[Fall 1998
Colloquiums]
[Department Homepage]
DEPARTMENT OF MATHEMATICS AND STATISTICS
OAKLAND UNIVERSITY
ROCHESTER, MICHIGAN 48309
Elena Litsyn
The Research Institute of the College of Judea and Samaria, Israel
and
Rutgers University
Stabilization of Linear Differential Systems
Via Hybrid Feedback Controls
Abstract
We study so-called "hybrid feedback stabilizers" for an arbitrarily
general system of linear differential equations. We prove that under assumptions
of controllability and observability there exists a hybrid feedback output
control which makes the system asymptotically stable. The control is designed
by making use of a discrete automaton implanted into the system's dynamics.
In general, the automaton has infinitely many locations, but it gives rise
to a "uniform" (in some sense) feedback control. The approach
we propose goes back to the classical feedback control technique combined
with some ideas used in the stability theory for equations with time-delay.
372 Science and Engineering Building
Tuesday, December 8, 1998
3:004:00 P.M.
Refreshments at 2:303:00 P.M. in Room 368, Science and Engineering Building