How Much Lookahead is Needed to Win Infinite Games? [PDF]
, 2017 Delay games are two-player games of infinite duration in which one player may delay her moves to obtain a lookahead on her opponent's moves. For $\omega$-regular winning conditions it is known that such games can be solved in doubly-exponential time and ...
Klein, Felix, Zimmermann, Martin
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Discretisation of an infinite delay equation [PDF]
Mathematics of Computation, 2006 The paper considers delay differential equations with an infinite number of delays, tending to infinity: \[ \dot x(t)=ax(t)+\sum_{k=1}^{\infty}b_kx(t-\tau_k), \] where \(\tau_k\to\infty\) for \(k\to\infty\). The sequence \(b_k\) is assumed to be in \(l^1\) and the initial value (a function on \((-\infty,0]\)) is continuous but not necessary bounded or ...
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Lie group classification of first-order delay ordinary differential equations
, 2017 A group classification of first-order delay ordinary differential equation (DODE) accompanied by an equation for delay parameter (delay relation) is presented.
Dorodnitsyn, Vladimir A. +3 more
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Global Stability for an SEIR Epidemiological Model with Varying Infectivity and Infinite Delay [PDF]
, 2009 A recent paper (Math. Biosci. and Eng. (2008) 5:389-402) presented an SEIR model using an infinite delay to account for varying infectivity. The analysis in that paper did not resolve the global dynamics for R0 \u3e 1.
McCluskey, C. Connell
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Stability and Boundedness of Stochastic Volterra Integrodifferential Equations with Infinite Delay
Journal of Applied Mathematics, 2013 We make the first attempt to discuss stability and boundedness of solutions to stochastic Volterra integrodifferential equations with infinite delay (IDSVIDEs).
Chunmei Zhang, Wenxue Li, Ke Wang
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Nonlinear volterra equations with infinite delay
Monatshefte f�r Mathematik, 1977 This paper is concerned with the existence and stability of nonlinear Volterra equations which have infinite delay and are of the form: $$x (\varphi ) (t) = W (t, \tau ) \varphi (0) + \int\limits_\tau ^t {W (t, s)} F(s,x_s (\varphi )) ds, x_\tau (\varphi ) = \varphi \in C_u .$$
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Imaginary Potential as a Counter of Delay Time for Wave Reflection from a 1D Random Potential [PDF]
, 1999 We show that the delay time distribution for wave reflection from a one-dimensional random potential is related directly to that of the reflection coefficient, derived with an arbitrarily small but uniform imaginary part added to the random potential ...
A. Comtet +23 more
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Improved Delay Estimates for a Queueing Model for Random Linear Coding for Unicast [PDF]
, 2009 Consider a lossy communication channel for unicast with zero-delay feedback. For this communication scenario, a simple retransmission scheme is optimum with respect to delay.
Diez, Angela I. Barbero +2 more
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Approximate Controllability of Fractional Neutral Evolution Equations in Banach Spaces
Abstract and Applied Analysis, 2013 We discuss the approximate controllability of semilinear fractional neutral differential systems with infinite delay under the assumptions that the corresponding linear system is approximately controllable.
N. I. Mahmudov
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Stability of Distributed Delay System with Infinite Support [PDF]
2018 IEEE Conference on Decision and Control (CDC), 2018 This paper is devoted to the stability analysis of infinite distributed delay systems. The basic idea is to model the original time-delay system into an interconnected feedback system in order to use robust analysis and especially quadratic separation. This approach has been widely used to study classical pointwise time-delay system.
Ariba, Yassine +3 more
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