Piecewise-linear Lyapunov functions for linear stationary systems

A study of piecewise-linear Lyapunov functions for linear stationary systems, described by the vector differential equation, was presented. The study involved the derivation of upper estimate of the maximal number of generators of a piecewise-linear function. In regard to it, the characteristics for an asymptotically stable linear systems were also discussed.

Authors
Bobyleva O.N. 1
Journal
Automation and Remote Control
Publisher
Maik Nauka Publishing / Springer SBM
Number of issue
4
Language
English
Pages
540-549
Status
Published
Link
External link
DOI
10.1023/A:1015165828775
Volume
63
Year
2002
Organizations
  • 1 Peoples Friendship University, Moscow, Russian Federation
Keywords
Asymptotic stability; Constraint theory; Differential equations; Eigenvalues and eigenfunctions; Lyapunov methods; Matrix algebra; Piecewise linear techniques; System stability; Theorem proving; Vectors; Linear functions; Number generators; Linear control systems
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/229/
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