Principles Of Dynamic Optimization
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Principles Of Dynamic Optimization
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Author : Piernicola Bettiol
language : en
Publisher: Springer Nature
Release Date : 2024-06-18
Principles Of Dynamic Optimization written by Piernicola Bettiol and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-18 with Mathematics categories.
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, minimizer regularity, and global optimality conditions related to the Hamilton-Jacobi equation is given. New, streamlined proofs of fundamental theorems are incorporated throughout the text that eliminate earlier, cumbersome reductions and constructions. The first chapter offers an extended overview of dynamic optimization and its history that details the shortcomings of the elementary theory and demonstrates how a deeper analysis aims to overcome them. Aspects of dynamic programming well-matched to analytical techniques are considered in the final chapter, including characterization of extended-value functions associated with problems having endpoint and state constraints, inverse verification theorems, sensitivity relationships, and links to the maximum principle. This text will be a valuable resource for those seeking an understanding of dynamic optimization. The lucid exposition, insights into the field, and comprehensive coverage will benefit postgraduates, researchers, and professionals in system science, control engineering, optimization, and applied mathematics.
Elements Of Dynamic Optimization
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Author : Alpha C. Chiang
language : en
Publisher:
Release Date : 2000
Elements Of Dynamic Optimization written by Alpha C. Chiang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Economics, Mathematical categories.
INTRODUCTION 1.
Maximum Principle And Dynamic Programming Viscosity Solution Approach
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Author : Bing Sun
language : en
Publisher: Springer Nature
Release Date : 2025-08-02
Maximum Principle And Dynamic Programming Viscosity Solution Approach written by Bing Sun and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-08-02 with Science categories.
This book is concerned with optimal control problems of dynamical systems described by partial differential equations (PDEs). The content covers the theory and numerical algorithms, starting with open-loop control and ending with closed-loop control. It includes Pontryagin’s maximum principle and the Bellman dynamic programming principle based on the notion of viscosity solution. The Bellman dynamic programming method can produce the optimal control in feedback form, making it more appealing for online implementations and robustness. The determination of the optimal feedback control law is of fundamental importance in optimal control and can be argued as the Holy Grail of control theory. The book is organized into five chapters. Chapter 1 presents necessary mathematical knowledge. Chapters 2 and 3 (Part 1) focus on the open-loop control while Chapter 4 and 5 (Part 2) focus on the closed-loop control. In this monograph, we incorporate the notion of viscosity solution of PDE with dynamic programming approach. The dynamic programming viscosity solution (DPVS) approach is then used to investigate optimal control problems. In each problem, the optimal feedback law is synthesized and numerically demonstrated. The last chapter presents multiple algorithms for the DPVS approach, including an upwind finite-difference scheme with the convergence proof. It is worth noting that the dynamic systems considered are primarily of technical or biologic origin, which is a highlight of the book. This book is systematic and self-contained. It can serve the expert as a ready reference for control theory of infinite-dimensional systems. These chapters taken together would also make a one-semester course for graduate with first courses in PDE-constrained optimal control.
Advanced Techniques In Dynamic Programming A Comprehensive Guide For Java Developers
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Author : Adam Jones
language : en
Publisher: Walzone Press
Release Date : 2025-01-02
Advanced Techniques In Dynamic Programming A Comprehensive Guide For Java Developers written by Adam Jones and has been published by Walzone Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-02 with Computers categories.
Unlock the full potential of dynamic programming with "Advanced Techniques in Dynamic Programming: A Comprehensive Guide for Java Developers." This book is your ultimate resource for mastering one of the most powerful algorithmic approaches in computer science, tailored specifically for Java developers. It leads you through a detailed exploration of both the theoretical underpinnings and practical implementations of dynamic programming across diverse domains. From foundational concepts like recursion and memoization to cutting-edge techniques and practical applications, this guide thoroughly covers essential concepts and patterns to equip you for tackling complex computational challenges. Whether your goal is to enhance your problem-solving prowess, excel in technical interviews, or apply dynamic programming in industries such as finance, bioinformatics, or artificial intelligence, this book provides clear explanations and efficient Java-based solutions. With chapters focusing on optimizing Java for dynamic programming, graph algorithms, string processing, and more, this guide caters to both novice and seasoned developers aiming to master dynamic programming. Through hands-on examples, optimization strategies, and discussions on real-world applications, "Advanced Techniques in Dynamic Programming" offers a pathway to developing high-performance solutions to computationally intensive problems. Embark on this intellectual journey and learn how the synergy of dynamic programming and Java can transform your approach to solving algorithmic challenges, elevating your programming expertise to new heights.
