Decentralized stabilizing state feedback controllers for a class of large-scale systems including state delays in the interconnections
type: Item
instance of: scholarly article
title: Decentralized stabilizing state feedback controllers for a class of large-scale systems including state delays in the interconnections
zbMATH Open document ID: 0927.93043
DOI: 10.1023/A:1021764814535
author: K. Appert
published in: Journal of Optimization Theory and Applications
publication date: 1999-09-13T00:00:00Z
review text: The author considers a problem of practical decentralized stabilization for a class of large-scale control affine nonlinear systems with interconnections including time-varying delays. The problem is solved using a Lyapunov type machinery and state feedback controllers independent of the delays are designed which ensure uniform ultimate boundedness of the overall system. The results are obtained under assumptions on continuity, boundedness and positivity of functions representing the time-varying delays and matching conditions satisfied by the interconnections. Moreover, modifying the controller, the author is able to prove robust asymptotic stability of the system as the limiting case of previously found properties of the system dynamics. For nominally linear completely controllable subsystems the uniform ultimate boundedness could be guaranteed by a class of linear decentralized state feedback controllers. The efficiency of the proposed design is demonstrated by a numerical example.
Mathematics Subject Classification ID: 93D21
Mathematics Subject Classification ID: 93A14
Mathematics Subject Classification ID: 93B52
Mathematics Subject Classification ID: 34K35
Mathematics Subject Classification ID: 93D09
zbMATH DE Number: 1269598
zbMATH Keywords: practical stabilization
reviewed by: Andrzej Świerniak
MaRDI profile type: Publication
cites work: Q4165204
cites work: Q3765610
cites work: The decentralized stabilization and control of a class of unknown non- linear time-varying systems
cites work: Decentrally stabilizable linear and bilinear large-scale systems†
cites work: Decentralized stabilization of linear time-varying systems
cites work: Decentralized stabilization of time-varying large-scale interconnected systems
cites work: Memoryless stabilization of linear delay-differential systems
cites work: A way to stabilize linear systems with delayed state
cites work: Stabilization of linear systems with time-varying delay
cites work: Finite spectrum assignment problem for systems with delay in state variables
cites work: Feedback stabilization of linear systems with delayed control
cites work: Stabilization of large-scale non-linear infinite delay systems
cites work: General decentralized stabilization of large-scale linear continuous and discrete time-delay systems
cites work: Decentralized stabilization of linear continuous and discrete-time systems with delays in interconnections
cites work: Introduction to functional differential equations
cites work: An improved Razumikhin-type theorem and its applications
cites work: Uncertain dynamical systems--A Lyapunov min-max approach
description: scientific article; zbMATH DE number 1269598