In this paper, the existence of mild solutions for the fractional differential equations of neutral type with infinite delay is obtained under the conditions in respect of the Kuratowski’s measure of noncompactness. As an application, the existence of mild solution for some integrodifferential equation is obtained. keywords: fractional differential equation, neutral differential equation, mild ...

We consider a problem of optimal control of an infinite horizon system governed by forward-backward stochastic differential equations with delay. Sufficient and necessary maximum principles for optimal control under partial information in infinite horizon are derived. We illustrate our results by an application to a problem of optimal consumption with respect to recursive utility from a cash fl...

Wemake the first attempt to discuss stability and boundedness of solutions to stochastic Volterra integrodifferential equations with infinite delay (IDSVIDEs). By the Lyapunov-Krasovskii functional approach, we get kinds of sufficient criteria for stability and boundedness of solutions to IDSVIDEs. The main innovation here is that stochastic systems with infinite delay can retain stability and ...

We present an analysis comparing the thermal noise in Fabry-Perot and delay-line interferometers with half-infinite mirrors. With a center to center spot spacing of at least twice the Gaussian beam spot size a delay line produces significantly less phase noise than a comparable Fabry-Perot interferometer for the case of half infinite mirrors at frequencies where test mass thermal noise usually ...

Abstract—In this paper, the problem of stability and stabilization for neutral delay-differential systems with infinite delay is investigated. Using Lyapunov method, new delay-independent sufficient condition for the stability of neutral systems with infinite delay is obtained in terms of linear matrix inequality (LMI). Memory-less state feedback controllers are then designed for the stabilizat...

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We analyze the expected delay for infinite precision arithmetic codes, and suggest a practical implementation that closely approximates the idealized infinite precision model.

A procedure is developed to design IIR synthesis lters in a multirate lter bank. The lters minimize thè 2-induced norm of the error system between the multirate lter bank and a desired pure time-delay system. This criterion is reduced to one of H 1 optimization, for which there is ready-made software.

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