Piecewise-linear Lyapunov functions for linear time invariant systems

The piecewise-linear Lyapunov functions for linear time stationary systems are studied. The characteristic of an asymptotically stable linear system is introduced that is defined as the minimum number of generatrices of a piecewise-linear Lyapunov function. The from-above estimations of this characteristics are given.

Authors
Bobyleva O.N. 1
Journal
Avtomatika i Telemekhanika
Number of issue
4
Language
Russian
Pages
26-35
Status
Published
Link
External link
Year
2002
Organizations
  • 1 Rossijskij Univ. Druzhby Narodov, Moscow, Russian Federation
Keywords
Differential equations; Linear control systems; Lyapunov methods; System stability; Vectors; Asymptotically stable systems; Control theory
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/239/
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