Author : Syama Prasad Chaudhuri
Publisher :
Page : 412 pages
File Size : 20,18 MB
Release : 1967
Category : Mathematical optimization
ISBN :
Author : Alfred C. Robinson
Publisher :
Page : 54 pages
File Size : 41,69 MB
Release : 1969
Category : Control theory
ISBN :
The report is a survey of theoretical and computational methods in the field of optimal control of distributed parameter systems. This includes systems described by integral equations and partial differential equations. The various studies which have been done are grouped according to the method employed. A number of applications and potential applications of these methods are discussed, and certain deficiencies in the current state of knowledge are noted. Difficulties and opportunities in practical applications are discussed, and suggestions are offered for directions of research to render the results more readily usable. A list of references is included numbering more than 250 items: papers, report, and books.
Author : Charles Teo
Publisher : Academic Press
Page : 331 pages
File Size : 16,48 MB
Release : 1984-08-21
Category : Computers
ISBN : 0080956785
Optimal control theory of distributed parameter systems has been a very active field in recent years; however, very few books have been devoted to the studiy of computational algorithms for solving optimal control problems. For this rason the authors decided to write this book. Because the area is so broad, they confined themselves to optimal control problems involving first and second boundary-value problems of a linear second-order parabolic partial differential equation. However the techniques used are by no means restricted to these problems. They can be and in some cases already have been applied to problems involving other types of distributed parameter system. The authors aim is to devise computational algorithms for solving optimal control problems with particular emphasis on the mathematical theory underlying the algorithms. These algorithms are obtained by using a first-order strong variational method or gradient-type methods.
Author : Donald W. Reid
Publisher :
Page : pages
File Size : 35,99 MB
Release : 1980
Category : Automatic control engineering
ISBN :
Author : Ramamohan Lal Tummala
Publisher :
Page : 296 pages
File Size : 25,41 MB
Release : 1970
Category : Control theory
ISBN :
Author : Alfred C. Robinson
Publisher :
Page : 44 pages
File Size : 27,11 MB
Release : 1969
Category : Control theory
ISBN :
The report is a survey of theoretical and computational methods in the field of optimal control of distributed parameter systems. This includes systems described by integral equations and partial differential equations. The various studies which have been done are grouped according to the method employed. A number of applications and potential applications of these methods are discussed, and certain deficiencies in the current state of knowledge are noted. Difficulties and opportunities in practical applications are discussed, and suggestions are offered for directions of research to render the results more readily usable. A list of references is included numbering more than 250 items: papers, report, and books. (Author).
Author : S. Ōmatu
Publisher : Oxford University Press, USA
Page : 456 pages
File Size : 35,75 MB
Release : 1989
Category : Mathematics
ISBN :
In this unified account of the mathematical theory of distributed parameter systems (DPS), the authors cover all major aspects of the control, estimation, and identification of such systems, and their application in engineering problems. The first part of the book is devoted to the basic results in deterministic and stochastic partial differential equations, which are applied to the optimal control and estimation theories for DPS. Part two then applies this knowledge in an engineering setting, discussing optimal estimators, optimal sensor and actuator locations, and computational techniques.
Author : H. Thomas Banks
Publisher :
Page : 7 pages
File Size : 17,29 MB
Release : 1982
Category : Delay differential equations
ISBN :
Spline-based computational procedures for parameter estimation and optimal control problems involving delay and partial differential equations are outlined. Brief discussions are presented reporting on application of the ideas to compute feedback controls for delay systems, to estimate variable coefficients in population dispersal models, and to estimate parameters in higher order models arising in elasticity. (Author).
Author : Dan Tiba
Publisher : Springer
Page : 166 pages
File Size : 31,46 MB
Release : 2006-11-14
Category : Science
ISBN : 3540467556
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.
Author : Donald James Ewing
Publisher :
Page : 664 pages
File Size : 46,77 MB
Release : 1970
Category : Dynamic programming
ISBN :
