Piecewise linear Lyapunov functions and the localization of spectrum of stable matrices

The relationship is found between the functions number of a piecewise linear Lyapunov function of an asymptotically stable linear stationary system with the characteristics of a region containing system matrix spectrum. The linear stationary system is described by a vector equation. The positively defined quadratic form is chosen as a Lyapunov function.

Authors
Bobyleva O.N. 1 , Pyatnitskij E.S.1
Number of issue
9
Language
Russian
Pages
25-36
Status
Published
Year
2001
Organizations
  • 1 Univ. Druzhby Narodov, Moscow, Russian Federation
Keywords
Functions; Lyapunov methods; Matrix algebra; System stability; Stable matrices spectrum localization; Control theory
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