Guaranteed cost finite-time control of positive switched nonlinear systems with D-perturbation-Reference-Cited by-同舟云学术

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

Published:2017-12-29 Issue:1 Volume:15 Page:1635-1648
ISSN:2391-5455
Container-title:Open Mathematics
language:
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Author:

Xing Hao¹,Liu Leipo¹,Cao Xiangyang¹,Fu Zhumu¹,Song Shuzhong¹

Affiliation:

1. College of Information Engineering, Henan University of Science and Technology, Luoyang, 471023, China

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2017-0141/pdf

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