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On Two Problems for Matrix Polytopes

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DOI: 10.4236/am.2014.517253    2,048 Downloads   2,451 Views   Citations

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.

Conflicts of Interest

The authors declare no conflicts of interest.

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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