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| Document Type: | Book |
|---|---|
| All Authors / Contributors: |
Mike Mesterton-Gibbons |
| ISBN: | 9780821847725 0821847724 |
| OCLC Number: | 310959874 |
| Description: | xiii, 252 p. : ill. ; 22 cm. |
| Contents: | 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 -- Jocobi'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. |
| Series Title: | Student mathematical library, v. 50. |
| Responsibility: | Mike Mesterton-Gibbons. |
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