TY  - BOOK
AU  - Mesterton-Gibbons,Mike
ED  - American Mathematical Society.
TI  - A primer on the calculus of variations and optimal control theory
T2  - Student mathematical library
SN  - 9780821847725
AV  - QA315 .M46 2009
PY  - 2009///]
CY  - Providence, R.I.
PB  - American Mathematical Society
KW  - Calculus of variations
KW  - Control theory
KW  - Mathematical optimization
N1  - 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
ER  -