Results 231 to 240 of about 195,204 (265)

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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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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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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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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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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Stochastic Nicholson-type delay differential system

International Journal of Control, 2019
Focusing on Nicholson-type delay differential system in random environments, we introduce the stochastic system to model the dynamics of Nicholson's blowflies population sizes with mortality rates ...
Wentao Wang, Ce Shi, Wei Chen
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First-order representation of delay-differential systems

2001 European Control Conference (ECC), 2001
We show that a delay-differential system, i.e. a dynamical system that is defined by a set of equations involving differentiation and both punctual and distributed delays, can be written in a pseudo-state space form, called also first- order representation, which generalizes the state space form for purely differential systems and employs only first ...
Paolo Vettori, Sandro Zampieri
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Stabilization of linear, autonomous differential-delay systems

IEEE Transactions on Automatic Control, 1973
Sufficient conditions for a linear, autonomous differential delay system to be stabilizable are established. The proof is constructive in that a readily computable stabilizing feedback control law is generated.
Nazaroff, Gregory J., Hewer, Gary A.
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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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