The Scattering Matrix: Normalized to Complex n-Port Load Networks

Coordinated Science Laboratory was formerly known as Control Systems LaboratoryContract DA-28-043-AMC-00073(E

Optimal Matching of Linear Networks

Coordinated Science Laboratory was formerly known as Control Systems LaboratoryContract DA-36-039-AMC-02208(E

Distributed Network Synthesis and Approximation in the Time Domain

Coordinated Science Laboratory was formerly known as Control Systems LaboratoryContract DA-28-043-AMC-00073(E

The Euler-Poisson Equation and Optimal Linear Control

Coordinated Science Laboratory was formerly known as Control Systems LaboratoryContract DA-36-039-TR US AMC 02208(E

Optimal Matching of Nonlinear n-Port Networks

Coordinated Science Laboratory was formerly known as Control Systems LaboratoryContract DA-28-043-AMC-00073(E

Optimal Singular Solution for Linear, Multi-Input Systems

Coordinated Science Laboratory was formerly known as Control Systems LaboratoryContract DA-36-039-AMC 02208(E

Optimal Linear Switching for Singular Linear Systems

Coordinated Science Laboratory was formerly known as Control Systems LaboratoryContract DA-36-039-AMC 02208(E

Sensitivity Considerations in Optimal System Design

Coordinated Science Laboratory was formerly known as Control Systems LaboratoryContract DA-28-043-AMC-00073(E

Non-stoichiometric oxide and metal interfaces and reactions

We have employed a combination of experimental surface science techniques and density functional calculations to study the reduction of TiO2(110) surfaces through the doping with submonolayer transition metals. We concentrate on the role of Ti adatoms in self doping of rutile and contrast the behaviour to that of Cr. DFT+U calculations enable identification of probable adsorption structures and their spectroscopic characteristics. Adsorption of both metals leads to a broken symmetry and an asymmetric charge transfer localised around the defect site of a mixed localised/delocalised character. Charge transfer creates defect states with Ti 3d character in the band gap at similar to 1-eV binding energy. Cr adsorption, however, leads to a very large shift in the valence-band edge to higher binding energy and the creation of Cr 3d states at 2.8-eV binding energy. Low-temperature oxidation lifts the Ti-derived band-gap states and modifies the intensity of the Cr features, indicative of a change of oxidation state from Cr3+ to Cr4+. Higher temperature processing leads to a loss of Cr from the surface region, indicative of its substitution into the bulk

Piecewise linear asymptotic waveform evaluation for transient simulation of electronic circuits

A general purpose circuit simulation program, PL-AWE (piecewise linear asymptotic waveform evaluator) is developed especially for the analysis of VLSI circuits. PL-AWE uses the asymptotic waveform evaluation (AWE) technique, which is a new method to analyze linear(ized) circuits, and piecewise-linear (PL) models to represent nonlinear elements. AWE employs a form of Padeapproximation rather than numerical integration to approximate the behavior of linear(ized) circuits in either the time or the frequency domain. The authors discuss the internal workings of the program, and indicate its effectiveness in terms of several illustrative examples