The paper investigates the design of a field programmable gate array based custom computer architecture solution for implementing model predictive control. The solution employs a primal logarithmic-barrier interior-point algorithm in order to handle actuator constraints. The solution also incorporates practical aspects of a control algorithm including state observation and data sampling. The re...

A system to measure light scattering from individual cells excited by an acoustic wave was designed, and tests were performed on live Jurkat cells. Cells passing in a laminar stream within a water bath were excited by a focused ultrasound pulse, while the scattered light from a laser beam was monitored at various scattering angles. The cells were modeled as viscoelastic liquid drops, which retu...

We consider the stability properties for thermoelastic Bresse system which describes the motion of a linear planar shearable thermoelastic beam. The system consists of three wave equations and two heat equations coupled in certain pattern. The two wave equations about the longitudinal displacement and shear angle displacement are effectively damped by the dissipation from the two heat equations...

In KEKB, which is a B-factory project at KEK, the bunch spacing is very short, only 2 ns, and the number of the bunches comes up to about 5000 per ring. In order to cure the instabilities due to the high beam current, we will use bunch feedback systems in KEKB rings. Recently we developed the new position detection system and made a prototype of the signal process system for the feedback system...

The motion of a charged particle over a conducting plate is damped by Ohmic resistance to image currents. This interaction between the particle and the plate must also produce decoherence, which can be detected by examining interference patterns made by diffracted particle beams which have passed over the plate. Because the current densities within the plate decay rapidly with the height of the...

We consider a three layer Rao-Nakra sandwich beam with distinct wave speeds. We prove that the eigenvectors form a Riesz basis for the natural energy space. In the damped case, we give precise conditions under which there is a uniform exponential decay of energy. We also consider the problem of boundary control using bending moment and lateral force control at one end. We prove that the space o...

The X-band linacs for the G/NLC (Global/Next Linear Collider) have evolved from the DDS (Damped Detuned Structure) series. The present accelerating structures are 60 cm in length and incorporate damping and detuning of the dipole modes which comprise the wakefield. In order to adequately damp the wakefield, frequencies of adjacent structures are interleaved. Limited analysis has been done previ...

We investigate the propagation of one-dimensional and two-dimensional (1D, 2D) Gaussian beams in the fractional Schrödinger equation (FSE) without a potential, analytically and numerically. Without chirp, a 1D Gaussian beam splits into two nondiffracting Gaussian beams during propagation, while a 2D Gaussian beam undergoes conical diffraction. When a Gaussian beam carries linear chirp, the 1D b...

Consumer products like foods contain numerous polymeric and particulate additives that play critical roles in maintaining their stability, quality and function. The resulting materials exhibit complex bulk and interfacial rheological responses, and often display a distinctive power-law response under standard rheometric deformations. These power-laws are not conveniently described using convent...

This chapter considers the boundary control of damped wave equations using a boundary measurement in a networked control system (NCS) setting. In this networked boundary control system, the induced delays can be lumped as the boundary measurement delay. The Smith predictor is applied to the networked boundary control problem and the instability problem due to large delays is solved and the sche...