Optimal Control: Novel Directions and Applications

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Tonon, Daniela (Επιμελητής έκδοσης), Aronna, Maria Soledad (Επιμελητής έκδοσης), Kalise, Dante (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Σειρά: Lecture Notes in Mathematics, 2180
• Θέματα: Mathematics.; System theory.; Mathematical models.; Calculus of variations.; Calculus of Variations and Optimal Control; Optimization.; Mathematical Modeling and Industrial Mathematics.; Systems Theory, Control.

Focusing on applications to science and engineering, this book presents the results of the ITN-FP7 SADCO network’s innovative research in optimization and control in the following interconnected topics: optimality conditions in optimal control, dynamic programming approaches to optimal feedback synt...

Πίνακας περιεχομένων:

• 1.Optimality conditions (in Pontryagin form)
• 1.1 Introduction
• 1.2
• On first order necessary conditions under pure state constraints
• 1.3 Optimality conditions and local regularity of the value function for the optimal exit time problem
• 1.4 Relaxation in Optimal Control
•  1.5 An Introduction to Optimal Control Problems with Time Delays
• 1.6 Variational Integrators for the Optimal Control of Mechanical  Systems
• 1.7 Pointwise necessary second order conditions
• 1.8 On the shooting method for control-affine problems
• 1.9 On second order conditions in the optimal control of Partial Differential Equations
• 2.Hamilton–Jacobi–Bellman equations
• 2.1 Introduction
• 2.2 Hamilton-Jacobi-Bellman approach for State-Constrained Optimal Control Problems, by Cristopher Hermosilla and Athena Picarelli
• 2.3 Hamilton-Jacobi-Bellman approach for State-Constrained Optimal Control Problems
• 2.4 High-order schemes for Hamilton–Jacobi–Bellman equations
• 2.5 Conclusion
• 2.6 Some Recent Applications of Hamilton–Jacobi–Bellman equations
• 2.7 A Brief Survey on Semi-Lagrangian Schemes for Mean Field Games, by Roberto Guglielmi and Francisco Silva
• 3. Direct Optimal Control and Model Predictive Control
• 3.1 Introduction
• 3.2 MPC Stability
• 3.3 Numerical Methods for MPC
• 3.4 Applications.