Turnpike phenomenon and symmetric optimization problems [electronic resource]

• 作者： Zaslavski, Alexander J.
• 其他作者：
  • SpringerLink (Online service)
• 其他題名：
  • Springer optimization and its applications ;
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： Springer optimization and its applications,v. 190
• 主題： Mathematical optimization. , Calculus of variations. , Calculus of Variations and Optimization. , Operations Research, Management Science.
• ISBN： 9783030969738 (electronic bk.) 、 9783030969721 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: Introduction -- Symmetric Optimization Problems -- Parametric Optimization -- Infinite Dimensional Control -- Symmetric Variational Problems -- Infinite Dimensional Optimal Control -- Optimization problems arising in crystallography -- Discrete dispersive dynamical systems -- References -- Index.
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• 摘要註: Written by a leading expert in turnpike phenomenon, this book is devoted to the study of symmetric optimization, variational and optimal control problems in infinite dimensional spaces and turnpike properties of their approximate solutions. The book presents a systematic and comprehensive study of general classes of problems in optimization, calculus of variations, and optimal control with symmetric structures from the viewpoint of the turnpike phenomenon. The author establishes generic existence and well-posedness results for optimization problems and individual (not generic) turnpike results for variational and optimal control problems. Rich in impressive theoretical results, the author presents applications to crystallography and discrete dispersive dynamical systems which have prototypes in economic growth theory. This book will be useful for researchers interested in optimal control, calculus of variations turnpike theory and their applications, such as mathematicians, mathematical economists, and researchers in crystallography, to name just a few.
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