Linear systems with controllable (A, B) and bounded control range have a unique control set. This control set is bounded if and only if A is hyperbolic. Then uniqueness also remains valid under small nonlinear perturbations. Examples show that for nonhyperbolic A small nonlinear perturbations may lead to infinitely many (invariant) control sets.

Uniqueness of control sets for perturbations of linear systems / COLONIUS F.; M. SPADINI. - STAMPA. - 246:(1999), pp. 115-135. (Intervento presentato al convegno Stability and Stabilization of Nonlinear Systems tenutosi a Ghent (Belgio) nel MAR 15-16, 1999).

Uniqueness of control sets for perturbations of linear systems

SPADINI, MARCO
1999

Abstract

Linear systems with controllable (A, B) and bounded control range have a unique control set. This control set is bounded if and only if A is hyperbolic. Then uniqueness also remains valid under small nonlinear perturbations. Examples show that for nonhyperbolic A small nonlinear perturbations may lead to infinitely many (invariant) control sets.
1999
Stability and Stabilization of Nonlinear Systems
Stability and Stabilization of Nonlinear Systems
Ghent (Belgio)
MAR 15-16, 1999
COLONIUS F.; M. SPADINI
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/242084
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