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Dynamic Programming And Pontryagin S Maximum Principle


Dynamic Programming And Pontryagin S Maximum Principle
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Dynamic Programming And Pontryagin S Maximum Principle


Dynamic Programming And Pontryagin S Maximum Principle
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Author : Hans Sagan
language : en
Publisher:
Release Date : 1967

Dynamic Programming And Pontryagin S Maximum Principle written by Hans Sagan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with categories.




Dynamic Programming And Pontryagin S Maximum Principle


Dynamic Programming And Pontryagin S Maximum Principle
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Author : S. S. L. Chang
language : en
Publisher:
Release Date : 1961

Dynamic Programming And Pontryagin S Maximum Principle written by S. S. L. Chang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Algebraic topology categories.


Bellman's dynamic programming and Pontryagin's maximum principle are generally regarded as two alternative ways of solving the problem of op imum control of a nonlinear system. A multistage decision process is described and applied to an optimal trajectory. The maximum principle is derived when one tries to overcome certain practical difficulties in dynamic programming. (Author).



Dynamic Programming And Pontryagin S Maximum Principle


Dynamic Programming And Pontryagin S Maximum Principle
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Author : Klaus Neumann
language : en
Publisher:
Release Date : 1968

Dynamic Programming And Pontryagin S Maximum Principle written by Klaus Neumann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with categories.




Automotive Model Predictive Control


Automotive Model Predictive Control
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Author : Luigi Del Re
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-03-11

Automotive Model Predictive Control written by Luigi Del Re 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 2010-03-11 with Technology & Engineering categories.


Automotive control has developed over the decades from an auxiliary te- nology to a key element without which the actual performances, emission, safety and consumption targets could not be met. Accordingly, automotive control has been increasing its authority and responsibility – at the price of complexity and di?cult tuning. The progressive evolution has been mainly ledby speci?capplicationsandshorttermtargets,withthe consequencethat automotive control is to a very large extent more heuristic than systematic. Product requirements are still increasing and new challenges are coming from potentially huge markets like India and China, and against this ba- ground there is wide consensus both in the industry and academia that the current state is not satisfactory. Model-based control could be an approach to improve performance while reducing development and tuning times and possibly costs. Model predictive control is a kind of model-based control design approach which has experienced a growing success since the middle of the 1980s for “slow” complex plants, in particular of the chemical and process industry. In the last decades, severaldevelopments haveallowedusing these methods also for “fast”systemsandthis hassupporteda growinginterestinitsusealsofor automotive applications, with several promising results reported. Still there is no consensus on whether model predictive control with its high requi- ments on model quality and on computational power is a sensible choice for automotive control.



Stochastic Controls


Stochastic Controls
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Author : Jiongmin Yong
language : en
Publisher: Springer Science & Business Media
Release Date : 1999-06-22

Stochastic Controls written by Jiongmin Yong 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 1999-06-22 with Mathematics categories.


As is well known, Pontryagin's maximum principle and Bellman's dynamic programming are the two principal and most commonly used approaches in solving stochastic optimal control problems. * An interesting phenomenon one can observe from the literature is that these two approaches have been developed separately and independently. Since both methods are used to investigate the same problems, a natural question one will ask is the fol lowing: (Q) What is the relationship betwccn the maximum principlc and dy namic programming in stochastic optimal controls? There did exist some researches (prior to the 1980s) on the relationship between these two. Nevertheless, the results usually werestated in heuristic terms and proved under rather restrictive assumptions, which were not satisfied in most cases. In the statement of a Pontryagin-type maximum principle there is an adjoint equation, which is an ordinary differential equation (ODE) in the (finite-dimensional) deterministic case and a stochastic differential equation (SDE) in the stochastic case. The system consisting of the adjoint equa tion, the original state equation, and the maximum condition is referred to as an (extended) Hamiltonian system. On the other hand, in Bellman's dynamic programming, there is a partial differential equation (PDE), of first order in the (finite-dimensional) deterministic case and of second or der in the stochastic case. This is known as a Hamilton-Jacobi-Bellman (HJB) equation.



Optimal Control Of Nonlinear Processes


Optimal Control Of Nonlinear Processes
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Author : Dieter Grass
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-07-24

Optimal Control Of Nonlinear Processes written by Dieter Grass 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 2008-07-24 with Business & Economics categories.


