Download or read book A Primer on the Calculus of Variations and Optimal Control Theory written by Mike Mesterton-Gibbons and published by American Mathematical Soc.. This book was released on 2009-01-01 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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-optional control A singular control problem A biological control problem Optimal control to a general target Navigational control problems State variable restrictions Optimal harvesting Afterword Solutions or hints for selected exercises Bibliography Index