Optimal control and forecasting of complex dynamical systems /

The core of classical economic analysis represented by William Petty and Adam Smith concentrated on the field of development economics. This classical footing of the study of development is different from the neoclassical perspective in two important respects: it focuses on division of labor as the...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Grigorenko, Ilya
Autor Corporativo: World Scientific (Firm)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore ; Hackensack, N.J. : World Scientific, ©2006.
Temas:
Control theory.
Mathematical optimization.
Chaotic behavior in systems.
Differentiable dynamical systems.
Théorie de la commande.
Optimisation mathématique.
Chaos.
Dynamique différentiable.
COMPUTERS > Cybernetics.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Cover
  • Preface
  • Contents
  • Chapter 1. Analytical methods in control and optimization
  • 1.1 Calculus of variations
  • 1.1.1 The beginning: Fermat's variational principle
  • 1.1.2 The "beautiful" Brachistochrone Problem
  • 1.1.3 Euler-Lagrange equation
  • 1.1.4 A word about distance between two functions
  • 1.1.5 The Brachistochrone problem revisited
  • 1.1.6 Generalizations of the Euler-Lagrange equation
  • 1.1.7 Transversality conditions
  • 1.1.8 Conditional extremum: Lagrange multipliers method
  • 1.1.9 Mixed Optimal problem
  • 1.1.10 Approximate methods of solution-Ritz's method
  • 1.2 Optimal control theory
  • 1.2.1 Sensitivity analysis
  • 1.2.2 Null controllability
  • 1.2.3 Problems with constrained control
  • 1.3 Summary
  • Chapter 2. Numerical optimization
  • 2.1 The halting problem and No Free Lunch Theorem &

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