We study stationary processes given as solutions to SDEs driven by fractional Brownian motion (FBM). This class includes the fractional Ornstein-Uhlenbeck process (FOUP), but is a much richer class of processes, which can be obtained by state space transformations of the FOUP. An explicit formula in terms of Euler’s Γ-function describes the asymptotic behaviour of the covariance function of FOU...

This paper is concerned with the analysis and design of discrete-time linear systems subject to nested saturation functions. By utilizing a new compact convex hull representation of the saturation nonlinearity, a linear matrix inequalities (LMIs) based condition is obtained for testing the local and global stability of the considered nonlinear system. The estimation of the domain of attraction ...

Until now, several methods have been developed to compute the domains of attraction for stationary points of polynomial non-linear systems. For the case of non-polynomial systems, though, this question is still open. In this paper a new method, based on Lyapunov’s stability theory and the theorem of Ehlich and Zeller, is presented for the computation of domains of attraction of non-polynomial s...

the positions 0 = B0 ≤ B1 ≤ B2 ≤ ... ≤ Bn ≤ ... In this last case it moves necessarily up : Bn denotes the position of the nth reflecting barrier. The barriers are assumed to be thrown at random on N, and more precisely the intervals Xn between the barriers are assumed to be i.i.d.. We prove, giving thus a complete answer to a question of Molchanov, that there is homogeneization for xt iff (q/p...

Development of neuronal circuits is controlled by evolutionarily conserved axon guidance molecules, including Slits, the repulsive ligands for roundabout (Robo) receptors, and Netrin-1, which mediates attraction through the DCC receptor. We discovered that the Robo3 receptor fundamentally changed its mechanism of action during mammalian evolution. Unlike other Robo receptors, mammalian Robo3 is...

Introduction: Today the market of medical tourism is growing as one of the competitive and profitable industries in the world. The aim of this study was to determine medical tourist attraction in Tehran hospitals. Methods: This is a descriptive study which was carried out in 8 hospitals of Tehran in 2012. 195 people from the managing boards of these hospi...

The urgent need to provide capital from developing countries and improve the level of technology has made it necessary to attract foreign investment. FDI can respond to this need as an inflow of capital, technology, and technical know-how. The present study investigated the role of FDI attraction determinants through a technology transfer approach comprehensively and coherently. This research w...