Jerald P. Dauer
Abstract
The purpose of this paper is to consider the controllability of linear control systems which are perturbations (with respect to $L^p $-norms) of controllable linear systems. We show that the set of all completely controllable linear systems is open and dense in the set of all linear control systems.
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The purpose of this paper is to consider the controllability of linear control systems which are perturbations (with respect to $L^p $-norms) of controllable linear systems. We show that the set of all completely controllable linear systems is open and dense in the set of all linear control systems.
Key concepts: Controllability, Linear control systems, Linear system, Mathematics, Control theory (sociology), Set (abstract data type), Control (management), Control system