Criteria for Schur stability and D-stability of a family of polynomials constrained with l/sup p/-norm

摘要

The authors give two criteria for robust stability of a family of polynomials with the coefficients constrained with the l/sup p/-norm, based on frequency characteristics. One is for Schur stability. The other is for D-stability where D denotes an arbitrary domain whose boundary delta D consists of the union of piecewise regular arcs. Here, D-stability means that all roots of the characteristic polynomial lie in a prespecified domain D.