Piecewise-Linear Lyapunov Functions and Localization of Spectra of Stable Matrices

  • Authors:

  • O. N. Bobyleva;E. S. Pyatnitskii

  • Affiliations:

  • Peoples' Friendship University, Moscow, Russia;Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

  • Venue:
  • Automation and Remote Control
  • Year:
  • 2001

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Abstract

A relationship between the number of generators of a piecewise-linear Lyapunov function of an asymptotically stable linear stationary system and the characteristics of the domain containing the spectrum of the matrix of the system is established.