Open AccessPractical stability of time‐varying positive systems with time delay
Author(s) -
Li Ruonan,
Zhao Ping
Publication year - 2021
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/cth2.12105
Subject(s) - control theory (sociology) , stability (learning theory) , state (computer science) , controller (irrigation) , full state feedback , computer science , mathematics , control (management) , algorithm , machine learning , artificial intelligence , agronomy , biology
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.