A Criterion for lp-Robust D-stability of Linear Time-Invariant Systems

A Criterion for lp-Robust D-stability of Linear Time-Invariant Systems Kazuyuki JOYA* and Katsuhisa FURUTA** This paper treats D-stability of a family of polynomials where D is an arbitrary domain or the union of domains which do not intersect each other. The main result of this paper is a criterion with which we can easily check robust D-stability of a family of polynomials whose coefficients are constrained with lp-norm. A numerical example is given to show usefulness of the criterion.