Information Processing in Neuron with Exponential Distributed Delay

Exponential Decay in Thermoelastic Systems with Internal Distributed Delay

In this paper, we are concerned with the following problem  autt(x, t)− duxx(x, t) + βθx(x, t) = 0, in (0, L)× (0,∞) bθt(x, t)− k1θxx(x, t)− ∫ τ 2 τ 1 k2(s)θxx(x, t− s)ds+ βuxt(x, t) = 0, in (0, L)× (0,∞) u(x, 0) = u0(x), ut(x, 0) = u1(x), θ(x, 0) = θ0(x), x ∈ (0, L) θx(x,−t) = f0(x, t), x ∈ (0, L), t ∈ (0, τ 2), (1.1) a thermoelastic system with a distributed delay associated with initi...

Exponential stability of fractional stochastic differential equations with distributed delay

*Correspondence: [email protected] School of Statistics, Jiangxi University of Finance and Economics, Nanchang, Jiangxi 330013, China Abstract Equations driven by fractional Brownian motion are attracting more and more attention. This paper considers fractional stochastic differential equations with distributed delay. With the variation-of-constants formula, an explicit expression and asymptotic ...

Spiking Activity of a LIF Neuron in Distributed Delay Framework

Distributed Estimation, Information Loss and Exponential Families

Distributed learning of probabilistic models from multiple data repositories with minimum communication is increasingly important. We study a simple communication-efficient learning framework that first calculates the local maximum likelihood estimates (MLE) based on the data subsets, and then combines the local MLEs to achieve the best possible approximation to the global MLE given the whole d...

Delay-Dependent Exponential Stability of Linear Distributed Parameter Systems

Exponential stability analysis via Lyapunov-Krasovskii method is extended to linear time-delay systems in a Hilbert space. The operator acting on the delayed state is supposed to be bounded. The system delay is admitted to be unknown and time-varying with an a priori given upper bound on the delay. Sufficient delay-dependent conditions for exponential stability are derived in the form of Linear...