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King, C. and Shorten, R. (2004) A Singularity Test for the Existence of Common Quadratic Lyapunov Functions for Pairs of Stable LTI Systems. Proceedings of the American Control Conference, Boston, 30 June-2 July 2004, 3881-3884.

has been cited by the following article:

• TITLE: On Two Problems for Matrix Polytopes

  AUTHORS: Şerife Yılmaz, Taner Büyükköroğlu

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

  JOURNAL NAME: Applied Mathematics, Vol.5 No.17, October 9, 2014

  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.