Exponential estimates and stabilization of discrete-time singular time-delay systems subject to actuator saturation
type: Item
instance of: scholarly article
title: Exponential estimates and stabilization of discrete-time singular time-delay systems subject to actuator saturation
zbMATH Open document ID: 1248.93126
DOI: 10.1155/2012/414373
author: Jinxing Lin
published in: Discrete Dynamics in Nature and Society
publication date: 2012-10-19T00:00:00Z
review text: Summary: We are concerned with exponential estimates and stabilization of a class of discrete-time singular systems with time-varying state delays and saturating actuators. By constructing a decay-rate-dependent Lyapunov-Krasovskii function and utilizing the slow-fast decomposition technique, an exponential admissibility condition, which not only guarantees the regularity, causality, and exponential stability of the unforced system but also gives the corresponding estimates of decay rate and decay coefficient, is derived in terms of linear matrix inequalities (LMIs). Under the proposed condition, the exponential stabilization problem of discrete-time singular time-delay systems subject actuator saturation is solved by designing a stabilizing state feedback controller and determining an associated set of safe initial conditions, for which the local exponential stability of the saturated closed-loop system is guaranteed. Two numerical examples are provided to illustrate the effectiveness of the proposed results.
Mathematics Subject Classification ID: 93D05
zbMATH DE Number: 6096221
zbMATH Keywords: exponential estimates
zbMATH Keywords: stabilization
zbMATH Keywords: discrete-time singular systems
Wikidata QID: Q58700531
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/414373
OpenAlex ID: W2023025045
cites work: Q4948866
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description: scientific article; zbMATH DE number 6096221