Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Optimal Control In Bounded Phase Space
Download Optimal Control In Bounded Phase Space full books in PDF, epub, and Kindle. Read online Optimal Control In Bounded Phase Space ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Book Synopsis Optimal Control in Bounded Phase Space by : Sheldon S. L. Chang
Download or read book Optimal Control in Bounded Phase Space written by Sheldon S. L. Chang and published by . This book was released on 1961 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt: A bounded phase space condition is derived for a restricted class of problems. The condition is proved to be a necessary condition for optimal control in a fixed time interval with free end point. If the system is linear, and the allowed regions of phase variables and controls are convex, the condition is both necessary and sufficient, for optimal control in a fixed time interval, as well as minimal time control between two fixed points. (Author).
Book Synopsis On Optimal Control with Bounded State Variables by : AERONAUTICAL RESEARCH ASSOCIATES OF PRINCETON INC N J.
Download or read book On Optimal Control with Bounded State Variables written by AERONAUTICAL RESEARCH ASSOCIATES OF PRINCETON INC N J. and published by . This book was released on 1964 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report surveys the present status of the bounded state space problem in optimal control theory. Two different methods are used to formulate the variational problem with each method providing a set of different but equivalent necessary conditions. The physical meaning of these conditions is examined along with their use in computational procedures. It is shown that the solution to the bounded state space problem requires the solution of a system of differential equations in which auxiliary conditions are specified not only at the initial and terminal points, but at each intermediate point at which the optimal trajectory enters or leaves the boundary surface. (Author).
Book Synopsis Optimal Control Theory and Static Optimization in Economics by : Daniel Léonard
Download or read book Optimal Control Theory and Static Optimization in Economics written by Daniel Léonard and published by Cambridge University Press. This book was released on 1992-01-31 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal control theory is a technique being used increasingly by academic economists to study problems involving optimal decisions in a multi-period framework. This textbook is designed to make the difficult subject of optimal control theory easily accessible to economists while at the same time maintaining rigour. Economic intuitions are emphasized, and examples and problem sets covering a wide range of applications in economics are provided to assist in the learning process. Theorems are clearly stated and their proofs are carefully explained. The development of the text is gradual and fully integrated, beginning with simple formulations and progressing to advanced topics such as control parameters, jumps in state variables, and bounded state space. For greater economy and elegance, optimal control theory is introduced directly, without recourse to the calculus of variations. The connection with the latter and with dynamic programming is explained in a separate chapter. A second purpose of the book is to draw the parallel between optimal control theory and static optimization. Chapter 1 provides an extensive treatment of constrained and unconstrained maximization, with emphasis on economic insight and applications. Starting from basic concepts, it derives and explains important results, including the envelope theorem and the method of comparative statics. This chapter may be used for a course in static optimization. The book is largely self-contained. No previous knowledge of differential equations is required.
Book Synopsis Optimal control in a bounded state space with economic application by : Milind Madhukar Lele
Download or read book Optimal control in a bounded state space with economic application written by Milind Madhukar Lele and published by . This book was released on 1970 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Optimal Control of Partial Differential Equations Involving Pointwise State Constraints: Regularization and Applications by : Irwin Yousept
Download or read book Optimal Control of Partial Differential Equations Involving Pointwise State Constraints: Regularization and Applications written by Irwin Yousept and published by Cuvillier Verlag. This book was released on 2008 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Continuous Optimal Control Problems with Phase Space Constraints by : Jane Kehoe Cullum
Download or read book Continuous Optimal Control Problems with Phase Space Constraints written by Jane Kehoe Cullum and published by . This book was released on 1966 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first part is devoted to proving that for a control problem satisfying the proper differentiability hypotheses and in which the optimization is made over a set of trajectories of the associated differential system that are in a fixed closed subset A of E(n), if an optimal solution exists such that the optimal trajectory is on the boundary of A and such that in a neighborhood of this trajectory, the boundary of A is the C(2)- diffeomorphic image of an open set in E(n-1), then this optimal solution satisfies a modified version of Pontryagin's maximum principle. The proof presented is direct and uses only the constructions used in the proof of Pontryagin's principle. If a C(2)- diffeomorphism exists, it is proved that the problems considered by Gamkrelidze are included in the problems considered in this paper. The restriction made by Gamkrelidze that the controls be piecewise smooth is removed, and the condition that the control sets be regular is relaxed. In the second part, three types of approximations of sequences of trajectories paired with their controls to a trajectory and its control are defined. The first type involves only the convergence of the trajectories, the second and third types add the convergence of the corresponding controls in the weak L(2)-topology and the strong L(2)-topology respectively. Next penalty functions are introduced and the problems generated perturbed; it is proved that the preceding results still hold for this new family of problems. Finally, results involving controllability hypotheses are obtained, and a specialized theorem involving approximations of type three is proved.
