The Robust Maximum Principle Theory and Applications

Moving on to examine the tent method in detail, the book then presents its core material, which is a more robust maximum principle for both deterministic and stochastic systems. The results obtained have applications in production planning, reinsurance-dividend management, multi-model sliding mode c...

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Bibliographic Details
Main Authors: Boltyanski, Vladimir G., Poznyak, Alexander S. (Author)
Format: eBook
Language:English
Published: Boston, MA Birkhäuser 2012, 2012
Edition:1st ed. 2012
Series:Systems & Control: Foundations & Applications
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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