Abstract
In this paper, stability analysis is studied for hybrid time-delay systems (HTDSs) with homogeneity. Using Lyapunov–Krasovskii functional method, a novel and relaxed condition is derived to analyze pre-asymptotic stability of the considered systems with homogeneity. Then, the connections of solutions are established between the systems with different sizes. Based on the established connections, some homogeneous properties are introduced to analyze stability of the HTDSs with different sizes or degrees, and then some necessary and sufficient stability conditions are obtained. Finally, numerical examples are provided to show the effectiveness of the results obtained in this paper.
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