Connections, Foundations, and Edges:
Connecting Theory & Applications Across Complex Systems

A Celebration to Mark John Doyle's 50th Birthday

July (14) 15-16 (17), 2004 / Caltech
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John Doyle
Professor Doyle is the John G Braun Professor of Control and Dynamical Systems, Electrical Engineering, and Bioengineering at the California Institute of Technology. He earned his B.S. and M.S. degrees from the Massachusetts Institute of Technology, and his Ph.D. from University of California in 1984. Since then, he has done pioneering work in a broad variety of fields connected to control and dynamical systems, as well as established many athletic records in the U.S. and abroad.

Invited Talks: Thursday, Friday (July 15-16)
This symposium is designed to bring together experts in mathematics, physics, biology, and networking in an interactive exchange of ideas on the design, analysis, and control of complex systems. A major goal is to bring domain experts together who normally might not interact, to explore common features of their work that can mutually reinforce and synergize theory and applications in their fields. The challenges facing experts in these domains have striking parallels, and their solutions are linked by common constraints. This symposium will be a unique, open discussion of the threads that lead to a broader understanding of the mathematical tools necessary to tackle large problems in each area. Leaders in the areas of communications, internet, computational complexity, biophysics, biological systems, medicine, quantum physics, statistical physics, engineering, and mathematics will come together in multidisciplinary sessions, moderated and facilitated by other experts in these fields. The workshop will also produce a publication through SIAM for which the speakers will join forces with collaborators and especially with current students to elaborate on their topics in light of the workshop findings.

Background
Just 20 years ago, the 1984 ONR/Honeywell workshop on robust control helped turn a nascent and largely fringe topic into the heart of mainstream control theory. One of the most striking features of this workshop and the resulting renaissance in control theory was that the subject simultaneously became much more sophisticated mathematically, and more vigorously applied to practical applications, belying the common wisdom on the theory/practice gap. Professor Doyle's work was the explicit centerpiece of the 1984 workshop, and he actually delivered much of the first two day's tutorials, with a third day of invited talks by experts. The current workshop will focus on the invited talks, with a one-day tutorial to help create a common background, primarily intended for students. The 1984 workshop was planned for 20 people, but 120 attended, and the tutorial notes became among the most-cited references in the subject. We hope this 2004 event will have even broader impact, helping move a nascent but promising approach to a unified theory of complex systems from a fragmented discipline into the mainstream of science and technology.There are reasons for optimism. In the last five years the traditional control and dynamical systems (CDS) community has branched out dramatically into application areas that cut across all scientific endeavors. Caltech CDS and friends have been at the front and center of this trend, already impacting areas as diverse as internet protocols, fluid mechanics, systems biology, ecology, finance, and multiscale physics. Many CDS students and collaborators have already brought novel ideas and tools from controls to areas outside their traditional training to influence these diverse fields. But it is increasingly clear that progress in the different domains would be greatly improved by dialog across disciplines, as Caltech CDS has become the hub of an ever expanding wheel of research, but one with more spokes than rim. This fragile situation would benefit from more robust connections, exactly the aim of this symposium.Engineers and biologists need to talk to each other, and to theorists who can develop a common foundation. Their communication is hampered first by language barriers with each area super-specialized in training and research. The communication requires a hard-core re-tooling, a considerable effort to which few scientists are willing and/or able to commit. If an engineer wants to inform biology, time and effort has to be put aside for learning the details and larger structure of biology, a daunting task. This workshop pulls together many people who have made that commitment at various stages in their careers, often influenced or directly motivated by their interactions with Doyle and CDS faculty, and their common language is mathematics. An underlying theme of this workshop is to look forward to ways in which future scientists can be educated in a common set of computational and quantitative methods, to prepare them to interact broadly from the time they are students and throughout their academic careers.

Sponsored by the Air Force Office of Scientific Research and the Center for the Mathematics of Information (Information Science and Technology, California Institute of Technology).