of Science,Anadolu University,Eskisehir,Turkey

出　　处：《Applied Mathematics》2014年第17期2650-2656,共7页应用数学（英文）

摘　　要：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.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.

关 键 词：Stable Matrix Matrix Family Common Quadratic Lyapunov Functions Switched System Gradient Method 

分 类 号：O1[理学—数学]