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.

Авторы
Номер выпуска
4
Язык
Русский
Страницы
26-35
Статус
Опубликовано
Год
2002
Организации
  • 1 Rossijskij Univ. Druzhby Narodov, Moscow, Russian Federation
Ключевые слова
Differential equations; Linear control systems; Lyapunov methods; System stability; Vectors; Asymptotically stable systems; Control theory
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/239/