Results 251 to 260 of about 700,958 (287)

A Behavioral Approach To Delay-Differential Systems

SIAM Journal on Control and Optimization, 1997
Time-invariant delay-differential systems are being studied by algebraic methods in this paper. Contrary to the customary way of dealing with them as systems over (polynomial) rings, the objects are taken to be behaviors as introduced by \textit{J. C. Willems} [Dynamics reported 2, 171-269 (1989; Zbl 0685.93002)].
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Delay differential systems for tick population dynamics

Journal of Mathematical Biology, 2014
Ticks play a critical role as vectors in the transmission and spread of Lyme disease, an emerging infectious disease which can cause severe illness in humans or animals. To understand the transmission dynamics of Lyme disease and other tick-borne diseases, it is necessary to investigate the population dynamics of ticks.
Fan, Guihong, Thieme, Horst R., Zhu, Huaiping   +2 more
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APPROXIMATION OF STOCHASTIC DELAY DIFFERENTIAL SYSTEMS BY A STOCHASTIC SYSTEM WITHOUT DELAY

Bukovinian Mathematical Journal
In this paper, we propose a scheme for approximating the solutions of stochastic differential equations with delay by solutions of stochastic differential equations without delay. Stochastic delay differential equations play a crucial role in modeling real-world processes where the evolution depends on past states, introducing complexities due to their
Petryna, G. O., Stanzhyts'kyĭ, A. O.
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Stability of a delay-differential system

International Journal of Control, 1973
This paper investigates the asymptotic behaviour of a class of periodic functional differential equations containing a small real parameter, μ. In particular, a sufficient condition is developed which ensures that for the magnitude of μ small, but μ.
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Inverse differential-delay systems

IEEE Transactions on Automatic Control, 1974
In this correspondence, a sufficient condition for an inverse system of a linear autonomous differential-delay system to exist is given. An algorithm for realizing the inverse system is described. Also, a sufficient condition for the inverse system to be controllable is presented.
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Evolution Differential Systems with Impulse and Delay

2009
In this paper, we discuss a class of impulsive evolution neutral functional differential inclusions with infinite delay. The existence of mild solutions of these evolution neutral differential systems is obtained by using the new nonlinear alternatives of Leray-Schauder type.
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Controllability of delay-differential systems

1990
The concept of controllability is introduced and investigated for the class of AR delay-differential systems with separable AR descriptions. For this class of it is shown that a system SIGMA described by the AR equation R(sigma1, sigma2)w=o (with or, the differentiation- and sigma2 the delay-operator) is controllable if and only if rank R(lambda, e ...
Rocha, Paula, Willems, Jan C.
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Robust observer-controller for delay-differential systems

Proceedings of the 41st IEEE Conference on Decision and Control, 2002., 2003
A robust dynamic controller for delay differential equations is proposed. Robustness refers here to the fact that the exact value of the delay does not need to be known a priori, a situation often assumed in the literature on delay systems, but which is hardly realistic.
E. I. VERRIEST, O. SENAME, PEPE, PIERDOMENICO   +2 more
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On stability for a class of neutral delay-differential systems

Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148), 2001
This paper deals with the stability problem for a class of linear neutral delay-differential system. The time-delay is assumed constant and known. Delays dependent criteria, which are written in the form of linear matrix inequalities, are derived. Numerical examples indicate significant improvements over some existing results.
Bo Ni, Qing-Long Han
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Spectral Analysis for Delay Differential-Algebraic Systems

IFAC Proceedings Volumes, 2012
The aim of this paper is the study of the stability properties of a class of systems expressed by functional differential equations coupled with difference equations. Starting by the linear case, we extend the spectral projection methodology for Lossless systems by introducing an appropriate bilinear form.
Boussaada, Islam, Michiels, Wim, Niculescu, Silviu-Iulian   +2 more
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