講師：
Jan
C. Willems 教授
Visiting professor
Research group on SISTA, Dept. of Electrical Engineering,
K.U. Leuven
概要：
We will first introduce some basic system theory concepts for systems described
by linear constant coefficient PDE's, within the behavioral framework. Issues
as controllability and observability will be briefly discussed, taking Maxwell's
equations as a paradigmatic example. We then turn our attention to dissipative
systems. The notion of a dissipative dynamical system was introduced in the
early 1970's. It generalizes the idea of a Lyapunov function to `open' dynamical
systems. This concept has found applications in diverse areas of systems and
control, for example, in stability theory, system norm estimation, robust
control, etc. Of particular importance is the question of construction of
a storage function. It is this problem that brought LMI's to the foreground.
The main aim of this talk is the construction of storage functions for systems
described by linear PDE's and supply rates that are quadratic expressions
in the system variables and their derivatives. The construction of a storage
function then reduces to factorization of polynomial matrices in many variables.
This leads straight to Hilbert's 17-th problem and the sum-of-squares problem.
連絡先：
名古屋大学大学院工学研究科
機械理工学専攻
藤本健治
Tel/Fax: 052-789-3854
