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On Two Problems for Matrix Polytopes

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

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