Practical stability of time‐varying positive systems with time delay
Ruonan Li, Ping Zhao
Abstract
Abstract This paper considers the problem of practical stability for time‐varying positive systems with time delay. For both non‐linear time‐varying positive systems and linear time‐varying positive (LTVP) systems with time delay, sufficient conditions on practical stability are derived by the max‐separable Lyapunov‐Krasovskii (L–K) functional method. Then based on the obtained results, an effective method for designing a desired controller in terms of state feedback and state feedback with input delay is established for LTVP systems with time delay. At the end, numerical examples are presented to illustrate the effectiveness of our results.
Topics & Concepts
Control theory (sociology)Stability (learning theory)State (computer science)Controller (irrigation)Full state feedbackComputer scienceMathematicsControl (management)AlgorithmAgronomyMachine learningArtificial intelligenceBiologyStability and Control of Uncertain SystemsStability and Controllability of Differential EquationsAdaptive Control of Nonlinear Systems