Infinite dimensional linear control systems : the time optimal and norm optimal problems /: the time optimal and norm optimal problems. (2005)

• Record Type: Book
• Further Information: Note: H.O. Fattorini.
• Other Names: Fattorini, H. O (Hector O.), 1938-
• Contents: 1: INTRODUCTION: 1.1 Finite dimensional systems: the maximum principle -- 1.2. Finite dimensional systems: existence and uniqueness -- 1.3. Infinite dimensional systems -- 2: SYSTEMS WITH STRONGLY MEASURABLE CONTROLS, I -- 2.1. The reachable space and the bang-bang property -- 2.2. Reversible systems -- 2.3. The reachable space and its dual, I -- 2.4. The reachable space and its dual, II -- 2.5. The maximum principle -- 2.6. Vanishing of the costate and nonuniqueness for norm optimal controls -- 2.7. Vanishing of the costate for time optimal controls -- 2.8. Singular norm optimal controls -- 2.9. Singular norm optimal controls and singular functionals -- 3: SYSTEMS WITH STRONGLY MEASURABLE CONTROLS, II: 3.1. Existence and uniqueness of optimal controls -- 3.2. The weak maximum principle and the time optimal problem -- 3.3. Modeling of parabolic equations -- 3.4. Weakly singular extremals -- 3.5. More on the weak maximum principle -- 3.6. Convergence of minimizing sequences and stability of optimal controls -- 4: OPTIMAL CONTROL OF HEAT PROPAGATION: 4.1. Modeling of parabolic equations -- 4.2. Adjoints -- 4.3. Adjoint semigroups -- 4.4. The reachable space -- 4.5. The reachable space and its dual, I -- 4.6. The reachable space and its dual, II -- 4.7. The maximum principle -- 4.8. Existence, uniqueness and stability of optimal controls -- 4.9. Examples and applications -- 5: OPTIMAL CONTROL OF DIFFUSIONS -- 5.1. Modeling of parabolic equations -- 5.2. Dual spaces -- 5.3. The reachable space and its dual -- 5.4. The maximum principle -- 5.5. Existence of optimal controls; uniqueness and stability of supports -- 5.6. Examples and applications -- 6: APPENDIX: 6.1 Self adjoint operators, I -- 6.2 Self adjoint operators, II -- 6.3 Related research.
• Publisher Details: Place of publication not identified : North Holland
• Publication Date: 2005
• Extent: 1 online resource (332 pages)
• Subjects: 629.8; Control theory; Calculus of variations; Linear control systems; Mathematical optimization; Calculus of variations; Control theory; Linear control systems; Mathematical optimization; Kontrolltheorie; Lineares Gleichungssystem; Optimierung; Variationsrechnung; Kontrolltheorie; Lineares Gleichungssystem; Optimierung; Variationsrechnung
• Languages: English
• ISBNs: 9780080457345; 0080457347
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.