Applications of Mathematics

, Volume 62, Issue 1, pp 37–47 | Cite as

Exact controllability of linear dynamical systems: A geometrical approach



In recent years there has been growing interest in the descriptive analysis of complex systems, permeating many aspects of daily life, obtaining considerable advances in the description of their structural and dynamical properties. However, much less effort has been devoted to studying the controllability of the dynamics taking place on them. Concretely, for complex systems it is of interest to study the exact controllability; this measure is defined as the minimum set of controls that are needed in order to steer the whole system toward any desired state. In this paper, we focus the study on the obtention of the set of all B making the system (A,B) exact controllable.


controllability exact controllability eigenvalue eigenvector linear system 

MSC 2010

93B05 93B27 93B60 


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Copyright information

© Institute of Mathematics of the Academy of Sciences of the Czech Republic, Praha, Czech Republic 2017

Authors and Affiliations

  1. 1.Matemàtica Aplicada I, (MA1)Universitat Politècnica de Catalunya UPCBarcelonaSpain

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