Book Synopsis Optimal Control in a Bounded State Space with Economic Applications by : Milind Madhukar Lele
Download or read book Optimal Control in a Bounded State Space with Economic Applications written by Milind Madhukar Lele and published by . This book was released on 1971 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Optimal Control Theory for Infinite Dimensional Systems by : Xungjing Li
Download or read book Optimal Control Theory for Infinite Dimensional Systems written by Xungjing Li and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: Infinite dimensional systems can be used to describe many phenomena in the real world. As is well known, heat conduction, properties of elastic plastic material, fluid dynamics, diffusion-reaction processes, etc., all lie within this area. The object that we are studying (temperature, displace ment, concentration, velocity, etc.) is usually referred to as the state. We are interested in the case where the state satisfies proper differential equa tions that are derived from certain physical laws, such as Newton's law, Fourier's law etc. The space in which the state exists is called the state space, and the equation that the state satisfies is called the state equation. By an infinite dimensional system we mean one whose corresponding state space is infinite dimensional. In particular, we are interested in the case where the state equation is one of the following types: partial differential equation, functional differential equation, integro-differential equation, or abstract evolution equation. The case in which the state equation is being a stochastic differential equation is also an infinite dimensional problem, but we will not discuss such a case in this book.
Book Synopsis Fundamental Concepts and Problems of Optimal Control Theory by : Laurence Chisholm Young
Download or read book Fundamental Concepts and Problems of Optimal Control Theory written by Laurence Chisholm Young and published by . This book was released on 1970 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stochastic Optimal Control in Infinite Dimension by : Giorgio Fabbri
Download or read book Stochastic Optimal Control in Infinite Dimension written by Giorgio Fabbri and published by Springer. This book was released on 2017-06-22 with total page 928 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing an introduction to stochastic optimal control in infinite dimension, this book gives a complete account of the theory of second-order HJB equations in infinite-dimensional Hilbert spaces, focusing on its applicability to associated stochastic optimal control problems. It features a general introduction to optimal stochastic control, including basic results (e.g. the dynamic programming principle) with proofs, and provides examples of applications. A complete and up-to-date exposition of the existing theory of viscosity solutions and regular solutions of second-order HJB equations in Hilbert spaces is given, together with an extensive survey of other methods, with a full bibliography. In particular, Chapter 6, written by M. Fuhrman and G. Tessitore, surveys the theory of regular solutions of HJB equations arising in infinite-dimensional stochastic control, via BSDEs. The book is of interest to both pure and applied researchers working in the control theory of stochastic PDEs, and in PDEs in infinite dimension. Readers from other fields who want to learn the basic theory will also find it useful. The prerequisites are: standard functional analysis, the theory of semigroups of operators and its use in the study of PDEs, some knowledge of the dynamic programming approach to stochastic optimal control problems in finite dimension, and the basics of stochastic analysis and stochastic equations in infinite-dimensional spaces.
