Graphene quantum dot with Maxwell fish eye potential energy profile is studied. A quasiclassical approximation used given that a slowly varying function of coordinates. Near the zero spectrum electron macroscopically degenerates. All trajectories are closed circles classified by angular momentum and an additional integral motion. Provided complete filling lower Dirac zone, universal value for H...

The study of dynamics of gene regulatory networks is of increasing interest in systems biology. A useful approach to the study of these complex systems is to view them as decomposed into feedback loops around open loop monotone systems. Key features of the dynamics of the original system are then deduced from the input-output characteristics of the open loop system and the sign of the feedback....

Let L(x) be a slowly varying function at both zero and infinity. The existence of the non-commutative neutrix convolution product of the distributions x+L(x) and x μ − is proved, where λ, μ are real numbers such that λ, μ / ∈ −N and λ+μ / ∈ −Z . Some other products of distributions are obtained. AMS Mathematics Subject Classification (2000): 46F10

The optimal worst-case uncertainty that can be achieved by identification depends on the observation time. In the first part of the paper, this dependence is evaluated for selected linear time invariant systems in the 2’ and H” norms and shown to be derivable from a monotonicity principle. The minimal time required is shown to depend on the metric complexity of the a priori information set. Two...

This report forms, in two parts, deliverable D2.14 of the TurboNoiseCFD project. It describes the recommended innovative “triple plane pressure” in-duct matching strategy (TPP) at inlet and bypass duct side, and it describes in detail the newly developed and favourably tested CAA code for the propagation and radiation problem at the exhaust side. Due to the presence of the jet, this solution is...

The paper deals with an approximate analysis of non-linear oscillation problems with slowly varying system parameters. From the differential equations for amplitude and phase, set up by the method of variation of parameters, the approximate solutions are obtained by using the generalized averaging method of Sinha and Srinivasan based on ultraspherical polynomial expansions. The Bogoliubov-Mitro...

Performance analysis for slowly varying spatiotemporal systems is presented in the case when the controller design is based on frozen spatially and temporally invariant descriptions of the plant. This approach generalizes the results developed for the standard case for slowly time-varying systems. We show that the l∞ to l∞ performance of such systems cannot be much worse than that of the frozen...

To date, most of the available results in learning control have been utilized in applications where a robot is required to execute the same motion over and over again, with a certain periodicity. This is due to the requirement that all learning algorithms assume that a desired output is given a priori over the time duration t in [0,T]. For applications where the desired outputs are assumed to c...

Copyright ©2009 by ASME ABSTRACT Laminar fully developed flow in streamwise-periodic microchannels of rectangular cross-section has been studied in this work. Based on the lubrication approximation, an analytical approach is proposed for the frictional flow resistance. Using the analytical model developed for straight channels of arbitrary cross-section, compact models are developed for linear ...