SCIENTIFIC PROGRAMS AND ACTIVITIES

November 28, 2014

GENERAL SCIENTIFIC ACTIVITIES July 1991- June 1992

Control Theory and Geometric Mechanics Program (January - July 1992)

The Institute began its scientific activities with a half year start up program in control theory.
The program committee consists of:
Bruce Francis (Electrical Engineering Department, University of Toronto),
Ivan Kupka (Mathematics Department, University of Toronto),
William F. Shadwick (Pure Mathematics Department, University of Waterloo)
George Zames (Electrical Engineering Department, McGill University).

An overview of the control theory activity is given below.

WEEKLY SEMINAR SERIES September 1991 - July 1992


WORKSHOPS March - June 1992

June 28 - 30, 1992 --
Workshop on Problems in Sensing, Identification and Control of Flexible Structures

Workshop Coordinator: K.A. Morris
Flexible structures arise in several important areas of application, for instance: antenna control, robotics and large space structures. Satisfactory control of these systems is hampered by difficulties related to sensing and identification. The first day of this workshop was a short course on identification of flexible structures conducted by Dr. Jer-Nan Juang of the NASA Langley Research Centre. The remainder of the workshop consisted of talks on current rearch by engineers and mathematicians working in structural control. There was also a tour of the flexible structuress lab facility at the University of Waterloo.

June 12, 1992 -- Mechanics Day
Coordinator: J. Marsden (The Fields Institute and University of California at Berkeley)
This worksop was a celebration of the 25th anniversary of the publication of Foundations of Mechanics by Ralph Abraham and Jerrold E. Marsden. It featured lectures from many people who have been prominent in the development and application of geometric techniques in mechanics and related areas in science and engineering.

June 6-9, 1992 -- Geometric Variational Problems and Optimal Control
Coordinators V. Jurdjevic (University of Toronto), I. Kupka (University of Toronto), W. Shadwick (The Fields Institute)
The interplay between geometry and variational problems is a theme which goes back to the work of Lagrange. The problems posed by optimal control theory, mathematical physics and differential geometry have all led to the study of constrained variational problems from an essentially geometric point of view. The Pontryagin Maximum Principle, the Dirac Theory of Constraints and the Griffiths-Bryant approach to geometric variational problems may all be thought of as methods for extracting the geometric content of a constrained variational problem. The purpose of this workshop was to bring together practitioners from these various fields and to explore other applications of geometric ideas and techniques in non-linear control theory.

June 1- 4, 1992 --Research Seminar on the Method of Equivalence
William F. Shadwick (University of Waterloo), Robert B. Gardner (University of North Carolina)

May 31 - June 4, 1992 -- Workshop on Control of Molecular Systems
Coordinators: Mohammed Dahleh (University of California at Santa Barbara), Anthony Peirce (McMaster University)
The application of systems theory to the control of molecular systems is a new research area which has the potential to produce new technology for manipulating and understanding molecular systems. This five day workshop promoted interdisciplinary collaboration between control theorists, physicists and chemists.

March 29-31, 1992 --
Workshop on Hamiltonian and Gradient Flows, Algorithms and Control

March 8-10, 1992 --
Workshop on The Falling Cat and Related Problems

March 8-10, 1992 --
Jerrold Marsden (Director, The Fields Institute)
Lecture Series on Geometry and Control of Coupled Structures

May 3 - 7, 1992 -- Advanced Digital Control
Tongwen Chen (University of Calgary), Bruce Francis (University of Toronto)
Demonstration by: Jacob Apkarian (SPAR Aerospace, Toronto)

April 8 - May 13, 1992 -- Nonlinear Control Theory
R.B.Gardner (University of North Carolina), W.F. Shadwick (University of Waterloo)

COURSES February - June 1992

June 1 - 4, 1992
Method of Equivalence

Robert B. Gardner, Mathematics Department, University of North Carolina/Fields Institute
William F. Shadwick, Pure Mathematics Department, University of Waterloo/Fields Institute

May 3 - 7, 1992
Advanced Digital Control

Tongwen Chen, Electrical Engineering Department, University of Calgary
Bruce Francis, Electrical Engineering Department, University of Toronto
Demonstration by: Jacob Apkarian, SPAR Aerospace, Toronto

April 8 - May 13, 1992
Nonlinear Control Theory

Robert B. Gardner, Mathematics Department, University of North Carolina/Fields Institute
William F. Shadwick, Pure Mathematics Department, University of Waterloo/Fields Institute

March 8 - 10, 1992
Geometry and Control of Coupled Structures

Jerrold E. Marsden, Fields Institute and Mathematics Department, University of California, Berkeley

February 12 - March 18, 1992
Nonlinear Control Theory

Velimir Jurdjevic, Mathematics Department, University of Toronto
Ivan Kupka, Mathematics Department, University of Toronto

OFFICIAL OPENING OF THE FIELDS INSTITUTE June 11, 1992

DISTINGUISHED LECTURE SERIES June 1992

June 11, 1992 -- held at the University of Waterloo
Phillip Griffiths (Institute for Advaced Study)
Exterior Differential Systems (general talk),

June 11, 1992 --
Stephen Smale (University of California, Berkeley)
Bezout's Theorem and Complexity Theory

June 10 - 11, 1992 --, held at the University of Waterloo
Phillip Griffiths (Institute for Advanced Study)
Characteristic Cohomology of Differential Systems; Conservation Laws for Differential Systems


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