Relaxed conditions for norm-controllability of nonlinear systems

Matthias A. Muller, Daniel Liberzon, Frank Allgower

Research output: Contribution to journalConference articlepeer-review


In this paper, we further study the recently introduced notion of norm-controllability, which captures the responsiveness of a nonlinear system with respect to applied inputs in terms of the norm of an output map. We give sufficient conditions for this property based on higher-order lower directional derivatives, which generalize the results obtained in our earlier work and help to establish norm-controllability for systems with outputs having relative degree greater than one. Furthermore, we illustrate the obtained results by means of a chemical reaction example.

Original languageEnglish (US)
Article number6426430
Pages (from-to)314-319
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
StatePublished - 2012
Event51st IEEE Conference on Decision and Control, CDC 2012 - Maui, HI, United States
Duration: Dec 10 2012Dec 13 2012

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization


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