Moscow State Institute of Electronics and Mathematics

About: Moscow State Institute of Electronics and Mathematics is a education organization based out in Moscow, Russia. It is known for research contribution in the topics: Charge carrier & Electron. The organization has 448 authors who have published 603 publications receiving 3973 citations.

Neutral Stochastic Differential Delay Equations with Markovian Switching

Abstract: Neutral stochastic differential delay equations (NSDDEs) have recently been studied intensively (see Kolmanovskii, V.B. and Nosov, V.R., Stability and Periodic Modes of Control Systems with Aftereffect; Nauka: Moscow, 1981 and Mao X., Stochastic Differential Equations and Their Applications; Horwood Pub.: Chichester, 1997). Given that many systems are often subject to component failures or repairs, changing subsystem interconnections and abrupt environmental disturbances etc., the structure and parameters of underlying NSDDEs may change abruptly. One way to model such abrupt changes is to use the continuous‐time Markov chains. As a result, the underlying NSDDEs become NSDDEs with Markovian switching which are hybrid systems. So far little is known about the NSDDEs with Markovian switching and the aim of this paper is to close this gap. In this paper we will not only establish a fundamental theory for such systems but also discuss some important properties of the solutions e.g. boundedness and sta...

Spectral pyrometry (Review)

Abstract: In the emission spectra of many objects, there are regions where the intensity distribution is similar to the blackbody spectrum. This allows one to determine the temperature by recording the emission spectrum and comparing it to a Planck spectrum. Experimental or calculated data on the emissivity of such objects are not necessary because the temperature is determined as a parameter of the distribution observed. This property characterizes the emission spectra of gaseous and solid-phase flames, erosion plasmas of surface discharges, metals, semiconductors, dielectrics, micro- and nanoparticles, and heterogeneous media (powder mixtures and ceramics) at temperatures both lower and higher than the melting temperature. Spectrometers with photodetector arrays sensitive in the wavelength range of 200–1100 nm are used to record spectra. Such spectrometers allow spectrum recording and determination of the radiator temperature in the temperature range of 800 K–140 kK within a time of ∼1 ms. The specific features of the method, examples of its application, measurement characteristics, unsolved problems, and prospects are discussed in the review.

On the notion of gyrogroup

Abstract: It is shown that the gyrogroup [1] is just the well known left Bol loop with Bruck identity. This result has been announced in [12]. The other constructions of [1] are also discussed.