New Results on Finite-Time Stability and Stabilization of Switched Positive Linear Time-Delay Systems

In this paper, the problems of finite-time stability and stabilization for switched positive linear time-delay systems under mode-dependent average dwell time (MDADT) are investigated. By proposing a novel multiple piecewise copositive Lyapunov-Krasovskii functional, new results on the sufficient co...

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Main Authors:	Li-Juan Liu, Ning Xu, Guangdeng Zong, Xudong Zhao
Format:	Article
Language:	English
Published:	IEEE 2020-01-01
Series:	IEEE Access
Subjects:	Switched positive systems finite-time stability linear programming mode-dependent average dwell time time delay
Online Access:	https://ieeexplore.ieee.org/document/8939556/

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spelling	doaj-28e3e319e5be41279dcb9a27b4e537b32021-03-30T01:13:15ZengIEEEIEEE Access2169-35362020-01-0184418442710.1109/ACCESS.2019.29616838939556New Results on Finite-Time Stability and Stabilization of Switched Positive Linear Time-Delay SystemsLi-Juan Liu0https://orcid.org/0000-0002-5716-2129Ning Xu1https://orcid.org/0000-0002-0717-1713Guangdeng Zong2https://orcid.org/0000-0001-6498-5580Xudong Zhao3https://orcid.org/0000-0002-1864-4686Key Laboratory of Intelligent Control and Optimization for Industrial Equipment, Dalian University of Technology, Ministry of Education, Dalian, ChinaSchool of Information Science and Technology, Bohai University, Jinzhou, ChinaSchool of Engineering, Qufu Normal University, Rizhao, ChinaKey Laboratory of Intelligent Control and Optimization for Industrial Equipment, Dalian University of Technology, Ministry of Education, Dalian, ChinaIn this paper, the problems of finite-time stability and stabilization for switched positive linear time-delay systems under mode-dependent average dwell time (MDADT) are investigated. By proposing a novel multiple piecewise copositive Lyapunov-Krasovskii functional, new results on the sufficient conditions of finite-time stability are obtained. In order to solve the limitation of the multiple piecewise copositive Lyapunov-Krasovskii functional on designing controllers, a novel linear combinatorial copositive Lyapunov-Krasovskii functional is constructed, this provides a possibility for the numerical construction of the controller. Then by using state feedback controller, the finite-time stabilization is achieved. Finally, some simulation results are given to show the advantages of our methods.https://ieeexplore.ieee.org/document/8939556/Switched positive systemsfinite-time stabilitylinear programmingmode-dependent average dwell timetime delay
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Li-Juan Liu Ning Xu Guangdeng Zong Xudong Zhao
spellingShingle	Li-Juan Liu Ning Xu Guangdeng Zong Xudong Zhao New Results on Finite-Time Stability and Stabilization of Switched Positive Linear Time-Delay Systems IEEE Access Switched positive systems finite-time stability linear programming mode-dependent average dwell time time delay
author_facet	Li-Juan Liu Ning Xu Guangdeng Zong Xudong Zhao
author_sort	Li-Juan Liu
title	New Results on Finite-Time Stability and Stabilization of Switched Positive Linear Time-Delay Systems
title_short	New Results on Finite-Time Stability and Stabilization of Switched Positive Linear Time-Delay Systems
title_full	New Results on Finite-Time Stability and Stabilization of Switched Positive Linear Time-Delay Systems
title_fullStr	New Results on Finite-Time Stability and Stabilization of Switched Positive Linear Time-Delay Systems
title_full_unstemmed	New Results on Finite-Time Stability and Stabilization of Switched Positive Linear Time-Delay Systems
title_sort	new results on finite-time stability and stabilization of switched positive linear time-delay systems
publisher	IEEE
series	IEEE Access
issn	2169-3536
publishDate	2020-01-01
description	In this paper, the problems of finite-time stability and stabilization for switched positive linear time-delay systems under mode-dependent average dwell time (MDADT) are investigated. By proposing a novel multiple piecewise copositive Lyapunov-Krasovskii functional, new results on the sufficient conditions of finite-time stability are obtained. In order to solve the limitation of the multiple piecewise copositive Lyapunov-Krasovskii functional on designing controllers, a novel linear combinatorial copositive Lyapunov-Krasovskii functional is constructed, this provides a possibility for the numerical construction of the controller. Then by using state feedback controller, the finite-time stabilization is achieved. Finally, some simulation results are given to show the advantages of our methods.
topic	Switched positive systems finite-time stability linear programming mode-dependent average dwell time time delay
url	https://ieeexplore.ieee.org/document/8939556/
work_keys_str_mv	AT lijuanliu newresultsonfinitetimestabilityandstabilizationofswitchedpositivelineartimedelaysystems AT ningxu newresultsonfinitetimestabilityandstabilizationofswitchedpositivelineartimedelaysystems AT guangdengzong newresultsonfinitetimestabilityandstabilizationofswitchedpositivelineartimedelaysystems AT xudongzhao newresultsonfinitetimestabilityandstabilizationofswitchedpositivelineartimedelaysystems
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New Results on Finite-Time Stability and Stabilization of Switched Positive Linear Time-Delay Systems

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