# 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

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topMáximo 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 -

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