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Author : Ralph C. Smith
Publisher : SIAM
Page : 283 pages
File Size : 39,61 MB
Release : 2003-01-01
Category : Mathematics
ISBN : 0898715482
Eleven chapters, written by experts in their respective fields, on topics ranging from control of the Navier-Stokes equations to nondestructive evaluation - all of which are modeled by distributed parameter systems.
Author : Ralph C. Smith
Publisher : SIAM
Page : 290 pages
File Size : 26,54 MB
Release : 2003-01-01
Category : Biomedical modeling and computing
ISBN : 9780898717525
Written by the plenary speakers for the Conference on Future Directions in Distributed Parameter Systems (October 2000), the volume addresses the state of the art, open questions, and important research directions in applications modeled by partial differential equations and delay systems. Topics include electromagnetic theory for dielectric and conductive materials, flow control, cardiovascular and respiratory models, homogenization and systems theory, optimal and geometric control, reduced-order models for large-scale systems, smart materials, and nondestructive evaluation and structural health monitoring for systems, including nuclear power plants.
Author : Alfred C. Robinson
Publisher :
Page : 54 pages
File Size : 27,18 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 :
Publisher :
Page : 0 pages
File Size : 45,88 MB
Release : 2000
Category :
ISBN :
The 'Conference on Future Directions in Distributed Parameter Systems' brought together experts, whose research represented a broad spectrum of applications quantified by distributed parameter systems, and younger researchers focusing on specific facets of distributed parameter systems. A primary goal of the conference was to establish through plenary lectures the state of the art, open questions and important future research directions in a variety of applications and to pass the perspectives along to researchers in these areas. The conference also facilitated interaction between academic scientists and researchers from government laboratories and industry. The perspectives and recommendations provided in the plenary lectures will be published in a future volume.
Author : Bert van Keulen
Publisher : Springer Science & Business Media
Page : 251 pages
File Size : 25,38 MB
Release : 2012-12-06
Category : Science
ISBN : 1461203473
VI 5.3 Proof of the measurement-feedback result. 144 5.4 Relaxation of the a priori assumptions .. 165 5.4.1 Including the feedthroughs . . . . . 165 5.4.2 How to 'remove' the regularity assumptions 174 6 Examples and conclusions 177 6.1 Delay systems in state-space . . . . . . . . . . 177 6.1.1 Dynamic controllers for delay systems. 180 184 6.1.2 A linear quadratic control problem . . 6.1.3 Duality ............... . . 189 6.2 The mixed-sensitivity problem for delay systems 192 6.2.1 Introduction and statement of the problem. 192 6.2.2 Main result .............. . 194 6.3 Conclusions and directions for future research. 200 A Stability theory 205 A.1 205 A.2 206 B Differentiability and some convergence results 207 B.l 207 208 B.2 B.3 209 209 B.4 B.5 209 B.6 211 B.7 213 214 C The invariant zeros condition C.1 214 221 D The relation between P, Q and P 221 D.1 ............ .... . Bibliography 230 239 Index Preface Control of distributed parameter systems is a fascinating and challenging top ic, from both a mathematical and an applications point of view. The same can be said about Hoc-control theory, which has become very popular lately. I am therefore pleased to present in this book a complete treatment of the state-space solution to the Hoo-control problem for a large class of distributed parameter systems.
Author : H.T. Banks
Publisher : Springer Science & Business Media
Page : 328 pages
File Size : 13,2 MB
Release : 2012-12-06
Category : Science
ISBN : 1461237009
The research detailed in this monograph was originally motivated by our interest in control problems involving partial and delay differential equations. Our attempts to apply control theory techniques to such prob lems in several areas of science convinced us that in the need for better and more detailed models of distributed/ continuum processes in biology and mechanics lay a rich, interesting, and challenging class of fundamen tal questions. These questions, which involve science and mathematics, are typical of those arising in inverse or parameter estimation problems. Our efforts on inverse problems for distributed parameter systems, which are infinite dimensional in the most common realizations, began about seven years ago at a time when rapid advances in computing capabilities and availability held promise for significant progress in the development of a practically useful as well as theoretically sound methodology for such problems. Much of the research reported in our presentation was not begun when we outlined the plans for this monograph some years ago. By publishing this monograph now, when only a part of the originally intended topics are covered (see Chapter VII in this respect), we hope to stimulate the research and interest of others in an area of scientific en deavor which has exceeded even our optimistic expectations with respect to excitement, opportunity, and stimulation. The computer revolution alluded to above and the development of new codes allow one to solve rather routinely certain estimation problems that would have been out of the question ten years ago.
Author : Alfred C. Robinson
Publisher :
Page : 44 pages
File Size : 10,46 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 : Dariusz Ucinski
Publisher : CRC Press
Page : 392 pages
File Size : 46,21 MB
Release : 2004-08-27
Category : Mathematics
ISBN : 0203026780
For dynamic distributed systems modeled by partial differential equations, existing methods of sensor location in parameter estimation experiments are either limited to one-dimensional spatial domains or require large investments in software systems. With the expense of scanning and moving sensors, optimal placement presents a critical problem.
Author : Xueyan Xing
Publisher : Springer Nature
Page : 264 pages
File Size : 26,82 MB
Release : 2021-05-18
Category : Technology & Engineering
ISBN : 9811615322
This book aims at investigating PDE modeling and vibration control of some typical mechanical distributed parameter systems. Several control methods are proposed to realize stabilization of the closed-loop system with the help of mathematical tools and stability analysis methods. Besides, some common engineering problems, such as input and output constraints, are also involved in the control design. This book offers a comprehensive introduction of mechanical distributed parameter systems, including PDE modeling, controller design and stability analysis. The related fundamental mathematical tools and analytical approaches involving in the PDE modeling and controller are also provided, which broadens its reach to readers.
Author : F. Kappel
Publisher :
Page : 460 pages
File Size : 29,76 MB
Release : 1985
Category :
ISBN :