2 edition of Optimal control by mathematical programming found in the catalog.
Optimal control by mathematical programming
Written in English
|Statement||by Daniel Tabak and Benjamin C. Kuo.|
|Contributions||Kuo, Benjamin C. 1930-|
Lectures on stochastic programming: modeling and theory / Alexander Shapiro, Darinka Dentcheva, Andrzej Ruszczynski. p. cm. -- (MPS-SIAM series on optimization ; 9). TY - BOOK. T1 - Optimal control of hydrosystems. AU - Mays, Larry. PY - Y1 - N2 - This book combines the hydraulic simulation of physical processes with mathematical programming and differential dynamic programming techniques to ensure the optimization of by:
Mathematical Programming, a branch of Operations Research, is perhaps the most efficient technique in making optimal decisions. It has a very wide application in the analysis of management problems, in business and industry, in economic studies, in military problems and in many other fields of our present day Edition: 1. Applications and corresponding numerical tests are also given and discussed. To our knowledge, this is the first book to put together mathematics and computer programs for Optimal Control in order to bridge the gap between mathematical abstract algorithms and concrete numerical ones.
Optimal control theory is a mature mathematical discipline with numerous applications Of special interest in the context of this book is the The chapter is organized in the following sections: 1. Dynamic programming, Bellman equations, optimal value functions, value and policy iteration, shortest paths, Markov decision processes. 2 File Size: KB. This book may well become an important milestone in the literature of optimal control." -Mathematical Reviews "This remarkable book presents Optimal Control seen as a natural development of Calculus of Variations so as to deal with the control of engineering devices.2/5(1).
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Additional Physical Format: Online version: Tabak, Daniel. Optimal control by mathematical programming. Englewood Cliffs, N.J., Prentice-Hall . Problem formulation; Conditions of optimality for the basic problem; Some necessary and some sufficient conditions for nonlinear programming problems; Discrete optimal control problems; Optimal control and linear programming; Optimal control and quadratic programming; Convex programming algorithms; Free-end-time optimal control problems.
An Introduction to Mathematical Optimal Control Theory Version By Lawrence C. Evans Department of Mathematics University of California, Berkeley Chapter 1: Introduction Chapter 2: Controllability, bang-bang principle Chapter 3: Linear time-optimal control Chapter 4: The Pontryagin Maximum Principle Chapter 5: Dynamic programming Chapter 6 File Size: KB.
While some mathematical background is needed, the emphasis of the book is not on mathematical rigor, but on modeling realistic situations faced in business and economics. The book exploits optimal control theory to the functional areas of management including finance, production and marketing and to economics of growth and of natural by: Optimal Control and Estimation (Dover Books on Mathematics) - Kindle edition by Stengel, Robert F.
Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Optimal Control and Estimation (Dover Books on Mathematics)/5(19). Get this from a library. Theory of optimal control and mathematical programming.
[Michael D Canon; Clifton D Cullum; E Polak] -- "This book has three basic aims: to present a unified theory of optimization, to introduce nonlinear programming algorithms to the control engineer, and to introduce the nonlinear programming expert. My field is mathematical programming, and I tend to look at optimal control as just optimization with ODEs in the constraint set; that is, it is the optimization of dynamic systems.
I would start by studying some optimization theory (not LPs but NLPs) and getting an intuitive feel. Optimal Control brings together many of the important advances in 'nonsmooth' optimal control over the last several decades concerning necessary conditions, minimizer regularity, and global optimality conditions associated with the Hamilton–Jacobi equation.
The book is largely self-contained and incorporates numerous simplifications and unifying features for the subject’s key concepts and. Optimal control and numerical software: an overview 7 The Pontryagin Maximum Prin ciple (Theorem ) r emains valid for problems with bounds.
Thus, the mathematical theory of optimal control is a branch of mathematics that deals with the nonclassical variational problems of finding (1) extrema of functionals on the solutions of equations describing controlled systems and (2) control schemes by which such extrema can be realized.
REINFORCEMENT LEARNING AND OPTIMAL CONTROL BOOK, Athena Scientific, July The book is available from the publishing company Athena Scientific, or from. Click here for an extended lecture/summary of the book: Ten Key Ideas for Reinforcement Learning and Optimal Control.
The purpose of the book is to consider large and challenging multistage decision problems, which can. ( views) Linear Optimal Control by B.D.O. Anderson, J.B. Moore - Prentice Hall, This book constructs a bridge between the familiar classical control results and those of modern control theory.
Many modern control results do have practical engineering significance, as distinct from applied mathematical significance. ( views). Dynamic Programming & Optimal Control, Vol. Book Title:Dynamic Programming & Optimal Control, Vol. The first of the two volumes of the leading and most uptodate textbook on the farranging algorithmic methododogy of Dynamic Programming, which can be used for optimal control, Markovian decision problems, planning and sequential decision making under uncertainty, and.
Control Applications of Nonlinear Programming and Optimization presents the proceedings of the Fifth IFAC Workshop held in Capri, Italy on JuneThe book covers various aspects of the optimization of control systems and of the numerical solution of optimization problems.
The concept of a system as an entity in its own right has emergedwith increasing force in the past few decades in, for example, theareas of electrical and control engineering, economics, ecology,urban structures, automaton theory, operational research andindustry.
The more definite concept of a large-scale system isimplicit in these applications, but is particularly evident infields such as. Stochastic Optimal Control: The Discrete-Time Case by Dimitri P.
Bertsekas, Steven E. Shreve - Athena Scientific This research monograph is the authoritative and comprehensive treatment of the mathematical foundations of stochastic optimal control of discrete-time systems, including the treatment of the intricate measure-theoretic issues.
Mathematical optimization (alternatively spelt optimisation) or mathematical programming is the selection of a best element (with regard to some criterion) from some set of available alternatives.
Optimization problems of sorts arise in all quantitative disciplines from computer science and engineering to operations research and economics, and the development of solution methods has been of. Subsequent chapters focus on mathematical programming algorithms based on Lagrangian functions for solving optimal control problems; computer-aided design via optimization; optimal and suboptimal control of oscillating dynamical systems; and the application of nonlinear programming to the solution of optimal output-constrained regulator problems.
Optimal control theory is a branch of applied mathematics that deals with finding a control law for a dynamical system over a period of time such that an objective function is optimized. It has numerous applications in both science and engineering. For example, the dynamical system might be a spacecraft with controls corresponding to rocket thrusters, and the objective might be to reach the.
The book describes how sparse optimization methods can be combined with discretization techniques for differential-algebraic equations and used to solve optimal control and estimation problems.
The interaction between optimization and integration is emphasized throughout the book. Optimal control methods are used to determine optimal ways to control a dynamic system.
The theoretical work in this field serves as a foundation for the book, which the author has applied to business management problems developed from his research and classroom instruction. The new edition has been completely refined and brought up to date.Theory of Optimal Control and Mathematical Programming, a volume in the McGraw-Hill Systems Science series.
by Canon, Michael D.; Cullum Jr., Clifton D.; Polak, Elijah and a great selection of related books, art and collectibles available now at This book presents a unified theory of nonlinear mathe matical programming.
The same methods and concepts apply equally to 'nonlinear programming' problems with a finite number of variables, and to 'optimal control' problems with e. g. a continuous curve (i. e. infinitely many variables).