New Trends in Systems Analysis: International Symposium, Versailles, December 13–17, 1976 IRIA LABORIA Institut de Recherche d'Informatique et d'Automatique Rocquencourt - France

762 Pages·1977·9.517 MB·English-French

by  Frank C. Hoppensteadt (auth.), Prof. A. Bensoussan, Prof. J. L. Lions (eds.)

Lecture Notes ni
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Edited by A.V. Balakrishnan and M.Thorna
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lanoitanretnI Symposium, Versailles, December 13-17, 1976
AIRI LABORIA
Institut de Recherche d'lnformatique et d'Automatique
Rocquencourt- France
Edited by A. Bensoussan and .J .L Lions
Springer-Verlag
Berlin. Heidelberg • New York 1977
Series Editors
A. .V Balakrishnan • M. Thoma
Advisory Board
A. G. .J MacFarlane • H. Kwakernaak • Ya. Z. Tsypkin
Editors
Prof. A. Bensoussan
Prof. .J L. Lions
IRIA LABORIA
Domaine de Voluceau - Rocquencourt
F-?8150 Le Chesnay/France
With 104 Figures
ISBN 3-540-08406-1 Springer-Verlag Berlin Heidelberg NewYork
ISBN 0-387-08406-1 Springer-Verlag NewYork Heidelberg Berlin
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© by Springer-Verlag Berlin Heidelberg 1977
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This symposium is organized by the Institut de Recherche d'Informatique et
d'Automatique under the sponsorship of :
• Association Franfaise pour la Cyberndtique Economique et Technique (AFCET)
• International Institute for Applied Systems Analysis {IIASA)
• International Federation of Automatic Control (IFAC) :
- Technical Committee of Systems Engineering
- Technical Committee of Theory
eC colloque est organis6 par l'Institut de Recherche d'Informatique et d'Automatique
IRIA sous le patronage de :
• Association Fran~aise pour la Cybern6tique Economique et Technique (AFCET)
• International Institute for Applied Systems Analysis (IIASA)
• International Federation of Automatic Control (IFAC) :
- Technical Committee of Systems Engineering
- Technical Committee of Theory
ORGANIZATION COMMITTEE
~ITIMOC D'ORGANISATION
°A Bensoussan (IRIA-LABORIA - Universit6 Paris IX-Dauphine)
J. Casti (IIASA)
P. FAURRE (AFCET-IRIA/LABORIA)
H.K. Kwakernaak ( IFAC-Twente University)
J.L. LIONS (Coll6ge de France - IRIMLABORIA)
Y. Sawaragi (Kyoto University)
SCIENTIFIC SECRETAR Y
SECRETAIRE SCIENTIFIQUE
.M NIBOR )AIROBAL/AIRI(
ORGANISATION
SYMPOSIUM SECRETARIAT
Th. Bfieheteau (IRIA/External Relations Department)
Table of Contents -- Table des matieres
CONTROL OF DISTRIBUTED PARAMETER SYSTEMS
CONTROLE DES SYST~MES DISTRIBU~S
Optimal Exploitation of a Spatially Distributed Fishery
Frank C. Roppensteadt ..........................................
Distributed Parameter Nuclear Reactor Optimal Control
Spyros T~afestas ............................................... 19
On a Class of Optimization Problems Involving Domain
Variations
P.K.C. Wang .................................................... 49
Parameter Estimation in Distributed Chemical Systems
Bmuno van den Boseh ............................................ 61
On-Line Estimation and Identification of a Non-Linear,
Distributed Parameter Process: The Dehydrogenation of
Ethylbenzene to Form Styrene in a Tubular, Fixed-Bed,
Catalytic Reactor
W. Fred Ramirez, David E. Clough ............................... 77
Some Problems Arisinq in Distributed P~rameter Reactor
Systems
Y. Kurodaj A. Mak4no ........................................... 93
Likelihood Ratios for Time-Continuous Data Models: The
White Noise Approach
A.V. BaZak~ishnan .............................................. 102
Estimates for Sequences Biorthogonal to Certain Complex
Exponentials and Boundary Control of the Wave Equation
H.O. Fattorini ................................................. iii
The Application of Distributed Parameter State Estimation
Theory to'a Metallurgical Casting Operation
F.K. Greiss, W.H. Ray .......................................... 125
Boucle ouverte et boucle ferm~e adapt~e pour les syst~mes
distribu~s, un exemple d'application a la commande en
temps r~el d'un processus
M. Sor4ne ...................................................... 145
V
INDUSTRIAL ROBOTICS AND APPLICATIONS OF MICROPROCESSORS
ROBOTIQUE INDUSTRIELLE ET APPLICATIONS DES MICROPROCESSEURS
Control of Industrial Robots by means of Microprocessors
E. Freund, M. Syrbe ............................................ 167
Categorization and Status of Assembly Research
J.L. Nevins, D.E. Whitney ...................................... 186
Tactile Imaging for Component Recognition
C.J. Page, A. Pugh, W.B. Heginbotham ........................... 209
Design and Analysis of Mass Production of Automotive Parts
Louis J. Quagliata, Tze-Thong Chien, Albert L. Hopkins Jr.,
J. Scott Rhodes ................................................ 232
SYSTEMS ANALYSIS IN PROBLEMS OF ENERGY
APPLICATION DE L'ANALYSE DE SYST~MES AUX PROBL~MES DE L'ENERGIE
Macro-Economic Models, Differential Topology and Energy
Strategies
.W Hdfele, R. B~rk, M. Breitenecker, C. Riedel ................. 265
