Author : J. L. Lions
Publisher : SIAM
Page : 98 pages
File Size : 21,45 MB
Release : 1972-01-01
Category : Mathematics
ISBN : 0898710049
Discusses a number of the more interesting areas in the application of the theory of Optimal Control of distributed parameters.
Author : Alfred C. Robinson
Publisher :
Page : 54 pages
File Size : 48,37 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 : Alfred C. Robinson
Publisher :
Page : 54 pages
File Size : 49,65 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 : Nasir Uddin Ahmed
Publisher : New York : North Holland
Page : 456 pages
File Size : 42,53 MB
Release : 1981
Category : Science
ISBN :
Author : Jean-Pierre Babary
Publisher : Elsevier
Page : 661 pages
File Size : 39,34 MB
Release : 2014-05-16
Category : Technology & Engineering
ISBN : 1483153231
Control of Distributed Parameter Systems 1982 covers the proceeding of the Third International Federation of Automatic Control (IFAC) Symposium on Control of Distributed Parameter Systems. The book reviews papers that tackle issues concerning the control of distributed parameter systems, such as modeling, identification, estimation, stabilization, optimization, and energy system. The topics that the book tackles include notes on optimal and estimation result of nonlinear systems; approximation of the parameter identification problem in distributed parameters systems; and optimal control of a punctually located heat source. This text also encompasses the stabilization of nonlinear parabolic equations and the decoupling approach to the control of large spaceborne antenna systems. Stability of Hilbert space contraction semigroups and the tracking problem in the fractional representation approach are also discussed. This book will be of great interest to researchers and professionals whose work concerns automated control systems.
Author : Xungjing Li
Publisher : Springer Science & Business Media
Page : 462 pages
File Size : 11,84 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461242606
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.
Author : Spyros G. Tzafestas
Publisher : Elsevier
Page : 526 pages
File Size : 12,35 MB
Release : 2013-10-22
Category : Technology & Engineering
ISBN : 148314738X
Distributed Parameter Control Systems: Theory and Application is a two-part book consisting of 10 theoretical and five application-oriented chapters contributed by well-known workers in the distributed-parameter systems. The book covers topics of distributed parameter control systems in the areas of simulation, identification, state estimation, stability, control (optimal, stochastic, and coordinated), numerical approximation methods, optimal sensor, and actuator positioning. Five applications works include chemical reactors, heat exchangers, petroleum reservoirs/aquifers, and nuclear reactors. The text will be a useful reference for both graduate students and professional researchers working in the field.
Author : S. Ōmatu
Publisher : Oxford University Press, USA
Page : 456 pages
File Size : 47,53 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 : Charles Teo
Publisher : Academic Press
Page : 331 pages
File Size : 29,1 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 : M. Amouroux
Publisher : Elsevier
Page : 533 pages
File Size : 32,19 MB
Release : 2014-06-28
Category : Technology & Engineering
ISBN : 1483298817
This volume presents state-of-the-art reports on the theory, and current and future applications of control of distributed parameter systems. The papers cover the progress not only in traditional methodology and pure research in control theory, but also the rapid growth of its importance for different applications. This title will be of interest to researchers working in the areas of mathematics, automatic control, computer science and engineering.
