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책 정보
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 최적화
· ISBN : 9780521495028
· 쪽수 : 512쪽
목차
Introduction; Acknowledgments; Part I. Reachable Sets and Controllability: 1. Basic formalism and typical problems; 2. Orbits of families of vector fields; 3. Reachable sets of Lie-determined systems; 4. Control affine systems; 5. Linear and polynomial control systems; 6. Systems on Lie groups and homogenous spaces; Part II. Optimal Control Theory: 7. Linear systems with quadratic costs; 8. The Riccati equation and quadratic systems; 9. Singular linear quadratic problems; 10. Time-optimal problems and Fuller's phenomenon; 11. The maximum principle; 12. Optimal problems on Lie groups; 13. Symmetry, integrability and the Hamilton-Jacobi theory; 14. Integrable Hamiltonian systems on Lie groups: the elastic problem, its non-Euclidean analogues and the rolling-sphere problem; References; Index.