Article citationsMore>>

Narendra, K.S. and Balakrishnan, J. (1994) A Common Lyapunov Function for Stable LTI Systems with Commuting A-Matrices. IEEE Transactions on Automatic Control, 39, 2469-2471.
http://dx.doi.org/10.1109/9.362846

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.