Download or read book Infinite Horizon Optimal Control in the Discrete Time Framework written by Joël Blot and published by Springer Science & Business Media. This book was released on 2013-11-08 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: ​​​​In this book the authors take a rigorous look at the infinite-horizon discrete-time optimal control theory from the viewpoint of Pontryagin’s principles. Several Pontryagin principles are described which govern systems and various criteria which define the notions of optimality, along with a detailed analysis of how each Pontryagin principle relate to each other. The Pontryagin principle is examined in a stochastic setting and results are given which generalize Pontryagin’s principles to multi-criteria problems. ​Infinite-Horizon Optimal Control in the Discrete-Time Framework is aimed toward researchers and PhD students in various scientific fields such as mathematics, applied mathematics, economics, management, sustainable development (such as, of fisheries and of forests), and Bio-medical sciences who are drawn to infinite-horizon discrete-time optimal control problems.

Download or read book Infinite Horizon Optimal Control written by Dean A. Carlson and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph deals with various classes of deterministic continuous time optimal control problems wh ich are defined over unbounded time intervala. For these problems, the performance criterion is described by an improper integral and it is possible that, when evaluated at a given admissible element, this criterion is unbounded. To cope with this divergence new optimality concepts; referred to here as "overtaking", "weakly overtaking", "agreeable plans", etc. ; have been proposed. The motivation for studying these problems arisee primarily from the economic and biological aciences where models of this nature arise quite naturally since no natural bound can be placed on the time horizon when one considers the evolution of the state of a given economy or species. The reeponsibility for the introduction of this interesting class of problems rests with the economiste who first studied them in the modeling of capital accumulation processes. Perhaps the earliest of these was F. Ramsey who, in his seminal work on a theory of saving in 1928, considered a dynamic optimization model defined on an infinite time horizon. Briefly, this problem can be described as a "Lagrange problem with unbounded time interval". The advent of modern control theory, particularly the formulation of the famoue Maximum Principle of Pontryagin, has had a considerable impact on the treatment of these models as well as optimization theory in general.

Download or read book Infinite Horizon Optimization written by Hemant Desai and published by . This book was released on 1973 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Approximating Solutions in Infinite Horizon Optimization written by William Paul Cross and published by . This book was released on 1995 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Turnpike Theory for the Robinson Solow Srinivasan Model written by Alexander J. Zaslavski and published by Springer Nature. This book was released on 2021-01-04 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the study of a class of optimal control problems arising in mathematical economics, related to the Robinson–Solow–Srinivasan (RSS) model. It will be useful for researches interested in the turnpike theory, infinite horizon optimal control and their applications, and mathematical economists. The RSS is a well-known model of economic dynamics that was introduced in the 1960s and as many other models of economic dynamics, the RSS model is determined by an objective function (a utility function) and a set-valued mapping (a technology map). The set-valued map generates a dynamical system whose trajectories are under consideration and the objective function determines an optimality criterion. The goal is to find optimal trajectories of the dynamical system, using the optimality criterion. Chapter 1 discusses turnpike properties for some classes of discrete time optimal control problems. Chapter 2 present the description of the RSS model and discuss its basic properties. Infinite horizon optimal control problems, related to the RSS model are studied in Chapter 3. Turnpike properties for the RSS model are analyzed in Chapter 4. Chapter 5 studies infinite horizon optimal control problems related to the RSS model with a nonconcave utility function. Chapter 6 focuses on infinite horizon optimal control problems with nonautonomous optimality criterions. Chapter 7 contains turnpike results for a class of discrete-time optimal control problems. Chapter 8 discusses the RSS model and compares different optimality criterions. Chapter 9 is devoted to the study of the turnpike properties for the RSS model. In Chapter 10 the one-dimensional autonomous RSS model is considered and the continuous time RSS model is studied in Chapter 11.

Download or read book Infinite Horizon Optimization written by Robert L. Smith and published by . This book was released on 1986 with total page 49 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Infinite Horizon Optimization for Markov Processes with Finite States Spaces written by University of Minnesota. Institute for Mathematics and Its Applications and published by . This book was released on 1986 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Degeneracy in Infinite Horizon Optimization written by Sarah M. Ryan, James C. Bean and published by . This book was released on 1987 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book A Tie Breaking Rule for Discrete Infinite Horizon Optimization written by Sarah M. Ryan and published by . This book was released on 1989 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Monotonicity in Infinite Horizon Optimization written by Torpong Cheevaprawatdomrong and published by . This book was released on 2001 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book a tie breaking algorithm for infinite horizon optimization written by sarah m. ryan, james c. bean, robert l. smith and published by . This book was released on 1987 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Stochastic Infinite Horizon Optimization Average Cost Criterion written by Allise Okin Wachs and published by . This book was released on 1998 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book An Approximation Framework for Infinite Horizon Optimization Problems in a Mathematical Programming Setting written by International Business Machines Corporation. Research Division and published by . This book was released on 1999 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "Dynamic optimization problems, including optimal control problems, have typically relied on the solution techniques of dynamic programming, involving the sequential solution of certain optimality equations. However, many problems cannot be handled this way, due to complex constraints, a continuous state space, and other complicating factors. When recast as mathematical programs relying on the powerful tools of optimization, especially duality, and decomposability to deal with very large problems, the boundaries imposed by dynamic programming are lifted. This paper develops approximation techniques for stationary infinite horizon problems with discounted costs, in the framework of mathematical programming. A reference is given for parallel results for stochastic dynamic optimization problems."

Download or read book Set Convergence in Infinite Horizon Optimization written by Irvin E. Schochetman and published by . This book was released on 1986 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book EXISTENCE AND DISCOVERY OF AVERAGE OPTIMAL SOLUTIONS IN DETERMINISTIC INFINTTE HORIZON OPTIMIZATION written by and published by . This book was released on 1997 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book COST BASED MEANS FOR RESOVING DEGENERACY IN INFINITE HORIZON OPTIMIZATION written by SARAH M. RYAN JAME C. BEAN and published by . This book was released on 1986 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Simulating Continuous time Infinite Horizon Optimization Models written by Timo Trimborn and published by . This book was released on 2007 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: