This paper considers the guaranteed cost finite-time boundedness of positive switched nonlinear systems with D-perturbation and time-varying delay. Firstly, the definition of guaranteed cost finite-time boundedness is introduced. By using the Lyapunov-Krasovskii functional and average dwell time (ADT) approach, an output feedback controller is designed and sufficient conditions are obtained to ensure the corresponding closed-loop systems to be guaranteed cost finite-time boundedness (GCFTB). Such conditions can be solved by linear programming. Finally, two examples are provided to show the effectiveness of the proposed method.
@article{bwmeta1.element.doi-10_1515_math-2017-0141,
author = {Hao Xing and Leipo Liu and Xiangyang Cao and Zhumu Fu and Shuzhong Song},
title = {Guaranteed cost finite-time control of positive switched nonlinear systems withD-perturbation},
journal = {Open Mathematics},
volume = {15},
year = {2017},
pages = {1635-1648},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2017-0141}
}
Hao Xing; Leipo Liu; Xiangyang Cao; Zhumu Fu; Shuzhong Song. Guaranteed cost finite-time control of positive switched nonlinear systems withD-perturbation. Open Mathematics, Tome 15 (2017) pp. 1635-1648. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2017-0141/