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Polyak, B.T. and Shcherbakov, P.S. (1999) Numerical Search of Stable or Unstable Element in Matrix or Polynomial Families: A Unified Approach to Robustness Analysis and Stabilization. Robustness in Identification and Control Lecture Notes in Control and Information Sciences, 245, 344-358.
http://dx.doi.org/10.1007/bfb0109879

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.