Book Synopsis Optimization, Optimal Control and Partial Differential Equations by : Viorel Barbu
Download or read book Optimization, Optimal Control and Partial Differential Equations written by Viorel Barbu and published by Springer Science & Business Media. This book was released on 1992 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Variational methods in mechanics and physical models.- Fluid flows in dielectric porous media.- The impact of a jet with two fluids on a porous wall.- Critical point methods in nonlinear eigenvalue problems with discontinuities.- Maximum principles for elliptic systems.- Exponential dichotomy of evolution operators in Banach spaces.- Asymptotic properties of solutions to evolution equations.- On some nonlinear elastic waves biperiodical or almost periodical in mechanics and extensions hyperbolic nonlinear partial differential equations.- The controllability of infinite dimensional and distributed parameter systems.- Singularities in boundary value problems and exact controllability of hyperbolic systems.- Exact controllability of a shallow shell model.- Inverse problem: Identification of a melting front in the 2D case.- Micro-local approach to the control for the plates equation.- Bounded solutions for controlled hyperbolic systems.- Controllability and turbulence.- The H? control problem.- The H? boundary control with state feedback; the hyperbolic case.- Remarks on the theory of robust control.- The dynamic programming method.- Optimality and characteristics of Hamilton-Jacobi-Bellman equations.- Verification theorems of dynamic programming type in optimal control.- Isaacs' equations for value-functions of differential games.- Optimal control for robot manipulators.- Control theory and environmental problems: Slow fast models for management of renewable ressources.- On the Riccati equations of stochastic control.- Optimal control of nonlinear partial differential equations.- A boundary Pontryagin's principle for the optimal control of state-constrained elliptic systems.- Controllability properties for elliptic systems, the fictitious domain method and optimal shape design problems.- Optimal control for elliptic equation and applications.- Inverse problems for variational inequalities.- The variation of the drag with respect to the domain in Navier-Stokes flow, .- Mathematical programming and nonsmooth optimization.- Scalar minimax properties in vectorial optimization.- Least-norm regularization for weak two-level optimization problems.- Continuity of the value function with respect to the set of constraints.- On integral inequalities involving logconcave functions.- Numerical solution of free boundary problems in solids mechanics.- Authors' index
Book Synopsis Applied Optimal Control by : A. E. Bryson
Download or read book Applied Optimal Control written by A. E. Bryson and published by CRC Press. This book was released on 1975-01-01 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: This best-selling text focuses on the analysis and design of complicated dynamics systems. CHOICE called it “a high-level, concise book that could well be used as a reference by engineers, applied mathematicians, and undergraduates. The format is good, the presentation clear, the diagrams instructive, the examples and problems helpful...References and a multiple-choice examination are included.”
Book Synopsis Optimal Control of Nonsmooth Distributed Parameter Systems by : Dan Tiba
Download or read book Optimal Control of Nonsmooth Distributed Parameter Systems written by Dan Tiba and published by Springer. This book was released on 2006-11-14 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to the study of distributed control problems governed by various nonsmooth state systems. The main questions investigated include: existence of optimal pairs, first order optimality conditions, state-constrained systems, approximation and discretization, bang-bang and regularity properties for optimal control. In order to give the reader a better overview of the domain, several sections deal with topics that do not enter directly into the announced subject: boundary control, delay differential equations. In a subject still actively developing, the methods can be more important than the results and these include: adapted penalization techniques, the singular control systems approach, the variational inequality method, the Ekeland variational principle. Some prerequisites relating to convex analysis, nonlinear operators and partial differential equations are collected in the first chapter or are supplied appropriately in the text. The monograph is intended for graduate students and for researchers interested in this area of mathematics.
Book Synopsis Optimal Control in Bounded Phase-coordinate Processes by : J. Y. S. Luh
Download or read book Optimal Control in Bounded Phase-coordinate Processes written by J. Y. S. Luh and published by . This book was released on 1966 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Optimal Control with Multiple Bounded Inputs by : Abraham Weinreb
Download or read book Optimal Control with Multiple Bounded Inputs written by Abraham Weinreb and published by . This book was released on 1985 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Optimal Control of Nuclear Reactor Processes by : Ronald R. Mohler
Download or read book Optimal Control of Nuclear Reactor Processes written by Ronald R. Mohler and published by . This book was released on 1965 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Optimal Control Systems by AA Fel'Dbaum by :
Download or read book Optimal Control Systems by AA Fel'Dbaum written by and published by Elsevier. This book was released on 1966-01-01 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. - Best operator approximation, - Non-Lagrange interpolation, - Generic Karhunen-Loeve transform - Generalised low-rank matrix approximation - Optimal data compression - Optimal nonlinear filtering
