Geodesic
On Some Properties of Solutions of Switched Differential Equations
Matematičeskie zametki, Tome 114 (2023) no. 1, pp. 94-103

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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.
Keywords: switching system, periodic solution, Lyapunov inequality. 
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     title = {On {Some} {Properties} of {Solutions} of {Switched} {Differential} {Equations}},
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     url = {http://geodesic.mathdoc.fr/item/MZM_2023_114_1_a6/}
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A. O. Ignatyev. On Some Properties of Solutions of Switched Differential Equations. Matematičeskie zametki, Tome 114 (2023) no. 1, pp. 94-103. http://geodesic.mathdoc.fr/item/MZM_2023_114_1_a6/