This paper is concerned with a linear quadratic optimal control problem of delayed backward stochastic differential equations. An explicit representation derived for the control, which feedback entire past history and expected value future state trajectory in short period time. To obtain feedback, new class Riccati equations delayed-advanced forward-backward are introduced. Furthermore, unique ...

Three experiments tested whether and when exposure to counterstereotypic ingroup members enhances women’s implicit leadership self-concept. Participants read about professional women leaders framed as similar to versus different from most women (Experiment 1) or having the same versus different collegiate background as participants (Experiment 3). Experiment 2 manipulated similarity by giving f...

This comparative analysis of teacher-student interaction in two different instructional settings at the elementary-school level (18.3 hr in French immersion and 14.8 hr Japanese immersion) investigates the immediate effects of explicit correction, recasts, and prompts on learner uptake and repair. The results clearly show a predominant provision of recasts over prompts and explicit correction, ...

The problem of stabilization and trajectory tracking of feedback linearizable systems in the presence of input saturation is considered in this paper. The need to perform output tracking for nonlinear systems dictates the choice of feedback linearization in our control design. Explicit characterization of the space of feasible trajectories that can be tracked using bounded inputs is provided.

The increasing reliance of people on computers for daily tasks has resulted in a vast number of digital documents. Search engines were once luxury tools for quickly scanning a set of documents but are now quickly becoming the only practical way to navigate through this sea of information. Traditionally, search engine results are based upon a mathematical formula of document relevance to a searc...

It is shown that every small-time locally controllable system in the plane can (locally) be asymptotically stabilized by employing locally Hölder continuous feedback laws, as essentially was conjectured by E. Sontag. An explicit algorithm for the construction of such feedback laws is given.

Skilled typing is controlled by two hierarchically structured processing loops (Logan & Crump, 2011): The outer loop, which produces words, commands the inner loop, which produces keystrokes. Here, we assessed the interplay between the two loops by investigating how visual feedback from the screen (responses either were or were not echoed on the screen) and the hands (the hands either were or w...