Stabilization of nonlinear large-scale uncertain dynamical systems
type: Item
instance of: scholarly article
title: Stabilization of nonlinear large-scale uncertain dynamical systems
zbMATH Open document ID: 0662.93058
DOI: 10.1016/0022-247X(88)90123-0
published in: Journal of Mathematical Analysis and Applications
publication date: 1988-01-01T00:00:00Z
review text: The paper considers stabilizability of a class of nonlinear, uncertain, interconnected systems described by \[ z_ i=f_ i(t,z_ i,u_ i,v_ i)+g_ i(t,z),\quad 1\leq i\leq N, \] where \(z_ i\), \(u_ i\) and \(v_ i\) are the state, input and the uncertainty of the i-th subsystem respectively, and \(g_ i(t,z)\) represents the effects of other subsystems on the i-th one with \(z=(z_ 1,z_ 2,...,z_ N)\) being the overall state. The paper provides local and global structural conditions on \(f_ i\) and \(g_ i\) for the existence of local (decentralized) feedback control laws which guarantee ultimate boundedness and asymptotic stability of the overall closed-loop system. The results are illustrated by a second order example which is viewed is interconnection of two scalar subsystems.
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 34D40
Mathematics Subject Classification ID: 93A15
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93D20
zbMATH DE Number: 4083505
zbMATH Keywords: stabilizability
zbMATH Keywords: nonlinear, uncertain, interconnected systems
zbMATH Keywords: local (decentralized) feedback control
zbMATH Keywords: ultimate boundedness
zbMATH Keywords: asymptotic stability
author: Jiongmin Yong
reviewed by: M. Erol Sezer
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4083505