Abstract

In this brief paper, we investigate the practical stabilization problem of multiple time-delayed positive linear time-varying systems. Firstly, a sufficient condition for the practical stability of the system is derived using the maximal separable Lyapunov–Krasovskii functional. Then, a state feedback controller is designed for the considered positive linear time-varying system with multiple time delays. Building on this method, the study further addresses the practical stabilization problem for positive linear time-varying systems with multiple state time delays and input time delays. The positivity of the linear time-varying system with input time delays is verified by designing a state feedback controller, and the practical stability is proven using the maximal separable Lyapunov–Krasovskii functional method. Finally, numerical examples are presented to validate the feasibility of the proposed method.

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