Optimal control of general dynamic systems under realistic constraints on input signals and state variables is an important problem area in control theory. Many practical control problems can be formulated as optimization tasks, and this leads toa significant demand for efficient numerical solution algorithms. Several such algorithms have been developed, and they are typically derived from a dynamic programming view point. In this thesis a differentapproach is taken. The discretetime dynamic optimization problem is formulated as a static one, with the inputs as free variables. Newton's approach to solving such a problem with constraints, also known as Wilson's method, is then consistently pursued, anda algorithm is developed that isa true Newton algorithm for the problem, at the same time as the inherent structure is utilized for efficient calculations. An advantage with such an approach is that global and local convergence properties can be studied in a familiar framework. The algorithm is tested on several examples and comparisons to other algorithms are carried out. These show that the Newton algorithm performs well and is competitive with other methods. lt handles state variable constraints in a direct and efficient manner, and its practical convergence properties are robust. A general algorithm for !arge scale static problems is also developed in the thesis, and it is tested on a problem with load distribution in an electrical power network.

Thesis (S.T.B.)--Biblical Seminary in New York, 1953. / Bibliography: leaves 56-58.

Würzburg, Univ., Diss., 2008

Thesis (Ph. D.)--Columbia University, 1927. / Without thesis note. Thesis note on label mounted on t.p. Bibliography: p. [236]-250.

Thesis (Ph. D.)--Columbia University, 1927. / Without thesis note. Thesis note on label mounted on t.p. Bibliography: p. [236]-250.

Würzburg, Univ., Diss., 2009.

München, Techn. Univ., Diss., 2010.

Thesis (M.S.)--Worcester Polytechnic Institute. / Keywords: bicgstab, cgs, gmres, NITSOL, Newtons Method, nonlinear systems. Includes bibliographical references (p. 53).

Thesis (Ed.M.)--Boston University / The purpose of this study is the construction and evaluation of a teacher-made, highly, but not exclusively, objective type test in the field of social studies. Such a test would primarily attempt to measure the retention of basic, factual •terial as prescribed in the Newton course of study of Canada for grade five in the Newton Public Schools, Newton, llassachusetts. It would also include a sampling of items designed to measure application of facts by alluding te higher mental processes and critical thinking.

<p> Since Newton's definition of viscosity does not lead to a useful description of non-Newtonian flow, two other model liquids, the Maxwell liquid and the Prandtl-Eyring liquid are discussed. Equations describing the flow behaviour of these liquids in narrow capillaries are derived and discussed. </p> <p> A thorough analysis is given of corrections that are, or may be, necessary in capillary viscometry, and the influence of non-Newtonian flow on these corrections is discusses, both for cylindrical and spherical bulbs. </p> <p> The significance of measurements of non-Newtonian flow in dilute solutions of macromolecules is discussed in terms of recent theories. It is shown that a capillary viscometer has inherent limitations for such measurements, but that a properly designed capillary viscometer can give precise and reliable data at shear rates down to 50 sec^-1, provided that the system is not too shear-dependent. </p> <p> A new variable shear capillary viscometer-- a modification of the Ubbelohde suspended level viscometer-- is describes. It was designed to be rugged, convenient and precise, to eliminate or minimize the kinetic energy correction and surface tenison effects, and to permit dilution of a solution while in the instrument. Three different viscometers of this type have been constructed, calibrated and tested, and proved sound in design and convenient in use. </p> <p> The usefulness of the viscometers has been demonstrated in three diverse investigations: (i) the shear dependence in aqueous solutions of a high molecular weight dextran, (ii) the temperature dependence of the zero-shear intrinsic viscosity in a good solvent of a very high molecular weight fraction of polystrene, (iii) the shear dependence of the interaction coefficient k' in the systems polystyrene-toluene and poly(n-octyl-methacrylate). </p> / Thesis / Master of Science (MSc)