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
93B05 93B27 93B60
This is a preview of subscription content, log in to check access.
C. Chen: Introduction to Linear System Theory. Holt, Rinehart and Winston Inc., New York, 1970.Google Scholar
M. I. García-Planas, J. L. Domínguez-García: Alternative tests for functional and pointwise output-controllability of linear time-invariant systems. Syst. Control Lett. 62 (2013), 382–387.MathSciNetCrossRefMATHGoogle Scholar
A. Heniche, I. Kamwa: Using measures of controllability and observability for input and output selection. IEEE International Conference on Control Applications 2 (2002), 1248–1251.CrossRefGoogle Scholar
P. Kundur: Power System Stability and Control. McGraw-Hill, New York, 1994.Google Scholar