On Some Properties of Solutions of Switched Differential Equations

A. O. Ignatyev

Matematičeskie zametki, Tome 114 (2023) no. 1, pp. 94-103.

Résumé

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.

Détail

Keywords: switching system, periodic solution, Lyapunov inequality.

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