Exponential estimates of a class of time-delay nonlinear systems with convex representations

Máximo Ramírez; Raúl Villafuerte; Temoatzin González; Miguel Bernal

International Journal of Applied Mathematics and Computer Science (2015)

  • Volume: 25, Issue: 4, page 815-826
  • ISSN: 1641-876X

Abstract

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This work introduces a novel approach to stability and stabilization of nonlinear systems with delayed multivariable inputs; it provides exponential estimates as well as a guaranteed cost of the system solutions. The result is based on an exact convex representation of the nonlinear system which allows a Lyapunov-Krasovskii functional to be applied in order to obtain sufficient conditions in the form of linear matrix inequalities. These are efficiently solved via convex optimization techniques. A real-time implementation of the developed approach on the twin rotor MIMO system is included.

How to cite

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Máximo Ramírez, et al. "Exponential estimates of a class of time-delay nonlinear systems with convex representations." International Journal of Applied Mathematics and Computer Science 25.4 (2015): 815-826. <http://eudml.org/doc/275990>.

@article{MáximoRamírez2015,
abstract = {This work introduces a novel approach to stability and stabilization of nonlinear systems with delayed multivariable inputs; it provides exponential estimates as well as a guaranteed cost of the system solutions. The result is based on an exact convex representation of the nonlinear system which allows a Lyapunov-Krasovskii functional to be applied in order to obtain sufficient conditions in the form of linear matrix inequalities. These are efficiently solved via convex optimization techniques. A real-time implementation of the developed approach on the twin rotor MIMO system is included.},
author = {Máximo Ramírez, Raúl Villafuerte, Temoatzin González, Miguel Bernal},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {exponential estimates; time delay systems; TS model; guaranteed cost; convex representations},
language = {eng},
number = {4},
pages = {815-826},
title = {Exponential estimates of a class of time-delay nonlinear systems with convex representations},
url = {http://eudml.org/doc/275990},
volume = {25},
year = {2015},
}

TY - JOUR
AU - Máximo Ramírez
AU - Raúl Villafuerte
AU - Temoatzin González
AU - Miguel Bernal
TI - Exponential estimates of a class of time-delay nonlinear systems with convex representations
JO - International Journal of Applied Mathematics and Computer Science
PY - 2015
VL - 25
IS - 4
SP - 815
EP - 826
AB - This work introduces a novel approach to stability and stabilization of nonlinear systems with delayed multivariable inputs; it provides exponential estimates as well as a guaranteed cost of the system solutions. The result is based on an exact convex representation of the nonlinear system which allows a Lyapunov-Krasovskii functional to be applied in order to obtain sufficient conditions in the form of linear matrix inequalities. These are efficiently solved via convex optimization techniques. A real-time implementation of the developed approach on the twin rotor MIMO system is included.
LA - eng
KW - exponential estimates; time delay systems; TS model; guaranteed cost; convex representations
UR - http://eudml.org/doc/275990
ER -

References

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