Turnpike Conditions in Infinite Dimensional Optimal Control
tarafından
 
Zaslavski, Alexander J. author.

Başlık
Turnpike Conditions in Infinite Dimensional Optimal Control

Yazar
Zaslavski, Alexander J. author.

ISBN
9783030201784

Yazar
Zaslavski, Alexander J. author.

Edisyon
1st ed. 2019.

Fiziksel Niteleme
X, 570 p. online resource.

Seri
Springer Optimization and Its Applications, 148

İçindekiler
Preface -- 1. Introduction -- 2. Discrete-time autonomous problems -- 3. Discrete-time nonautonomous problems on half-axis -- 4. Discrete-time nonautonomous problems on axis -- 5. Continuous-time autonomous problems -- 6. Continuous-time nonautonomous problems on half-axis -- 7. Continuous-time nonautonomous problems on axis.

Özet
This book provides a comprehensive study of turnpike phenomenon arising in optimal control theory. The focus is on individual (non-generic) turnpike results which are both mathematically significant and have numerous applications in engineering and economic theory. All results obtained in the book are new. New approaches, techniques, and methods are rigorously presented and utilize research from finite-dimensional variational problems and discrete-time optimal control problems to find the necessary conditions for the turnpike phenomenon in infinite dimensional spaces. The semigroup approach is employed in the discussion as well as PDE descriptions of continuous-time dynamics. The main results on sufficient and necessary conditions for the turnpike property are completely proved and the numerous illustrative examples support the material for the broad spectrum of experts. Mathematicians interested in the calculus of variations, optimal control and in applied functional analysis will find this book a useful guide to the turnpike phenomenon in infinite dimensional spaces. Experts in economic and engineering modeling as well as graduate students will also benefit from the developed techniques and obtained results.

Konu Başlığı
Calculus of variations.
 
Partial differential equations.
 
Functional analysis.
 
Group theory.
 
Calculus of Variations and Optimal Control; Optimization. https://scigraph.springernature.com/ontologies/product-market-codes/M26016
 
Partial Differential Equations. https://scigraph.springernature.com/ontologies/product-market-codes/M12155
 
Functional Analysis. https://scigraph.springernature.com/ontologies/product-market-codes/M12066
 
Group Theory and Generalizations. https://scigraph.springernature.com/ontologies/product-market-codes/M11078

Ek Kurum Yazar
SpringerLink (Online service)

Elektronik Erişim
https://doi.org/10.1007/978-3-030-20178-4


Materyal TürüBarkodYer NumarasıDurumu/İade Tarihi
Electronic Book428655-1001QA315 -316Springer E-Book Collection