An Algebraic Problem in Control Theory

development and implementation of an optimized control strategy for induction machine in an electric vehicle

in the area of automotive engineering there is a tendency to more electrification of power train. in this work control of an induction machine for the application of electric vehicle is investigated. through the changing operating point of the machine, adapting the rotor magnetization current seems to be useful to increase the machines efficiency. in the literature there are many approaches wh...

A Problem in Algebraic Number Theory

In this paper, I investigate when an algebraic number can be expressed in terms of algebraic numbers of smaller degree. First, I describe an algorithm to decide, given an irreducible polynomial P in Q[x], whether one of its roots α can be expressed as β + γ , where β and γ are roots of polynomials in Q[x] of degree strictly less than the degree of α. Then, I turn to generalizations such as when...

Effective Algebraic Analysis in Linear Control Theory

An Algebraic Theory

We give an algebraic formalization of SLD-trees and their abstractions (ob-servables). We can state and prove in the framework several useful theorems (AND-compositionality, correctness and full abstraction of the denotation, equivalent top-down and bottom-up constructions) about semantic properties of various observables. Observables are represented by Galois co-insertions and can be used to m...

An Algebraic Schwarz Theory

SCHWARZ THEORY 27 Algorithm 4.1 (Abstract Multiplicative Schwarz Method { Implementation Form) un+1 = MS(un; f) where the operation uNEW = MS(uOLD; f) is de ned as: Do k = 1; : : : ; J rk = IT k (f AuOLD) ek = Rkrk uNEW = uOLD + Ikek uOLD = uNEW End do. Note that the rst step through the loop in MS( ; ) gives: uNEW = uOLD + I1e1 = uOLD + I1R1IT 1 (f AuOLD) = (I I1R1IT 1 A)uOLD + I1R1IT 1 f: Con...