Author(s)

Şerife Yılmaz, Taner Büyükköroğlu

Department of Mathematics, Faculty of Science, Anadolu University, Eskisehir, Turkey.

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.

Stable Matrix, Matrix Family, Common Quadratic Lyapunov Functions, Switched System, Gradient Method

Yılmaz, Ş. and Büyükköroğlu, T. (2014) On Two Problems for Matrix Polytopes. Applied Mathematics, 5, 2650-2656. doi: 10.4236/am.2014.517253.