Mathematical Programming and Control Theory

Language: English

Published by Springer, Springer Okt 1978, 1978

0412155001 / 9780412155000

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This item is printed on demand - Print on Demand Titel. Neuware -In a mathematical programming problem, an optimum (maxi mum or minimum) of a function is sought, subject to con straints on the values of the variables. In the quarter century since G. B. Dantzig introduced the simplex method for linear programming, many real-world problems have been modelled in mathematical programming terms. Such problems often arise in economic planning - such as scheduling industrial production or transportation - but various other problems, such as the optimal control of an interplanetary rocket, are of similar kind. Often the problems involve nonlinear func tions, and so need methods more general than linear pro gramming. This book presents a unified theory of nonlinear mathe matical programming. The same methods and concepts apply equally to 'nonlinear programming' problems with a finite number of variables, and to 'optimal control' problems with e. g. a continuous curve (i. e. infinitely many variables). The underlying ideas of vector space, convex cone, and separating hyperplane are the same, whether the dimension is finite or infinite; and infinite dimension makes very little difference to the proofs. Duality theory - the various nonlinear generaliz ations of the well-known duality theorem of linear program ming - is found relevant also to optimal control, and the , PREFACE Pontryagin theory for optimal control also illuminates finite dimensional problems. The theory is simplified, and its applicability extended, by using the geometric concept of convex cones, in place of coordinate inequalities.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 176 pp. Englisch.

Seller Inventory # 9780412155000

Title
Mathematical Programming and Control Theory
Author
B. D. Craven
Publisher
Springer, Springer Okt 1978
Publication year
1978
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
0412155001
ISBN 13
9780412155000
Item weight
230 grams
Dimensions
216x140x10 mm

buchversandmimpf2000

Emtmannsberg, BAYE, Germany

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