Principles Of Dynamic Programming
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Author : Robert Edward Larson
language : en
Publisher:
Release Date : 1978
Principles Of Dynamic Programming written by Robert Edward Larson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Dynamic programming categories.
Simulation Based Optimization
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Author : Abhijit Gosavi
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-06-30
Simulation Based Optimization written by Abhijit Gosavi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-06-30 with Science categories.
Simulation-Based Optimization: Parametric Optimization Techniques and Reinforcement Learning introduces the evolving area of simulation-based optimization. The book's objective is two-fold: (1) It examines the mathematical governing principles of simulation-based optimization, thereby providing the reader with the ability to model relevant real-life problems using these techniques. (2) It outlines the computational technology underlying these methods. Taken together these two aspects demonstrate that the mathematical and computational methods discussed in this book do work. Broadly speaking, the book has two parts: (1) parametric (static) optimization and (2) control (dynamic) optimization. Some of the book's special features are: *An accessible introduction to reinforcement learning and parametric-optimization techniques. *A step-by-step description of several algorithms of simulation-based optimization. *A clear and simple introduction to the methodology of neural networks. *A gentle introduction to convergence analysis of some of the methods enumerated above. *Computer programs for many algorithms of simulation-based optimization.
Dynamic Programming
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Author : Art Lew
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-10-09
Dynamic Programming written by Art Lew and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-10-09 with Computers categories.
This book provides a practical introduction to computationally solving discrete optimization problems using dynamic programming. From the examples presented, readers should more easily be able to formulate dynamic programming solutions to their own problems of interest. We also provide and describe the design, implementation, and use of a software tool that has been used to numerically solve all of the problems presented earlier in the book.
Dynamic Programming
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Author : Moshe Sniedovich
language : en
Publisher: CRC Press
Release Date : 2010-09-10
Dynamic Programming written by Moshe Sniedovich and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-10 with Business & Economics categories.
Incorporating a number of the author's recent ideas and examples, Dynamic Programming: Foundations and Principles, Second Edition presents a comprehensive and rigorous treatment of dynamic programming. The author emphasizes the crucial role that modeling plays in understanding this area. He also shows how Dijkstra's algorithm is an excellent exampl
Future Wireless Networks And Information Systems
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Author : Ying Zhang
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-01-25
Future Wireless Networks And Information Systems written by Ying Zhang and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-25 with Technology & Engineering categories.
This volume contains revised and extended research articles written by prominent researchers participating in the ICF4C 2011 conference. 2011 International Conference on Future Communication, Computing, Control and Management (ICF4C 2011) has been held on December 16-17, 2011, Phuket, Thailand. Topics covered include intelligent computing, network management, wireless networks, telecommunication, power engineering, control engineering, Signal and Image Processing, Machine Learning, Control Systems and Applications, The book will offer the states of arts of tremendous advances in Computing, Communication, Control, and Management and also serve as an excellent reference work for researchers and graduate students working on Computing, Communication, Control, and Management Research.
Principles Of Integrated Airborne Avionics
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Author : Igor Victorovich Avtin
language : en
Publisher: Springer Nature
Release Date : 2021-06-11
Principles Of Integrated Airborne Avionics written by Igor Victorovich Avtin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-11 with Technology & Engineering categories.
This book discusses the principles, approaches, concepts and development programs for integrated aircraft avionics. The functional tasks of integrated on-board radio electronic equipment (avionics) of navigation, landing, data exchange and air traffic control are formulated that meet the modern requirements of civil and military aviation, and the principles of avionics integration are proposed. The modern approaches to the joint processing of information in navigation and landing complexes are analyzed. Algorithms of multichannel information processing in integrated avionics are considered, and examples of its implementation are presented. This book is intended for scientists and professionals in the field of aviation equipment, students and graduate students of relevant specialties.