In this paper, we propose a direct solution method for optimal switching problems of one-dimensional diffusions. This method is free from conjectures about the form of the value function and switching strategies, or does not require the proof of optimality through quasi-variational inequalities. The direct method uses a general theory of optimal stopping problems for one-dimensional diffusions ...

A three-dimensional object has many possible representations inside a computer. Specifically, constructive solid geometry, boundary representation, and volumetric approximation techniques are commonly used to represent objects in solid geometric modeling (see [4]). Among the volumetric schemes are the octree [3] and the more recently developed switching-function representation [6] in which the ...

We study an optimal switching problem with a state constraint: the controller is only allowed to choose strategies that keep the controlled diffusion in a closed domain. We prove that the value function associated with this problem is the limit of value functions associated with unconstrained switching problems with penalized coefficients, as the penalization parameter goes to infinity. This co...

Optical Burst Switching (OBS) is a new paradigm for an all-optical Internet. It combines the best features of Optical Circuit Switching (OCS) and Optical Packet Switching (OPS) while avoiding the main problems associated with those networks. Namely, it offers good granularity, but its hardware requirements are lower than those of OPS. In a backbone network, low loss ratio is of particular impor...

In this paper, for the first time to our knowledge, we investigate the optical bi-stability in a compact parallel array of micro- ring resonators with 5μm radius, induced by optical nonlinearity. Due to the nature of perfect light confinement, resonance and accumulation process in a ring resonator, optical nonlinear effects, even at small optical power of a few milliwatts in this structure are ...

We represent switching activity in VLSI circuits using a graphical probabilistic model based on Cascaded Bayesian Networks (CBN’s). We develop an elegant method for maintaining probabilistic consistency in the interfacing boundaries across the CBN’s during the inference process using a tree-dependent (TD) probability distribution function. A tree-dependent (TD) distribution is an approximation ...

The structure–function relationships of a series of bistable [2]rotaxane and [2]pseudorotaxanebased devices have been evaluated across different length scales. The switching characteristics of bistable [2]rotaxanes and self-assembled [2]pseudorotaxanes, which can be controlled chemically, electrochemically, or photochemically, enable them to function as prototypes of molecular machines. The swi...

This article deals with input-to-state stability (ISS) of continuous-time switched nonlinear systems. Given a family of systems with exogenous inputs such that not all systems in the family are ISS, we characterize a new and general class of switching signals under which the resulting switched system is ISS. Our stabilizing switching signals allow the number of switches to grow faster than an a...

The performance of carbon nanotube field-effect transistors is analyzed numerically, using the non-equilibrium Green's function formalism. The effect of electron-phonon scattering on both the DC and switching response of these devices is studied. For the calculation of the switching response, the quasi-static approximation is assumed. The role of the electron-phonon coupling strength and phonon...