Systems Seminar
On Robustness and the Zeros of Multivariable Polynomials
Prof. Bob Barmish
UW ECE Department
Abstract
Many robustness problems can be reduced to testing whether a given
multivariable polynomial f(x) has a zero with x in the unit cube X. The
motivation for the research to be described in this seminar is that results
in the literature, aimed at solution of this general problem, involve
computational effort which increases exponentially with respect to the
dimension of x and the degree of f(x). To address this undesirable growth
rate, we introduce the notions of "conditioning" and "volume of violation"
into a reformulation of the robustness problem. Subsequently, we describe a
general method for robustness analysis, involving symbolic integration,
which is shown to work well whenever the pair (f,X) is not ill-conditioned.
Time and Place: Mon., Mar. 10, at 3:30 pm in 4610 Engr. Hall.
*** NOTE SPECIAL DAY ***
SYSTEMS SEMINAR WEB PAGE:
http://www.cae.wisc.edu/~gubner/seminar/