On the Construction of the Graph of Discrete States of a Switched Affine System

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Abstract

The problem of constructing the graph of states of a switched affine system closed by a static state feedback is considered. To solve this problem, a constructive algorithm based on the study of the consistency of systems of linear algebraic inequalities is proposed.

About the authors

A. S. Fursov

Department of Mathematics, School of Science, Hangzhou Dianzi University, Hangzhou, Zhejiang, 310005, China; Lomonosov Moscow State University, Moscow, 119991, Russia; Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, 127051, Russia

Email: fursov@cs.msu.ru
Ханчжоу, Китай; Москва, Россия

P. A. Krylov

Lomonosov Moscow State University, Moscow, 119991, Russia

Author for correspondence.
Email: pavel@leftsystem.ru
Москва, Россия

References

  1. Фурсов А.С., Крылов П.А. Об устойчивости переключаемой аффинной системы для некоторого класса переключающих сигналов // Дифференц. уравнения. 2023. Т. 59. № 4. С. 554-562.
  2. Черников С.Н. Линейные неравенства. М., 1968.
  3. Филиппов А.Ф. Дифференциальные уравнения с разрывной правой частью. М., 1985.

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