A Lyapunov functional for a system with a time-varying delay

Józef Duda

International Journal of Applied Mathematics and Computer Science (2012)

  • Volume: 22, Issue: 2, page 327-337
  • ISSN: 1641-876X

Abstract

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The paper presents a method to determine a Lyapunov functional for a linear time-invariant system with an interval timevarying delay. The functional is constructed for the system with a time-varying delay with a given time derivative, which is calculated on the system trajectory. The presented method gives analytical formulas for the coefficients of the Lyapunov functional.

How to cite

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Józef Duda. "A Lyapunov functional for a system with a time-varying delay." International Journal of Applied Mathematics and Computer Science 22.2 (2012): 327-337. <http://eudml.org/doc/208111>.

@article{JózefDuda2012,
abstract = {The paper presents a method to determine a Lyapunov functional for a linear time-invariant system with an interval timevarying delay. The functional is constructed for the system with a time-varying delay with a given time derivative, which is calculated on the system trajectory. The presented method gives analytical formulas for the coefficients of the Lyapunov functional.},
author = {Józef Duda},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {Lyapunov functional; time delay system; LTI system},
language = {eng},
number = {2},
pages = {327-337},
title = {A Lyapunov functional for a system with a time-varying delay},
url = {http://eudml.org/doc/208111},
volume = {22},
year = {2012},
}

TY - JOUR
AU - Józef Duda
TI - A Lyapunov functional for a system with a time-varying delay
JO - International Journal of Applied Mathematics and Computer Science
PY - 2012
VL - 22
IS - 2
SP - 327
EP - 337
AB - The paper presents a method to determine a Lyapunov functional for a linear time-invariant system with an interval timevarying delay. The functional is constructed for the system with a time-varying delay with a given time derivative, which is calculated on the system trajectory. The presented method gives analytical formulas for the coefficients of the Lyapunov functional.
LA - eng
KW - Lyapunov functional; time delay system; LTI system
UR - http://eudml.org/doc/208111
ER -

References

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