Results 281 to 290 of about 3,186,083 (334)

On critical delays for linear neutral delay systems

2007 European Control Conference (ECC), 2007
In this work we address the problem of finding the critical delays of a linear neutral delay system, i.e., the delays such that the system has a purely imaginary eigenvalue. Even though neutral delay systems exhibit some discontinuity properties with respect to changes in the delays an essential part in a non-conservative stability analysis with ...
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On delay-dependent stability of neutral time-delay systems

2007 European Control Conference (ECC), 2007
This paper is concerned with the problem of stability of neutral time-delay systems. On the basis of Lyapunov-Krasovskii approach, a new delay-dependent stability condition is firstly obtained in terms of linear matrix inequality (LMI) using the free-weighting matrices method.
Jian Sun, G. P. Liu
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Sufficient Conditions for the Oscillation of Delay and Neutral Delay Equations

Canadian Mathematical Bulletin, 1988
AbstractWe established sufficient conditions for the oscillation of all solutions of the delay differential equationand of the neutral delay differential equationwhere p, q, r and a are nonnegative constants and n is an odd natural number.
Grove, E. A., Ladas, G., Schinas, J.
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On Improved Delay-dependent Stability Criteria for Neutral Time-delay Systems

European Journal of Control, 2009
The authors consider the stability of a neutral time-delay system. They use the combination of a Lyapunov-Krasovskii functional and freeweighting matrices to obtain a new delay-dependent stability criterion in terms of a linear matrix inequality. Numerical examples are given to illustrate the effectiveness of the adopted method.
Sun, Jian, Liu, G. P.
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Asymptotic Stability in a Neutral Delay Differential System with Variable Delays

SIAM Journal on Mathematical Analysis, 2006
The authors extend and improve existing results on the asymptotic stability of the trivial solution of the so-called ``pure delay type'' neutral system with variable delays. Their method of proof is based on M-matrix theory and some new analytic techniques.
Chen, Wu-Hua, Lu, Xiaomei, Guan, Zhi-Hong, Zheng, Wei Xing   +3 more
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On a neutral delay logistic equation

Dynamics and Stability of Systems, 1988
The qualitative behaviour of solutions of the neutral delay logistic equation is investigated; sufficient conditions are obtained for the local asymptotic stability of the positive steady state or (*).The osciiiaiory and non-oscinaiory enaracierisucs oi me positive solutions of (*) are also studied.
K Gopalsamy, B. G. Zhang
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Stability of a thermoelastic laminated system subject to a neutral delay

Mathematical methods in the applied sciences, 2019
In this work, we consider a system of two identical beams of uniform thickness modeled as a Timoshenko system. The slip between the beams is taken into account, and the system is coupled with a heat equation.
L. Seghour, N. Tatar, A. Berkani
semanticscholar   +1 more source

Stability of third order neutral delay differential equations

RENEWABLE ENERGY SOURCES AND TECHNOLOGIES, 2019
There are almost no results in mathematical literature on the exponential stability of third-order neutral delay differential equations. One of the main purposes of the paper is to fill this gap. We propose an approach to the study of stability for third-
A. Domoshnitsky, I. Volinsky, S. Levi, S. Shemesh   +3 more
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Exact controllability in neutral delay equations

2003 IEEE International Workshop on Workload Characterization (IEEE Cat. No.03EX775), 2004
A necessary condition for the exact controllability in neutral delay equations of general form is given in terms of uniform lower estimates for the minors of an extended transfer function. Some upper and lower estimates of the time of exact controllability in terms of the maximal delay and the dimensions of the state and control vectors are also ...
D.V. Yakubovich, S.V.V. Lunel
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NUMERICS FOR NEUTRAL DELAY DIFFERENTIAL EQUATIONS

IFAC Proceedings Volumes, 2006
Abstract For a delay differential equation of neutral type (in short NDDE) the usual approach for solving delay equations, based on the use of a continuous ODE method, must take care of the additional term involving the derivative of the solution at some previous instant. Therefore, besides the continuous extension for approximating the solution, the
Alfredo Bellen, Nicola Guglielmi
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