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Principles of Dynamic Optimization

This monograph explores key principles in the modern theory of dynamic optimization, incorporating important advances in the field to provide a comprehensive, mathematically rigorous reference. Emphasis is placed on nonsmooth analytic techniques, and an in-depth treatment of necessary conditions, mi...

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Váldodahkkit: Bettiol, Piernicola (Dahkki), Vinter, Richard B. (Dahkki)
Searvvušdahkki: SpringerLink (Online service)
Materiálatiipa: Elektrovnnalaš E-girji
Giella:eaŋgalasgiella
Almmustuhtton: Cham : Springer Nature Switzerland : Imprint: Springer, 2024.
Preanttus:1st ed. 2024.
Ráidu:Springer Monographs in Mathematics,
Fáttát:
Mathematical optimization.
Calculus of variations.
Dynamical systems.
System theory.
Control theory.
Calculus of Variations and Optimization.
Dynamical Systems.
Systems Theory, Control.
Liŋkkat:https://doi.org/10.1007/978-3-031-50089-3
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Sisdoallologahallan:
  • Preface
  • Overview
  • Set Convergence, Measurability, and Existence of Minimizers
  • Variational Principles
  • Nonsmooth Analysis
  • Subdifferential Calculus
  • Differential Inclusions
  • The Maximum Principle
  • The Generalized Euler-Lagrange and Hamiltonian Inclusion Conditions
  • Free End-Time Problems
  • The Maximum Principle for Problems with Pathwise Constraints
  • The Euler-Lagrange and Hamiltonian Inclusion Conditions in the Presence of State Constraints
  • Regularity of Minimizers
  • Dynamic Programming
  • Bibliography
  • Index.

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