Convergent systems vs. incremental stability

B.S. Rüffer, N. Wouw, van de, M. Mueller

Research output: Contribution to journalArticleAcademicpeer-review

44 Citations (Scopus)

Abstract

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.
Original languageEnglish
Pages (from-to)277-285
Number of pages9
JournalSystems and Control Letters
Volume62
Issue number3
DOIs
Publication statusPublished - 2013

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