Mathematical Programming and Control Theory

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Mathematical Programming and Control Theory

Mathematical Programming and Control Theory
B. D. Craven,
1978 (repr 2013) | ISBN-10: 0412155001, 0470264136 | 176 pages | PDF | 19,7 MB

Ina mathematical programming problem, an optimum (maximum or minimum) of a functionissought, subject to constraints onthe values of the variables.Inthe quarter century since G. B.Dantzig introducedthe simplex methodfor linear programming, manyreal-worldproblems have been modelled in mathematical programming terms.Such problems often ariseineconomic planning - such asscheduling industrial production or transportation - but various other problems, such asthe optimal control of aninterplanetaryrocket, are of similar kind . Oftenthe problems involve nonlinearfunctions, and soneed methods more generalthan linear programming.
This book presents a unifiedtheory of nonlinear mathematical programming. The same methods and concepts apply equallytononlinear programming problems with afinite number of variables, andto optimal control problems with e.g. a continuous curve (i.e.infinitely many variables)...

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Tags: Theory, Control, Programming, Mathematical
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