The Robust Maximum Principle Theory and Applications /

• Main Authors: Boltyanski, Vladimir G. (Author), Poznyak, Alexander S. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston : Birkhäuser Boston, 2012.
• Series: Systems & Control: Foundations & Applications
• Subjects: Mathematics.; System theory.; Calculus of variations.; Applied mathematics.; Engineering mathematics.; Vibration.; Dynamical systems.; Dynamics.; Control engineering.; Systems Theory, Control.; Control.; Calculus of Variations and Optimal Control; Optimization.; Vibration, Dynamical Systems, Control.; Appl.Mathematics/Computational Methods of Engineering.

Both refining and extending previous publications by the authors, the material in this monograph has been class-tested in mathematical institutions throughout the world. Covering some of the key areas of optimal control theory (OCT)—a rapidly expanding field that has developed to analyze the optimal...

Table of Contents:

• Preface
• Introduction
• I Topics of Classical Optimal Control
• 1 Maximum Principle
• 2 Dynamic Programming
• 3 Linear Quadratic Optimal Control
• 4 Time-Optimization Problem
• II Tent Method
• 5 Tent Method in Finite Dimensional Spaces
• 6 Extrenal Problems in Banach Space
• III Robust Maximum Principle for Deterministic Systems
• 7 Finite Collection of Dynamic Systems
• 8 Multi-Model Bolza and LQ-Problem
• 9 Linear Multi-Model Time-Optimization
• 10 A Measured Space as Uncertainty Set
• 11 Dynamic Programming for Robust Optimization
• 12 Min-Max Sliding Mode Control
• 13 Multimodel Differential Games
• IV Robust Maximum Principle for Stochastic Systems
• 14 Multi-Plant Robust Control
• 15 LQ-Stochastic Multi-Model Control
• 16 A Compact as Uncertainty Set
• References
• Index.