책 이미지
책 정보
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 최적화
· ISBN : 9780521154543
· 쪽수 : 816쪽
목차
Part I. Finite Dimensional Control Problems: 1. Calculus of variations and control theory; 2. Optimal control problems without target conditions; 3. Abstract minimization problems: the minimum principle for the time optimal problem; 4. Abstract minimization problems: the minimum principle for general optimal control problems; Part II. Infinite Dimensional Control Problems: 5. Differential equations in Banach spaces and semigroup theory; 6. Abstract minimization problems in Hilbert spaces: applications to hyperbolic control systems; 7. Abstract minimization problems in Banach spaces: abstract parabolic linear and semilinear equations; 8. Interpolation and domains of fractional powers; 9. Linear control systems; 10. Optimal control problems with state constraints; 11. Optimal control problems with state constraints: The abstract parabolic case; Part III. Relaxed Controls: 12. Spaces of relaxed controls: topology and measure theory; 13. Relaxed controls in finite dimensional systems: existence theory; 14. Relaxed controls in infinite dimensional spaces: existence theory.