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Neural Approximations for Optimal Control and Decision

Title
Neural Approximations for Optimal Control and Decision [electronic resource] / by Riccardo Zoppoli, Marcello Sanguineti, Giorgio Gnecco, Thomas Parisini.
ISBN
9783030296933
Edition
1st ed. 2020.
Publication
Cham : Springer International Publishing : Imprint: Springer, 2020.
Physical Description
1 online resource (XVIII, 517 p.) 99 illus., 8 illus. in color.
Local Notes
Access is available to the Yale community.
Access and use
Access restricted by licensing agreement.
Summary
Neural Approximations for Optimal Control and Decision provides a comprehensive methodology for the approximate solution of functional optimization problems using neural networks and other nonlinear approximators where the use of traditional optimal control tools is prohibited by complicating factors like non-Gaussian noise, strong nonlinearities, large dimension of state and control vectors, etc. Features of the text include: • a general functional optimization framework; • thorough illustration of recent theoretical insights into the approximate solutions of complex functional optimization problems; • comparison of classical and neural-network based methods of approximate solution; • bounds to the errors of approximate solutions; • solution algorithms for optimal control and decision in deterministic or stochastic environments with perfect or imperfect state measurements over a finite or infinite time horizon and with one decision maker or several; • applications of current interest: routing in communications networks, traffic control, water resource management, etc.; and • numerous, numerically detailed examples. The authors’ diverse backgrounds in systems and control theory, approximation theory, machine learning, and operations research lend the book a range of expertise and subject matter appealing to academics and graduate students in any of those disciplines together with computer science and other areas of engineering.
Variant and related titles
Springer ENIN.
Other formats
Printed edition:
Printed edition:
Format
Books / Online
Language
English
Added to Catalog
January 06, 2020
Series
Communications and control engineering.
Communications and Control Engineering,
Contents
Chapter 1. The Basic Infinite-Dimensional or Functional Optimization Problem
Chapter 2. From Functional Optimization to Nonlinear Programming by the Extended Ritz Method
Chapter 3. Some Families of FSP Functions and Their Properties
Chapter 4. Design of Mathematical Models by Learning from Data and FSP Functions
Chapter 5. Numerical Methods for Integration and Search for Minima
Chapter 6. Deterministic Optimal Control Over a Finite Horizon
Chapter 7. Stochastic Optimal Control with Perfect State Information over a Finite Horizon
Chapter 8. Stochastic Optimal Control with Imperfect State Information over a Finite Horizon
Chapter 9. Team Optimal Control Problems
Chapter 10. Optimal Control Problems over an Infinite Horizon
Index.
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