Convergent systems: nonlinear simplicity

A. Pavlov, N. van de Wouw

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

11 Citations (Scopus)
5 Downloads (Pure)


Convergent systems are systems that have a uniquely defined globally asymptotically stable steady-state solution. Asymptotically stable linear systems excited by a bounded time varying signal are convergent. Together with the superposition principle, the convergence property forms a foundation for a large number of analysis and (control) design tools for linear systems. Nonlinear convergent systems are in many ways similar to linear systems and are, therefore, in a certain sense simple, although the superposition principle does not hold. This simplicity allows one to solve a number of analysis and design problems for nonlinear systems and makes the convergence property highly instrumental for practical applications. In this chapter, we review the notion of convergent systems and its applications to various analyses and design problems within the field of systems and control.

Original languageEnglish
Title of host publicationNonlinear systems
Subtitle of host publicationtechniques for dynamical analysis and control
EditorsN. Wouw, van de, E. Lefeber, I. Lopez Arteaga
Place of PublicationBerlin
Number of pages27
ISBN (Print)9783319303567
Publication statusPublished - 2017
EventInternational workshop on Nonlinear Systems in honor of Henk Nijmeijer’s 60th birthday, 2016 - Eindhoven, Netherlands
Duration: 21 Jan 201621 Jan 2016

Publication series

NameLecture Notes in Control and Information Sciences
ISSN (Print)01708643


ConferenceInternational workshop on Nonlinear Systems in honor of Henk Nijmeijer’s 60th birthday, 2016


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