Guaranteed cost finite-time control of positive switched nonlinear systems withD-perturbation

Hao Xing, et al. "Guaranteed cost finite-time control of positive switched nonlinear systems withD-perturbation." Open Mathematics 15.1 (2017): 1635-1648. <http://eudml.org/doc/288575>.

@article{HaoXing2017,
abstract = {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.},
author = {Hao Xing, Leipo Liu, Xiangyang Cao, Zhumu Fu, Shuzhong Song},
journal = {Open Mathematics},
keywords = {Positive switched nonlinear systems; Average dwell time; D-perturbation; Time-varying delay; Output feedback control},
language = {eng},
number = {1},
pages = {1635-1648},
title = {Guaranteed cost finite-time control of positive switched nonlinear systems withD-perturbation},
url = {http://eudml.org/doc/288575},
volume = {15},
year = {2017},
}

TY - JOUR
AU - Hao Xing
AU - Leipo Liu
AU - Xiangyang Cao
AU - Zhumu Fu
AU - Shuzhong Song
TI - Guaranteed cost finite-time control of positive switched nonlinear systems withD-perturbation
JO - Open Mathematics
PY - 2017
VL - 15
IS - 1
SP - 1635
EP - 1648
AB - 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.
LA - eng
KW - Positive switched nonlinear systems; Average dwell time; D-perturbation; Time-varying delay; Output feedback control
UR - http://eudml.org/doc/288575
ER -