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Mesterton-Gibbons, Mike

A primer on the calculus of variations and optimal control theory / Mike Mesterton-Gibbons - xiii, 252 pages : illustrations ; 22 cm - Student mathematical library ; v. 50 . - Student mathematical library, volume 50 .

Includes bibliographical references and index

-- The brachistochrone -- The fundamental problem. Extremals -- The insufficiency of extremality -- Important first integrals -- The du Bois-Reymond equation -- The corner conditions -- Legendre's necessary condition -- Jacobi's necessary condition -- Weak versus strong variations -- Weierstrass's necessary condition -- The transversality conditions -- Hilbert's invariant integral -- The fundamental sufficient condition -- Jacobi's condition revisited -- Isoperimetrical problems -- Optimal control problems -- Necessary conditions for optimality -- Time-optimal control -- A singular control problem -- A biological control problem -- Optimal control to a general target -- Navigational control problems -- State variable restrictions -- Optimal harvesting

ISBN: 9780821847725 0821847724

LCCN: 2009007701

Subjects--Topical Terms:
Calculus of variations
Control theory
Mathematical optimization

LC Class. No.: QA315 / .M46 2009