Turnpike conditions in infinite dimensional optimal control

• 作者： Zaslavski, Alexander J., author.
• 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,volume 148
• 主題： Control theory. , Turnpike theory (Economics) , Calculus of Variations and Optimal Control; Optimization. , Partial Differential Equations. , Functional Analysis. , Group Theory and Generalizations.
• ISBN： 9783030201784 (electronic bk.) 、 9783030201777 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: 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.
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• 摘要註: 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.
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