### Optimization and Systems Theory Seminar

Tuesday, August 31, 1999, 11.00-12.00, Room 3721, Lindstedtsv. 25

**Professor John
C. Doyle **

Department of Control and Dynamical Systems

California Institute of Technology

Pasadena, California

USA

E-mail: doyle@cds.caltech.edu

####
Fundamental tradeoffs in robustness of complex systems

We examine the tradeoffs involved in designing complex systems that
are robust to uncertainties both in their environment and in the
component from which they are built. We introduce the first of what we
expect will be one of many fundamental mathematical laws of
robustness, originally due to Bode, but both simplified and
generalized. We expect robustness to play an important role in future
complex systems as physical laws associated with matter, energy,
light, and quanta, and more recent mathematical laws of information
and computation. We also motivate the discussion with a variety of
examples from familiar biological and engineering systems.

Calendar of seminars

*Last update: August 30, 1999 by
Anders Forsgren,
anders.forsgren@math.kth.se.
*