Parametric Computation of Hα Norm of a System

While the computation of H
_infin
norm of a system is one of the most important theme in H
_infin
control theory, most of the algorithms proposed so far are numerical ones and cannot be applied to the system with a parameter. In this paper, we propose an algorithm to compute H
_infin
norm of a system with a parameter k. The H
_infin
norm is expressed in the form of 1/radic(Psi
_q
(f(q, k), l
_i
)) (v
_i
i+1
), 1/radic(Psi
_q
(f(q, k), m
_i
)) (k=v
_i
) (v
_i
isinR, l
_i
, m
_i
isinN), where Psi
_q
(f(q, k), l) denotes l-th real root of bivariate polynomial f(q, k) with respect to q