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 ...

Complete structural theorems for quasiasymptotics of distributions are presented in this article. For this, asymptotically homogeneous functions and associate asymptotically homogeneous functions at infinity with respect to a slowly varying function are employed. The proposed analysis, based on the concept of asymptotically and associate asymptotically homogeneous functions, allows to obtain ea...

The cut-on/cut-off transition of a slowly varying acoustic mode in a slowly varying hard-walled duct with irrotational isentropic mean flow is studied. The usual turning point behaviour was found.

The slowly varying amplitude approximation that is widely adopted in nonlinear optics is appraised by the transfer-matrix method. Rigorous solution for second harmonic generation in nonlinear optical superlattices shows that this approximation is invalid when the reflection of the second harmonic ~SH! wave from the crystal interface cannot be neglected. When the modulation period of the superla...

We study the non-stationary stochastic multiarmed bandit (MAB) problem and propose two generic algorithms, namely, the limited memory deterministic sequencing of exploration and exploitation (LM-DSEE) and the SlidingWindow Upper Confidence Bound# (SW-UCB#). We rigorously analyze these algorithms in abruptly-changing and slowlyvarying environments and characterize their performance. We show that...

In this paper, the problem of persistent identification and adaptive stabilization of time-varying systems is studied within the framework of deterministic worst case identification and slow H1 adaptation. The plants under consideration are unstable and time-varying and cannot be stabilized by a fixed robust controller. Starting from an initial well-designed operating point, the controller must...

It has been suggested that adolescents process rewards differently from adults, both cognitively and affectively. In an fMRI study we recorded brain BOLD activity of adolescents (age range = 14-15 years) and adults (age range = 20-39 years) to investigate the developmental changes in reward processing and decision-making. In a probabilistic reversal learning task, adolescents and adults adapted...

Integrating out fast varying quantum fluctuations about Yang–Mills fields Ai and A4, we arrive at the effective action for those fields at high temperatures. Assuming that the fields Ai and A4 are slowly varying but that the amplitude of A4 is arbitrary, we find a nontrivial effective gauge invariant action both in the electric and magnetic sectors. Our results can be used for studying correlat...