On norm-controllability of nonlinear systems

descriptionPublicationkeyboard_double_arrow_right Article , Conference object 01 Dec 2011Publisher:IEEEJournal:IEEE Conference on Decision and Control and European Control Conference

Authors: Matthias Albrecht Müller; Daniel Liberzon; Frank Allgöwer;

doi: 10.1109/cdc.2011.6160557

On norm-controllability of nonlinear systems

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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.

Related Organizations

University of Stuttgart
Germany
University of Illinois at Urbana Champaign
United States
University of Illinois System
United States

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