On norm-controllability of nonlinear systems

Research output: Chapter in book/report/conference proceedingConference contributionResearchpeer review

Authors

External Research Organisations

  • University of Stuttgart
  • University of Illinois at Urbana-Champaign
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Details

Original languageEnglish
Title of host publication2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1741-1746
Number of pages6
ISBN (print)9781612848006
Publication statusPublished - 2011
Externally publishedYes
Event2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 - Orlando, FL, United States
Duration: 12 Dec 201115 Dec 2011

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0743-1546
ISSN (electronic)2576-2370

Abstract

In this paper, we introduce and study the notion of "norm- controllability" for nonlinear systems. This property captures the responsiveness of a system with respect to the applied inputs, which is quantified via the norm of an output map. As a main contribution, we obtain a Lyapunov-like sufficient condition for norm-controllability. Several examples illustrate the various aspects of the proposed concept, and we also further elaborate norm-controllability for the special case of linear systems.

ASJC Scopus subject areas

Cite this

On norm-controllability of nonlinear systems. / Muller, Matthias A.; Liberzon, Daniel; Allgower, Frank.
2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011. Institute of Electrical and Electronics Engineers Inc., 2011. p. 1741-1746 6160557 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapter in book/report/conference proceedingConference contributionResearchpeer review

Muller, MA, Liberzon, D & Allgower, F 2011, On norm-controllability of nonlinear systems. in 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011., 6160557, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 1741-1746, 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011, Orlando, FL, United States, 12 Dec 2011. https://doi.org/10.1109/CDC.2011.6160557
Muller, M. A., Liberzon, D., & Allgower, F. (2011). On norm-controllability of nonlinear systems. In 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 (pp. 1741-1746). Article 6160557 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2011.6160557
Muller MA, Liberzon D, Allgower F. On norm-controllability of nonlinear systems. In 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011. Institute of Electrical and Electronics Engineers Inc. 2011. p. 1741-1746. 6160557. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC.2011.6160557
Muller, Matthias A. ; Liberzon, Daniel ; Allgower, Frank. / On norm-controllability of nonlinear systems. 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011. Institute of Electrical and Electronics Engineers Inc., 2011. pp. 1741-1746 (Proceedings of the IEEE Conference on Decision and Control).
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