Convergent systems vs. incremental stability

Two similar stability notions are considered; one is the long established notion of convergent systems, the other is the younger notion of incremental stability. Both notions require that any two solutions of a system converge to each other. Yet these stability concepts are different, in the sense t...

Full description

Saved in:
Bibliographic Details
Published inSystems & control letters Vol. 62; no. 3; pp. 277 - 285
Main Authors Rüffer, Björn S., van de Wouw, Nathan, Mueller, Markus
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.03.2013
Subjects
Control systems
Convergent systems
Converse Lyapunov result
Incremental stability
Lyapunov functions
Stability
Time-varying nonlinear systems
Convergent systems
Incremental stability
Time-varying nonlinear systems
Converse Lyapunov result
Online AccessGet full text

Cover

More Information
Summary:Two similar stability notions are considered; one is the long established notion of convergent systems, the other is the younger notion of incremental stability. Both notions require that any two solutions of a system converge to each other. Yet these stability concepts are different, in the sense that none implies the other, as is shown in this paper using two examples. It is shown under what additional assumptions one property indeed implies the other. Furthermore, this paper contains necessary and sufficient characterizations of both properties in terms of Lyapunov functions.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0167-6911
1872-7956
DOI:10.1016/j.sysconle.2012.11.015