Delay-dependent exponential stability of neutral stochastic delay systems [PDF]
, 2009 This paper studies stability of neutral stochastic delay systems by linear matrix inequality (LMI) approach. Delay dependent criterion for exponential stability is presented and numerical examples are conducted to verify the effectiveness of the proposed
Mao, X., Huang, L.
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Stability calculations for piecewise-smooth delay equations [PDF]
, 2008 This paper describes a new method for computing the stability of nonsmooth periodic orbits of piecewise-smooth dynamical systems with delay. Stability computations for piecewise-smooth dynamical systems without delay have previously been performed using ...
Barton, DAW
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SEIR epidemiological model with varying infectivity and infinite delay [PDF]
, 2008 A new SEIR model with distributed infinite delay is derived when the infectivity depends on the age of infection. The basic reproduction number R-0, which is a threshold quantity for the stability of equilibria, is calculated.
Röst, Gergely
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Reduction theories elucidate the origins of complex biological rhythms generated by interacting delay-induced oscillations. [PDF]
PLoS ONE, 2011 Time delay is known to induce sustained oscillations in many biological systems such as electroencephalogram (EEG) activities and gene regulations. Furthermore, interactions among delay-induced oscillations can generate complex collective rhythms, which ...
Ikuhiro Yamaguchi +4 more
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Null controllability of neutral system with infinite delays [PDF]
European Journal of Control, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Iyai Davies, Olivier C. L. Haas
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Boundedness in infinite delay systems
Journal of Mathematical Analysis and Applications, 1989 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Burton, T.A., Hering, R.H.
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Repellers in systems with infinite delay
Journal of Mathematical Analysis and Applications, 1989 A very important model for the interaction of species is a set of autonomous functional differential equations \[ (*)\quad x'(t)=f(x_ t),\quad t\geq 0, \] where x: \({\mathbb{R}}\to {\mathbb{R}}^ n\) and \(x_ t\) is defined for \(t\geq 0\) by \(x_ t(s)=x(t+s)\) for \(-\infty
Burton, T., Hutson, V.
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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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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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Delay-dependent robust stability of stochastic delay systems with Markovian switching [PDF]
, 2009 In recent years, stability of hybrid stochastic delay systems, one of the important issues in the study of stochastic systems, has received considerable attention. However, the existing results do not deal with the structure of the diffusion but estimate
Mao, X. +5 more
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