Exact controllability of linear dynamical systems: A geometrical approach

María Isabel García-Planas

Applications of Mathematics (2017)

  • Volume: 62, Issue: 1, page 37-47
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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García-Planas, María Isabel. "Exact controllability of linear dynamical systems: A geometrical approach." Applications of Mathematics 62.1 (2017): 37-47. <http://eudml.org/doc/287556>.

@article{García2017,
abstract = {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.},
author = {García-Planas, María Isabel},
journal = {Applications of Mathematics},
keywords = {controllability; exact controllability; eigenvalue; eigenvector; linear system},
language = {eng},
number = {1},
pages = {37-47},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Exact controllability of linear dynamical systems: A geometrical approach},
url = {http://eudml.org/doc/287556},
volume = {62},
year = {2017},
}

TY - JOUR
AU - García-Planas, María Isabel
TI - Exact controllability of linear dynamical systems: A geometrical approach
JO - Applications of Mathematics
PY - 2017
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 62
IS - 1
SP - 37
EP - 47
AB - 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.
LA - eng
KW - controllability; exact controllability; eigenvalue; eigenvector; linear system
UR - http://eudml.org/doc/287556
ER -

References

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