Dynamic optimization is rocket science – and more. This volume teaches how to harness the modern theory of dynamic optimization to solve practical problems, not only from space flight but also in emerging social applications such as the control of drugs, corruption, and terror. These innovative domains are usefully thought about in terms of populations, incentives, and interventions, concepts which map well into the framework of optimal dynamic control. This volume is designed to be a lively introduction to the mathematics and a bridge to these hot topics in the economics of crime for current scholars. We celebrate Pontryagin’s Maximum Principle – that crowning intellectual achievement of human understanding – and push its frontiers by exploring models that display multiple equilibria whose basins of attraction are separated by higher-dimensional DNSS "tipping points". That rich theory is complemented by numerical methods available through a companion web site.



Encyclopedia Of Optimization


Encyclopedia Of Optimization
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Author : Christodoulos A. Floudas
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-09-04

Encyclopedia Of Optimization written by Christodoulos A. Floudas 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 2008-09-04 with Mathematics categories.


The goal of the Encyclopedia of Optimization is to introduce the reader to a complete set of topics that show the spectrum of research, the richness of ideas, and the breadth of applications that has come from this field. The second edition builds on the success of the former edition with more than 150 completely new entries, designed to ensure that the reference addresses recent areas where optimization theories and techniques have advanced. Particularly heavy attention resulted in health science and transportation, with entries such as "Algorithms for Genomics", "Optimization and Radiotherapy Treatment Design", and "Crew Scheduling".



Optimal Control And Viscosity Solutions Of Hamilton Jacobi Bellman Equations


Optimal Control And Viscosity Solutions Of Hamilton Jacobi Bellman Equations
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Author : Martino Bardi
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-05-21

Optimal Control And Viscosity Solutions Of Hamilton Jacobi Bellman Equations written by Martino Bardi 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 2009-05-21 with Science categories.


The purpose of the present book is to offer an up-to-date account of the theory of viscosity solutions of first order partial differential equations of Hamilton-Jacobi type and its applications to optimal deterministic control and differential games. The theory of viscosity solutions, initiated in the early 80's by the papers of M.G. Crandall and P.L. Lions [CL81, CL83], M.G. Crandall, L.C. Evans and P.L. Lions [CEL84] and P.L. Lions' influential monograph [L82], provides an - tremely convenient PDE framework for dealing with the lack of smoothness of the value functions arising in dynamic optimization problems. The leading theme of this book is a description of the implementation of the viscosity solutions approach to a number of significant model problems in op- real deterministic control and differential games. We have tried to emphasize the advantages offered by this approach in establishing the well-posedness of the c- responding Hamilton-Jacobi equations and to point out its role (when combined with various techniques from optimal control theory and nonsmooth analysis) in the important issue of feedback synthesis.



Scientific And Technical Aerospace Reports


Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1967

Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Aeronautics categories.




Reinforcement Learning For Optimal Feedback Control


Reinforcement Learning For Optimal Feedback Control
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Author : Rushikesh Kamalapurkar
language : en
Publisher: Springer
Release Date : 2018-05-10

Reinforcement Learning For Optimal Feedback Control written by Rushikesh Kamalapurkar and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-10 with Technology & Engineering categories.


Reinforcement Learning for Optimal Feedback Control develops model-based and data-driven reinforcement learning methods for solving optimal control problems in nonlinear deterministic dynamical systems. In order to achieve learning under uncertainty, data-driven methods for identifying system models in real-time are also developed. The book illustrates the advantages gained from the use of a model and the use of previous experience in the form of recorded data through simulations and experiments. The book’s focus on deterministic systems allows for an in-depth Lyapunov-based analysis of the performance of the methods described during the learning phase and during execution. To yield an approximate optimal controller, the authors focus on theories and methods that fall under the umbrella of actor–critic methods for machine learning. They concentrate on establishing stability during the learning phase and the execution phase, and adaptive model-based and data-driven reinforcement learning, to assist readers in the learning process, which typically relies on instantaneous input-output measurements. This monograph provides academic researchers with backgrounds in diverse disciplines from aerospace engineering to computer science, who are interested in optimal reinforcement learning functional analysis and functional approximation theory, with a good introduction to the use of model-based methods. The thorough treatment of an advanced treatment to control will also interest practitioners working in the chemical-process and power-supply industry.