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APPROXIMATING REACHABLE SETS FOR A CLASS OF LINEAR SYSTEMS SUBJECT TO BOUNDED CONTROL.GAYEK, JONATHAN EDWARD. January 1984 (has links)
A method is proposed for approximating the reachable set from the origin for a class of n first order linear ordinary differential equations subject to bounded control. The technique involves decoupling the system equations into 1 and 2dimensional linear subsystems, and then finding the reachable set of each of the subsystems. Having obtained bounds on each of the decoupled state variables, a ndimensional parallelpiped is constructed which contains the reachable set from the origin for the original system. Several illustrative examples are presented for the case where the control is a scalar. The technique is also compared to a Lyapunov approach of approximating the reachable set in a simple 2dimensional example.

2 
Some results of abstract set theoryUnknown Date (has links)
"The purpose of this paper is to present some of the elementary results of abstract set theory. This will include the definition of an 'order' relation for cardinal numbers, and a discussion of whether or not this definition defines a simple ordering of the cardinals. Although we will not answer this question fully, in the course of the discussion a key theorem (the Bernstein Theorem) will arise. The remainder of the paper will be devoted to a discussion of this theorem, its proof, a generalization due to Banach, a discussion of this proof, and a generalization of Banach's Theorem by Ky Fan"Introduction. / Typescript. / "February, 1958." / "Submitted to the Graduate Council of Florida State University in partial fulfillment of the requirements for the degree of Master of Science." / Advisor: Paul J. McCarthy, Professor Directing Paper. / Includes bibliographical references (leaf 25).

3 
The structure of preordered sets and their topological properties /Bu, Howshone. January 1972 (has links)
Thesis (M.S.)Oregon State University, 1972. / Typescript (photocopy). Includes bibliographical references. Also available on the World Wide Web.

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CONNECTED PACKINGS OF COMPACT SETSCarlstedt, Linda Marie, 1941 January 1968 (has links)
No description available.

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Complete extensions of ordered setsBallinger, Bruce T. (Bruce Thomas) January 1969 (has links)
No description available.

6 
The covering of sets of constant width.Cohn, Michael James. January 1972 (has links) (PDF)
Thesis (M.Sc.)  University of Adelaide, Dept. of Pure Mathematics, 1972.

7 
La philosophie mathématique et la théorie des ensembles ...Tseng, Tingho. January 1938 (has links)
ThèseUniversité de Paris. / Bibliography: p. [159162].

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Mengen und Mächtigkeiten eine erkenntniskritische Studie /Sganzini, Carlo. January 1913 (has links)
Thesis (doctoral)Universität Bern, 1913. / Includes bibliographical references (p. [137]138).

9 
Adding total indiscernibles to models of set theoryMorris, Douglass Bert, January 1900 (has links)
Thesis (Ph. D.)University of WisconsinMadison, 1970. / Typescript. Vita. eContent providerneutral record in process. Description based on print version record. Includes bibliography.

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La philosophie mathématique et la théorie des ensembles ...Tseng, Tingho. January 1938 (has links)
ThèseUniversité de Paris. / Bibliography: p. [159][162].

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