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.

Авторы
Редакторы
-
Издательство
Maik Nauka Publishing / Springer SBM
Номер выпуска
4
Язык
Английский
Страницы
540-549
Статус
Опубликовано
Подразделение
-
Номер
-
Том
63
Год
2002
Организации
  • 1 Peoples Friendship University, Moscow, Russian Federation
Ключевые слова
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
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/229/