Convergent systems: Nonlinear simplicity

Alexey Pavlov, Nathan Van de Wouw*

*Corresponding author for this work

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

6 Citations (Scopus)

Abstract

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. van der Wouw, E. Lefeber, I. Lopez Arteaga
PublisherSpringer
Pages51-77
Volume470
ISBN (Print)978-3-319-30356-7
DOIs
Publication statusPublished - 2017

Publication series

NameLecture Notes in Control and Information Sciences
Volume470
ISSN (Print)01708643

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