Systems Aspects of Large Scale Solar Energy Conversion
J. Weingart .................................................... 290
Analyse de syst~mes et les probl~mes pos~s par
l'~nergie solaire
J.L. Abatut .................................................... 317
Resilience and its Application to Energy Systems
H.R. Gruemm .................................................... 331
Stochastic Modeling of Natural Resource Discovery - The
Case of Oil and Gas
G. Kaufmann, E. Barouch ........................................ 334
Optimisation du champ de miroirs d'une centrale
solalre a concentation Ponctuelle
P. Courr@ge, J.M. Lasry ........................................ 352
APPLICATIONS OF CONTROL THEORY
APPLICATIONS DE LA TH~ORIE DU CONTROLE
Application of Control Theory to Population Policy
Huibert Kwakernaak ............................................. 359
Some Aspects on the Control of Large Tankers
K.J. Astr~m .................................................... 379
Vi
System Theory and Some of its Applications in Ecology,
Water Resources and Energy
J. Casti ....................................................... 400
Control Systems With Delays: Areas of Applications and
Present Status of the Linear Theory
M.C. Delfour, A. Manltius ...................................... 420
Applications de la Th~orie du Controle dans les Aci~ries
I.D. Landau, B. Courtiol, A. Fracon, L. Muller ................. 438
Multilevel Structures for Control Systems
W. Findeisen ................................................... 448
An Application of Optimization Methods to Spatial Control
of Nuclear Reactor Cores
J. Karpplnen, B. Blomsnes ...................................... 474
Free Boundary Problems in Optimal Control
J.A. Bather .................................................... 499
A Selection Problem Associated to a Renewal Process
J. Zabczyk ..................................................... 508
Existence and Uniqueness of Stationary Distributions in a
Model of Roll-Back-Recovery
E. Gelenbe ..................................................... 516
CONTROL OF ECONOMIC SYSTEMS
CONTROLE DES SYST~MES ~CONOMIQUES
Some Application of Control and System Theory in a Model
of Dynamic Open Economy
Masanao Aoki ................................................... 533
Systemes cybernetiques et Problemes de la gestion des processus
~conomiques
N. Molsseev .................................................... 547
L'Application du controle aux modules Macroeconomiques
Francais: Exp~rlences et perspectives d'avenir
M. Deleau, B.A. Oudet, P. Malgrange ............................ 576
An Experiment on Controlling a National Economy
J.H. Westcott .................................................. 591
Time-Varying Models in Econometrics: Identifiability
and Estimation
Kent D. Wall ................................................... 612
M~thodes d'optlmisatlon adapt~es aux ModUles Macro-
economiques
P. Nepomiastchy ................................................ 626
IIV
ENVIRONMENT AND POLLUTION
ENVIRONNEMENT ET POLLUTION
A Decision Making Model for Environmental Management
Systems
.~ Sa~aPagl, K. Inoue~ H. Nakayama ............................. 639
Integrated Model for Predicting the Regional Pollution
for the Local Governments
Akira Muramatsu, Takakuni Watanabe, Hitoshi Akaike ............. 657
Environment Potential Survey by Remote Sensing
J. Iisaka ...................................................... 669
Long Term Policy Assessment of Energy/Environment
Futures: A Systems Approach
W.K. Foell, J. Buehrlng, W. Buehring, R. Dennis, K. Ito,
R. Keeney, B. Lapillonne ....................................... 698
A Mathematical Model for Finding Compromises for
Siting of Industrial Plants
G. Ralbritter .................................................. 728
On Temporal and Spatial Structure in Modes Systems and
Application to Ecological Patchiness
Daniel M. Duboi8 ............................................... 745
CONTROL OF DISTRIBUTED
PARAMETERS
CONTROLE DES
SYSTi~MES DISTRIBUES

OPTIMAL EXPLOITATION OF A SPATIALLY DISTRIBUTED FISHERY
Frank C. Hoppensteadt
Courant Institute of Mathematical Sciences
New York University
251 Mercer Street
New York, NY 10012
Abstract
Exploitation of a fish population distributed in a habitat bounded
on one side by a breeding ground and on the other by an unfavorable en-
vironment is studied. The population's dynamics on the breeding
grounds are assumed to be described by a simple depensatory function.
The effects on this population of harvesting by a fishing fleet are de-
termined as maximum effort and harvesting quotas are varied. In
particular, threshold values for these parameters are derived beyond
which an open access fishery collapses. Competition with an external
fleet and dynamic optimization are discussed briefly.
This work was performed at the University of British Columbia in
a Workshop on Mathematical Problems in Ecology, organized by Professor
Donald A. Ludwig, July, 1976. The author gratefully acknowledges his
hospitality and that of the University of British Columbia.