On Some Properties of Solutions of Switched Differential Equations

被引：0
作者：
Ignatyev, A. O. [1 ]
机构：
[1] Matematichesk Zametki, Moscow 119991, Russia
来源：
MATHEMATICAL NOTES | 2023年 / 114卷 / 1-2期
关键词：
switching system; periodic solution; Lyapunov inequality; LINEAR-SYSTEMS; PERIODIC-SOLUTIONS; NONLINEAR-SYSTEMS; DYNAMICAL-SYSTEMS; STABILITY; STABILIZABILITY; STABILIZATION; DESIGN;
D O I：
10.1134/S0001434623070076
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider an important class of hybrid systems, called switching systems, in which a continuous process is controlled by a discrete control between different subsystems. In the case where the switching system has a periodic solution, a lower bound for its period is obtained. For a second-order linear switched differential equation, an inequality is proved that allows one to estimate the distance between two successive zeros of its solution.
引用
收藏
页码：77 / 84
页数：8
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