Zero-state observability and stability of discrete-time nonlinear systems
type: Item
instance of: scholarly article
title: Zero-state observability and stability of discrete-time nonlinear systems
zbMATH Open document ID: 0826.93008
DOI: 10.1016/0005-1098(94)00088-Z
author: Wei Lin
author: C. I. Byrnes
published in: Automatica
publication date: 1995-11-27T00:00:00Z
review text: The paper studies discrete-time, stationary, finite-dimensional nonlinear dynamical systems. It is shown how asymptotic stability can be determined by zero-state observability and square summability of the observable functions. Moreover, the relationships between Lyapunov stability and asymptotic stability are studied. Finally, the feedback stabilization problem is also considered and relations to existing results are discussed. The paper contains several remarks and comments on observability and stability results for nonlinear discrete-time dynamical systems. Similar problems have been recently considered in the paper [\textit{A. S. Morse}, IEEE Trans. Autom. Control 35, 1002-1012 (1990; Zbl 0724.93047)].
Mathematics Subject Classification ID: 93B07
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93D20
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93D05
zbMATH DE Number: 758492
zbMATH Keywords: discrete-time
zbMATH Keywords: nonlinear
zbMATH Keywords: asymptotic stability
zbMATH Keywords: observability
zbMATH Keywords: Lyapunov stability
zbMATH Keywords: feedback stabilization
reviewed by: Jerzy Klamka
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 758492