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Automation and Remote Control

, Volume 62, Issue 9, pp 1417–1427 | Cite as

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

  • O. N. Bobyleva
  • E. S. Pyatnitskii
Article

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.

Keywords

Mechanical Engineer System Theory Stationary System Lyapunov Function Stable Matrice 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© MAIK “Nauka/Interperiodica” 2001

Authors and Affiliations

  • O. N. Bobyleva
    • 1
  • E. S. Pyatnitskii
    • 2
  1. 1.Peoples' Friendship UniversityMoscowRussia
  2. 2.Trapeznikov Institute of Control SciencesRussian Academy of SciencesMoscowRussia

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