Ebook: Variable Structure Systems with Application to Economics and Biology: Proceedings of the Second US-Italy Seminar on Variable Structure Systems, May 1974
- Tags: Economics/Management Science general, Biomedicine general, Life Sciences general
- Series: Lecture Notes in Economics and Mathematical Systems 111
- Year: 1975
- Publisher: Springer-Verlag Berlin Heidelberg
- Edition: 1
- Language: English
- pdf
The proceedings of the Second US-Italy Seminar on Variable Structure Systems is published in this volume. Like the first seminar, its conception evolved from common research interests on bilinear systems at the Istituto di Automatica of Rome University and at the Electrical and Computer Engineering Department of Oregon State University. Again, the seminar was focused on variable structure systems in general. In this case, however, emphasis is given to applications in biology and economics along with theoretical investi gations which are so necessary to establish a unified theory and to motivate further developments in these applications of social significance. By bringing together the talents of social and biological scientists with those of engineers and mathematicians from throughout Italy and the United States, the seminar was intended to yield a cross-pollination of significant results and a base for more meaningful future research. The editors are encouraged by the progress, with which they hope the reader will agree, is made in this direction. No pretense is made, however, that completely satisfactory integration of theore tical results and applications has been accomplished at this time. Among the more important conclusions which have resulted from this seminar are that bilinear and more general variable structure models arise in a natural manner from basic principles for certain biological and economic processes.
Content:
Front Matter....Pages N2-VI
Stochastic Bilinear Partial Differential Equations....Pages 1-43
Time-Varying Bilinear Systems....Pages 44-53
On the Reachable Set for Bilinear Systems....Pages 54-63
Algebraic Realization Theory of Two-Dimensional Filters....Pages 64-82
Controllability of Bilinear Systems....Pages 83-100
Periodic Control of Singularly Perturbed Systems....Pages 101-115
Estimation for Bilinear Stochastic Systems....Pages 116-137
A Probabilistic Approach to Identifiability....Pages 138-162
Some Examples of Dynamic Bilinear Models in Economics....Pages 163-169
Bilinearity and Sensitivity in Macroeconomy....Pages 170-199
Variable Parameter Structures in Technology Assessment and Land Use....Pages 200-205
An Optimization Study of the Pollution Subsystem of the World Dynamics Model....Pages 206-232
A Basis for Variable Structure Models in Human Biology....Pages 233-243
The Immune Response as a Variable Structure System....Pages 244-264
Nonlinear Systems in Models for Enzyme Cascades....Pages 265-277
Mathematical Model of the Peripheral Nervous Acoustical System : Applications to Diagnosis and Prostheses....Pages 278-298
A Systems Analysis of Cerebral Dehydration....Pages 299-321
Back Matter....Pages 322-323
Content:
Front Matter....Pages N2-VI
Stochastic Bilinear Partial Differential Equations....Pages 1-43
Time-Varying Bilinear Systems....Pages 44-53
On the Reachable Set for Bilinear Systems....Pages 54-63
Algebraic Realization Theory of Two-Dimensional Filters....Pages 64-82
Controllability of Bilinear Systems....Pages 83-100
Periodic Control of Singularly Perturbed Systems....Pages 101-115
Estimation for Bilinear Stochastic Systems....Pages 116-137
A Probabilistic Approach to Identifiability....Pages 138-162
Some Examples of Dynamic Bilinear Models in Economics....Pages 163-169
Bilinearity and Sensitivity in Macroeconomy....Pages 170-199
Variable Parameter Structures in Technology Assessment and Land Use....Pages 200-205
An Optimization Study of the Pollution Subsystem of the World Dynamics Model....Pages 206-232
A Basis for Variable Structure Models in Human Biology....Pages 233-243
The Immune Response as a Variable Structure System....Pages 244-264
Nonlinear Systems in Models for Enzyme Cascades....Pages 265-277
Mathematical Model of the Peripheral Nervous Acoustical System : Applications to Diagnosis and Prostheses....Pages 278-298
A Systems Analysis of Cerebral Dehydration....Pages 299-321
Back Matter....Pages 322-323
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