Further results on reachable set bounding for discrete-time system with time-varying delay and bounded disturbance inputs
type: Item
instance of: scholarly article
title: Further results on reachable set bounding for discrete-time system with time-varying delay and bounded disturbance inputs
zbMATH Open document ID: 1398.93047
DOI: 10.1155/2018/9259284
author: Wei Kang
author: Hao Chen
author: Kaibo Shi
author: Jun Cheng
published in: Complexity
publication date: 2018-10-04T00:00:00Z
review text: Summary: This paper investigates the problem of reachable set bounding for discrete-time system with time-varying delay and bounded disturbance inputs. Together with a new Lyapunov-Krasovskii functional, discrete Wirtinger-based inequality, and reciprocally convex approach, sufficient conditions are derived to find an ellipsoid to bound the reachable sets of discrete-time delayed system. The main advantage of this paper lies in two aspects: first, the initial state vectors are not necessarily zero; second, the obtained criteria in this paper do not really require all the symmetric matrices involved in the employed Lyapunov-Krasovskii functional to be positive definite. Finally, two numerical examples are provided to illustrate the effectiveness of the proposed method.
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93D30
zbMATH DE Number: 6946863
zbMATH Keywords: reachable set
zbMATH Keywords: discrete-time system
zbMATH Keywords: time-varying delay
zbMATH Keywords: bounded disturbance inputs
zbMATH Keywords: Lyapunov-Krasovskii functional
zbMATH Keywords: discrete Wirtinger-based inequality
zbMATH Keywords: reciprocally convex approach
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/9259284
OpenAlex ID: W2794734103
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description: scientific article; zbMATH DE number 6946863