Standard

Lyapunov-Krasovskii functionals for scalar neutral type time delay equations. / Velázquez-Velázquez, J. E.; Kharitonov, V. L.

In: Systems and Control Letters, Vol. 58, No. 1, 01.2009, p. 17-25.

Research output: Contribution to journal › Article › peer-review

Harvard

Velázquez-Velázquez, JE & Kharitonov, VL 2009, 'Lyapunov-Krasovskii functionals for scalar neutral type time delay equations', Systems and Control Letters, vol. 58, no. 1, pp. 17-25. https://doi.org/10.1016/j.sysconle.2008.07.004

APA

Velázquez-Velázquez, J. E., & Kharitonov, V. L. (2009). Lyapunov-Krasovskii functionals for scalar neutral type time delay equations. Systems and Control Letters, 58(1), 17-25. https://doi.org/10.1016/j.sysconle.2008.07.004

Vancouver

Velázquez-Velázquez JE, Kharitonov VL. Lyapunov-Krasovskii functionals for scalar neutral type time delay equations. Systems and Control Letters. 2009 Jan;58(1):17-25. https://doi.org/10.1016/j.sysconle.2008.07.004

Author

Velázquez-Velázquez, J. E. ; Kharitonov, V. L. / Lyapunov-Krasovskii functionals for scalar neutral type time delay equations. In: Systems and Control Letters. 2009 ; Vol. 58, No. 1. pp. 17-25.

BibTeX

@article{6316c75d4f3b40bba3182bf9a8cb5db5,
title = "Lyapunov-Krasovskii functionals for scalar neutral type time delay equations",
abstract = "In this paper a procedure for construction of complete type Lyapunov-Krasovskii functionals for a scalar neutral type time delay equation is considered. The construction of the functionals depends on the so-called Lyapunov functions which satisfy a delay equation with additional boundary conditions. It is shown that these functionals admit lower and upper quadratic bounds. Exponential estimates for solutions of the scalar neutral type time delay equations based on the Lyapunov-Krasovskii functionals are presented. A new definition of the Lyapunov function is given, and a detailed analysis of its properties is carried out.",
keywords = "Lyapunov-Krasovskii functionals, Stability, Time delay systems",
author = "Vel{\'a}zquez-Vel{\'a}zquez, {J. E.} and Kharitonov, {V. L.}",
year = "2009",
month = jan,
doi = "10.1016/j.sysconle.2008.07.004",
language = "English",
volume = "58",
pages = "17--25",
journal = "Systems and Control Letters",
issn = "0167-6911",
publisher = "Elsevier",
number = "1",

}

RIS

TY - JOUR

T1 - Lyapunov-Krasovskii functionals for scalar neutral type time delay equations

AU - Velázquez-Velázquez, J. E.

AU - Kharitonov, V. L.

PY - 2009/1

Y1 - 2009/1

N2 - In this paper a procedure for construction of complete type Lyapunov-Krasovskii functionals for a scalar neutral type time delay equation is considered. The construction of the functionals depends on the so-called Lyapunov functions which satisfy a delay equation with additional boundary conditions. It is shown that these functionals admit lower and upper quadratic bounds. Exponential estimates for solutions of the scalar neutral type time delay equations based on the Lyapunov-Krasovskii functionals are presented. A new definition of the Lyapunov function is given, and a detailed analysis of its properties is carried out.

AB - In this paper a procedure for construction of complete type Lyapunov-Krasovskii functionals for a scalar neutral type time delay equation is considered. The construction of the functionals depends on the so-called Lyapunov functions which satisfy a delay equation with additional boundary conditions. It is shown that these functionals admit lower and upper quadratic bounds. Exponential estimates for solutions of the scalar neutral type time delay equations based on the Lyapunov-Krasovskii functionals are presented. A new definition of the Lyapunov function is given, and a detailed analysis of its properties is carried out.

KW - Lyapunov-Krasovskii functionals

KW - Stability

KW - Time delay systems

UR - http://www.scopus.com/inward/record.url?scp=57249089086&partnerID=8YFLogxK

U2 - 10.1016/j.sysconle.2008.07.004

DO - 10.1016/j.sysconle.2008.07.004

M3 - Article

AN - SCOPUS:57249089086

VL - 58

SP - 17

EP - 25

JO - Systems and Control Letters

JF - Systems and Control Letters

SN - 0167-6911

IS - 1

ER -

ID: 9422459