Improved delay-dependent exponential stability criteria for neutral-delay systems with nonlinear uncertainties

Yajuan Liu; Wanbiao Ma; Magdi S. Mahmoud; S. M. Lee

doi:10.1016/j.apm.2014.11.036

Improved delay-dependent exponential stability criteria for neutral-delay systems with nonlinear uncertainties

Yajuan Liu, Wanbiao Ma, Magdi S. Mahmoud, S. M. Lee

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

21 Scopus citations

Abstract

In this paper, the problem of delay-dependent exponential stability criteria for neutral-delay system with nonlinear uncertainties is considered. By constructing a new class of Lyapunov-Krasovskii functionals and using the free-weighting matrices methods within a convex optimization approach, some less conservative delay-dependent stability criteria of neutral delay differential system with nonlinear uncertainties is obtained. These stability conditions are solved as linear matrix inequalities which can be easily solved by various convex optimization algorithms. Finally, numerical examples are given to illustrate the effectiveness of the results.

Original language	English
Pages (from-to)	3164-3174
Number of pages	11
Journal	Applied Mathematical Modelling
Volume	39
Issue number	10-11
DOIs	https://doi.org/10.1016/j.apm.2014.11.036
State	Published - 2015

Keywords

Exponential stability
Linear matrix inequality
Neutral delay system
Time varying delay

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10.1016/j.apm.2014.11.036

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title = "Improved delay-dependent exponential stability criteria for neutral-delay systems with nonlinear uncertainties",

abstract = "In this paper, the problem of delay-dependent exponential stability criteria for neutral-delay system with nonlinear uncertainties is considered. By constructing a new class of Lyapunov-Krasovskii functionals and using the free-weighting matrices methods within a convex optimization approach, some less conservative delay-dependent stability criteria of neutral delay differential system with nonlinear uncertainties is obtained. These stability conditions are solved as linear matrix inequalities which can be easily solved by various convex optimization algorithms. Finally, numerical examples are given to illustrate the effectiveness of the results.",

keywords = "Exponential stability, Linear matrix inequality, Neutral delay system, Time varying delay",

author = "Yajuan Liu and Wanbiao Ma and Mahmoud, {Magdi S.} and Lee, {S. M.}",

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AU - Liu, Yajuan

AU - Ma, Wanbiao

AU - Mahmoud, Magdi S.

AU - Lee, S. M.

PY - 2015

Y1 - 2015

N2 - In this paper, the problem of delay-dependent exponential stability criteria for neutral-delay system with nonlinear uncertainties is considered. By constructing a new class of Lyapunov-Krasovskii functionals and using the free-weighting matrices methods within a convex optimization approach, some less conservative delay-dependent stability criteria of neutral delay differential system with nonlinear uncertainties is obtained. These stability conditions are solved as linear matrix inequalities which can be easily solved by various convex optimization algorithms. Finally, numerical examples are given to illustrate the effectiveness of the results.

AB - In this paper, the problem of delay-dependent exponential stability criteria for neutral-delay system with nonlinear uncertainties is considered. By constructing a new class of Lyapunov-Krasovskii functionals and using the free-weighting matrices methods within a convex optimization approach, some less conservative delay-dependent stability criteria of neutral delay differential system with nonlinear uncertainties is obtained. These stability conditions are solved as linear matrix inequalities which can be easily solved by various convex optimization algorithms. Finally, numerical examples are given to illustrate the effectiveness of the results.

KW - Exponential stability

KW - Linear matrix inequality

KW - Neutral delay system

KW - Time varying delay

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EP - 3174

JO - Applied Mathematical Modelling

JF - Applied Mathematical Modelling

IS - 10-11

ER -

Improved delay-dependent exponential stability criteria for neutral-delay systems with nonlinear uncertainties

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Keywords

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