Alternate checking criteria for reachable controllability of rectangular descriptor systems

Vikas Kumar Mishra; Nutan Kumar Tomar

Kybernetika (2017)

  • Volume: 53, Issue: 5, page 820-837
  • ISSN: 0023-5954

Abstract

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Contrary to state space systems, there are different notions of controllability for linear time invariant descriptor systems due to the non smooth inputs and inconsistent initial conditions. A comprehensive study of different notions of controllability for linear descriptor systems is performed. Also, it is proved that reachable controllability for general linear time invariant descriptor system is equivalent to the controllability of some matrix pair under an assumption milder than impulse controllability. The whole theory has been developed by coining two new decompositions for system matrices. Examples are given to illustrate the presented theory.

How to cite

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Mishra, Vikas Kumar, and Tomar, Nutan Kumar. "Alternate checking criteria for reachable controllability of rectangular descriptor systems." Kybernetika 53.5 (2017): 820-837. <http://eudml.org/doc/294835>.

@article{Mishra2017,
abstract = {Contrary to state space systems, there are different notions of controllability for linear time invariant descriptor systems due to the non smooth inputs and inconsistent initial conditions. A comprehensive study of different notions of controllability for linear descriptor systems is performed. Also, it is proved that reachable controllability for general linear time invariant descriptor system is equivalent to the controllability of some matrix pair under an assumption milder than impulse controllability. The whole theory has been developed by coining two new decompositions for system matrices. Examples are given to illustrate the presented theory.},
author = {Mishra, Vikas Kumar, Tomar, Nutan Kumar},
journal = {Kybernetika},
keywords = {descriptor systems; controllability; reachable controllability},
language = {eng},
number = {5},
pages = {820-837},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Alternate checking criteria for reachable controllability of rectangular descriptor systems},
url = {http://eudml.org/doc/294835},
volume = {53},
year = {2017},
}

TY - JOUR
AU - Mishra, Vikas Kumar
AU - Tomar, Nutan Kumar
TI - Alternate checking criteria for reachable controllability of rectangular descriptor systems
JO - Kybernetika
PY - 2017
PB - Institute of Information Theory and Automation AS CR
VL - 53
IS - 5
SP - 820
EP - 837
AB - Contrary to state space systems, there are different notions of controllability for linear time invariant descriptor systems due to the non smooth inputs and inconsistent initial conditions. A comprehensive study of different notions of controllability for linear descriptor systems is performed. Also, it is proved that reachable controllability for general linear time invariant descriptor system is equivalent to the controllability of some matrix pair under an assumption milder than impulse controllability. The whole theory has been developed by coining two new decompositions for system matrices. Examples are given to illustrate the presented theory.
LA - eng
KW - descriptor systems; controllability; reachable controllability
UR - http://eudml.org/doc/294835
ER -

References

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