Results 241 to 250 of about 2,884,265 (279)

The regulator equations for retarded delay differential equations

Proceedings of the 41st IEEE Conference on Decision and Control, 2002., 2003
In this work we present a simple formula for the solution of problems of output regulation (tracking and disturbance rejection) for systems governed by linear retarded functional differential equations. Our formulas are based on an analysis of the so-called regulator equations.
Christopher I. Byrnes, David S. Gilliam, Victor I. Shubov   +2 more
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Bifurcation delay in a delay differential equation

Nonlinear Analysis: Theory, Methods & Applications, 2005
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Miyazaki, R., Tchizawa, K.
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The delay differential equation

Mathematika, 1986
The usual method of dealing with delay differential equations such asis the method of steps [1, 2]. In this, y(x) is assumed to be known for − α < x < 0, thereby defining over 0 < x < α. As a result of integration, the value of y is now known over 0 < x < α, and the integration proceeds thereon by a succession of steps.
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Stability of Solutions of Delay Differential Equations

Siberian Advances in Mathematics, 2023
Summary: In the present article, we consider a class of systems of linear differential equations with infinite distributed delay and periodic coefficients. We use the Lyapunov-Krasovskii functional and obtain sufficient conditions for exponential stability of the zero solution, find conditions on perturbation of the coefficients of the system that ...
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Differential-Delay Equations

2011
Periodic motions in DDE (Differential-Delay Equations) are typically created in Hopf bifurcations. In this chapter we examine this process from several points of view. Firstly we use Lindstedt’s perturbation method to derive the Hopf Bifurcation Formula, which determines the stability of the periodic motion.
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Delay Differential Equations

2011
Delay differential equations occur in many areas of science. Mathematically, delay terms render differential equations infinite dimensional. This enables even simple equations with delay terms to show complex dynamics.
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Delay Differential Equations

2017
Almost all dynamical systems can be subject to some sort of feedback control, where a time delay arises due to a finite time interval being required for the system to sense a change and react to it. Also, many dynamical systems, especially in biology, have the delays inherently built in.
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Stability of uncertain delay differential equations

Journal of Intelligent & Fuzzy Systems, 2017
Uncertain delay differential equation is a type of differential equations driven by a canonical Liu process. This paper mainly focuses on the stability of uncertain delay differential equations. At first, the concept of stability in measure, stability in mean and stability in moment for uncertain delay differential equations will be presented.
Xiao Wang 0008, Yufu Ning
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Applying Stiff Integrators for Ordinary Differential Equations and Delay Differential Equations to Problems with Distributed Delays

SIAM Journal on Scientific Computing
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nicola Guglielmi, Ernst Hairer
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Delayed Differential Equations

2014
Matematik olaylarıx'(t) = f(t, x(t ...
GÖZÜKIZIL, Ömer, Şencan, Huri
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