Open AccessSTABILITY OF ZERO SOLUTION OF SYSTEM WITH SWITCHES CONSISTING OF LINEAR SUBSYSTEMS
Author(s) -
D. Ya. Khusainov,
Oleksii Bychkov,
Andrii S Sirenko
Publication year - 2020
Publication title -
žurnal občislûvalʹnoï ta prikladnoï matematiki
Language(s) - English
Resource type - Journals
eISSN - 2706-9699
pISSN - 2706-9680
DOI - 10.17721/2706-9699.2020.1.07
Subject(s) - zero (linguistics) , exponential stability , mathematics , lyapunov function , stability (learning theory) , control theory (sociology) , differential (mechanical device) , function (biology) , linear system , quadratic equation , mathematical analysis , computer science , nonlinear system , physics , control (management) , thermodynamics , philosophy , linguistics , geometry , quantum mechanics , machine learning , artificial intelligence , evolutionary biology , biology
In this paper, discusses the study of the stability of solutions of dynamic systems with switching. Sufficient conditions are obtained for the asymptotic stability of the zero solution of switching systems consisting of linear differential and difference subsystems. It is proved that the existence of a common quadratic Lyapunov function is sufficient for asymptotic stability.