内容

目次

Part I. Finite Dimensional Control Problems: 1. Calculus of variationsand control theory; 2. Optimal control problems without target conditions; 3.Abstract minimization problems: the minimum principle for the time optimalproblem; 4. Abstract minimization problems: the minimum principle for generaloptimal control problems; Part II. Infinite Dimensional Control Problems: 5.Differential equations in Banach spaces and semigroup theory; 6. Abstractminimization problems in Hilbert spaces: applications to hyperbolic controlsystems; 7. Abstract minimization problems in Banach spaces: abstractparabolic linear and semilinear equations; 8. Interpolation and domains offractional powers; 9. Linear control systems; 10. Optimal control problemswith state constraints; 11. Optimal control problems with state constraints:The abstract parabolic case; Part III. Relaxed Controls: 12. Spaces ofrelaxed controls: topology and measure theory; 13. Relaxed controls in finitedimensional systems: existence theory; 14. Relaxed controls in infinitedimensional spaces: existence theory.