Guaranteed cost finite-time control of discrete-time positive impulsive switched systems
type: Item
instance of: scholarly article
title: Guaranteed cost finite-time control of discrete-time positive impulsive switched systems
zbMATH Open document ID: 1407.93215
DOI: 10.1155/2018/5790681
author: Leipo Liu
author: Hao Xing
author: Xiangyang Cao
author: Zhumu Fu
author: Shuzhong Song
published in: Complexity
publication date: 2019-02-18T00:00:00Z
review text: Summary: This paper considers the guaranteed cost finite-time boundedness of discrete-time positive impulsive switched systems. Firstly, the definition of guaranteed cost finite-time boundedness is introduced. By using the Multiple Linear Copositive Lyapunov Function (MLCLF) and Average Dwell Time (ADT) approach, a state feedback controller is designed and sufficient conditions are obtained to guarantee that the corresponding closed-loop system is Guaranteed Cost Finite-Time Boundedness (GCFTB). Such conditions can be solved by linear programming. Finally, a numerical example is provided to show the effectiveness of the proposed method.
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93B52
Mathematics Subject Classification ID: 93C30
Mathematics Subject Classification ID: 93D30
Mathematics Subject Classification ID: 93C05
zbMATH DE Number: 7024553
zbMATH Keywords: finite-time control
zbMATH Keywords: discrete-time positive impulsive switched systems
zbMATH Keywords: multiple linear copositive Lyapunov function (MLCLF)
zbMATH Keywords: average dwell time (ADT) approach
zbMATH Keywords: state feedback control
zbMATH Keywords: linear programming
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/5790681
OpenAlex ID: W2800397365
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description: scientific article; zbMATH DE number 7024553