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

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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.

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Authors and Affiliations

  1. Peoples' Friendship University, Moscow, Russia

    O. N. Bobyleva

  2. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

    E. S. Pyatnitskii

Authors
  1. O. N. Bobyleva
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  2. E. S. Pyatnitskii
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Bobyleva, O.N., Pyatnitskii, E.S. Piecewise-Linear Lyapunov Functions and Localization of Spectra of Stable Matrices. Automation and Remote Control 62, 1417–1427 (2001). https://doi.org/10.1023/A:1011639524570

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