Results 261 to 270 of about 700,958 (287)
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Stochastic Nicholson-type delay differential system
International Journal of Control, 2019Focusing 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), 2001We 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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State‐space realizations of delay‐differential systems
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1998AbstractDelay‐differential equations with commensurate point delays are considered in an input‐output‐setting. A criterion is given for the realizability of such a system as a first‐order time‐delay system.
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Stabilization of linear, autonomous differential-delay systems
IEEE Transactions on Automatic Control, 1973Sufficient 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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Robust stability of neutral delay differential systems
Automatica, 1994Abstract In this paper we consider the robust stability problem for a neutral delay-differential system where the characteristic equations involve a polytope of quasi-polynomials. First, the ‘Edge theorem’ is developed for robust stability analysis of a polytope of neutral quasi-polynomials.
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Linear Delay Differential Systems
1977Chapter IV exploited the nice properties of linear systems of ordinary differential equations. We shall now show how at least some of these properties carry over to linear systems of delay differential equations.
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On the stability of delay-differential systems in the behavioral framework
IEEE Transactions on Automatic Control, 2001Here, properties of the structure of delay-differential systems are studied. For such systems the notion of autonomy is introduced. Necessary and sufficient conditions for asymptotic and exponential stability of autonomous systems are presented.
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Stability of delay-differential systems in the behavioral framework
Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334), 2000In the behavioral approach, a (linear time-invariant) delay-differential system is naturally introduced as a continuous-time system whose dynamics is governed by a set of delay-differential equations, involving both pointed and distributed delay operators.
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Stochastic Nicholson-type delay differential system
International Journal of Control, 2021Ce Shi, Wei Chen
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Exponential stability for a system of second and first order delay differential equations
Applied Mathematics Letters, 2022Elena Braverman
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