Norm-controllability, or how a nonlinear system responds to large inputs

Matthias A. Müller, Daniel Liberzon, Frank Allgöwer

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The purpose of this paper is to survey and discuss recent results on normcontrollability of nonlinear systems. This notion captures the responsiveness of a nonlinear system with respect to the applied inputs in terms of the norm of an output map, and can be regarded as a certain type of gain concept and/or a weaker notion of controllability. We state several Lyapunov-like sufficient conditions for this property in a simplified formulation, and illustrate the concept with several examples.

Original languageEnglish (US)
Title of host publication9th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2013 - Proceedings
PublisherIFAC Secretariat
Pages104-109
Number of pages6
EditionPART 1
ISBN (Print)9783902823472
DOIs
StatePublished - 2013
Event9th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2013 - Toulouse, France
Duration: Sep 4 2013Sep 6 2013

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
NumberPART 1
Volume9
ISSN (Print)1474-6670

Other

Other9th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2013
Country/TerritoryFrance
CityToulouse
Period9/4/139/6/13

Keywords

  • Controllability
  • Input-to-State Stability
  • Lyapunov Methods
  • Nonlinear Systems

ASJC Scopus subject areas

  • Control and Systems Engineering

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