Guaranteed cost finite-time control for positive switched linear systems with time-varying delays
type: Item
instance of: scholarly article
title: Guaranteed cost finite-time control for positive switched linear systems with time-varying delays
zbMATH Open document ID: 1400.93127
DOI: 10.1155/2017/7051658
author: Xiangyang Cao
author: Leipo Liu
author: Zhumu Fu
author: Xiaona Song
author: Shuzhong Song
published in: Journal of Control Science and Engineering
publication date: 2018-10-15T00:00:00Z
review text: Summary: This paper considers the guaranteed cost finite-time control for positive switched linear systems with time-varying delays. The definition of guaranteed cost finite-time boundedness is firstly given. Then, by using the mode-dependent average dwell time approach, a static output feedback law and a state feedback control law are constructed, respectively, and sufficient conditions are obtained to guarantee that the closed-loop system is guaranteed cost finite-time boundedness. Such conditions can be easily solved by linear programming. Finally, an example is given to illustrate the effectiveness of the proposed method.
Mathematics Subject Classification ID: 93C30
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 90C05
zbMATH DE Number: 6954276
zbMATH Keywords: finite-time control
zbMATH Keywords: positive switched linear systems
zbMATH Keywords: time-varying delays
zbMATH Keywords: linear programming
Wikidata QID: Q59145622
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/7051658
OpenAlex ID: W2588456908
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description: scientific article; zbMATH DE number 6954276