On the Determination of the Strong Stabilizability of an n-Dimensional Linear System
Date: July 19th (Friday)
Time: 16:10-16:30
Abstract
An n-dimensional linear system described by a rational transfer function is stable
by definition if the function is free from 0 on the n-D polydisc in the complex space. A
system is said to be strongly stabilizable if there exists a stable compensator that makes the
system stable. A topological condition was recently derived by Shiva Shankar[1] to
determine whether a system can can be strongly stabilized or not. In this talk we show that in
certain restricted case this topological condition can be reduced to a geometrical one and can
be solved based the cylindrical algebraic decomposition of complex algebraic variety.
[1] Shiva Shankar, An Obstruction to the Simultaneous Stabilization of Two n-D plants,
Acta Applicandae Mathematicae 36:289-301,1994
