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 controlla...

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Bibliographic Details
Published in:Applications of mathematics (Prague) 2017-02, Vol.62 (1), p.37-47
Main Author: García-Planas, María Isabel
Format: Article
Language:English
Subjects:
Analysis
Applications of Mathematics
Classical and Continuum Physics
Complex systems
Control systems
Controllability
Dynamic tests
Dynamical systems
Eigenvalues
Eigenvectors
Mathematical and Computational Engineering
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Optimization
Permeating
Stability
Studies
Theoretical
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Summary: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.
ISSN:0862-7940
1572-9109
DOI:10.21136/AM.2017.0427-15