Controllability of linear impulsive matrix Lyapunov differential systems with delays in the control function

Vijayakumar S. Muni; Raju K. George

Kybernetika (2018)

  • Volume: 54, Issue: 4, page 664-698
  • ISSN: 0023-5954

Abstract

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In this paper, we establish the controllability conditions for a finite-dimensional dynamical control system modelled by a linear impulsive matrix Lyapunov ordinary differential equations having multiple constant time-delays in control for certain classes of admissible control functions. We characterize the controllability property of the system in terms of matrix rank conditions and are easy to verify. The obtained results are applicable for both autonomous (time-invariant) and non-autonomous (time-variant) systems. Two numerical examples are given to illustrate the theoretical results obtained in this paper.

How to cite

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S. Muni, Vijayakumar, and K. George, Raju. "Controllability of linear impulsive matrix Lyapunov differential systems with delays in the control function." Kybernetika 54.4 (2018): 664-698. <http://eudml.org/doc/294522>.

@article{S2018,
abstract = {In this paper, we establish the controllability conditions for a finite-dimensional dynamical control system modelled by a linear impulsive matrix Lyapunov ordinary differential equations having multiple constant time-delays in control for certain classes of admissible control functions. We characterize the controllability property of the system in terms of matrix rank conditions and are easy to verify. The obtained results are applicable for both autonomous (time-invariant) and non-autonomous (time-variant) systems. Two numerical examples are given to illustrate the theoretical results obtained in this paper.},
author = {S. Muni, Vijayakumar, K. George, Raju},
journal = {Kybernetika},
keywords = {matrix Lyapunov systems; controllability; impulsive differential systems; delays},
language = {eng},
number = {4},
pages = {664-698},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Controllability of linear impulsive matrix Lyapunov differential systems with delays in the control function},
url = {http://eudml.org/doc/294522},
volume = {54},
year = {2018},
}

TY - JOUR
AU - S. Muni, Vijayakumar
AU - K. George, Raju
TI - Controllability of linear impulsive matrix Lyapunov differential systems with delays in the control function
JO - Kybernetika
PY - 2018
PB - Institute of Information Theory and Automation AS CR
VL - 54
IS - 4
SP - 664
EP - 698
AB - In this paper, we establish the controllability conditions for a finite-dimensional dynamical control system modelled by a linear impulsive matrix Lyapunov ordinary differential equations having multiple constant time-delays in control for certain classes of admissible control functions. We characterize the controllability property of the system in terms of matrix rank conditions and are easy to verify. The obtained results are applicable for both autonomous (time-invariant) and non-autonomous (time-variant) systems. Two numerical examples are given to illustrate the theoretical results obtained in this paper.
LA - eng
KW - matrix Lyapunov systems; controllability; impulsive differential systems; delays
UR - http://eudml.org/doc/294522
ER -

References

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