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Impulsive control of continuous‐time homogeneous positive delay systems of degree one
Author(s) -
Yang Huitao,
Zhang Yu
Publication year - 2019
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.4555
Subject(s) - degree (music) , homogeneous , control theory (sociology) , mathematics , stability (learning theory) , lyapunov function , separable space , control (management) , positive systems , computer science , nonlinear system , mathematical analysis , linear system , physics , combinatorics , artificial intelligence , machine learning , quantum mechanics , acoustics
Summary This paper investigates the impulsive control of continuous‐time homogeneous positive delay systems of degree one. By using max‐separable Lyapunov functions and Razumikhin technique, a number of stability criteria for continuous‐time homogeneous impulsive positive delay systems of degree one are obtained. It should be noted that it is the first time that impulsive stabilization results for the addressed systems are given. Three numerical examples are presented to demonstrate the effectiveness of the control strategy.