Recently, attention has been focused on the (open left half plane) stability of a family of polynomials having complex coefficients with their real and imaginary parts each varying in a diamond. It has been concluded that the stability of a diamond family of polynomials is equivalent to the stability of the specific 16 edge polynomials of the diamond. In this paper, this result is extended to n-variate case. It is proved that the scattering Hurwitz property of the certain 16n diamond edge polynomials can guarantee the scattering Hurwitz property of the whole diamond family of n-variate complex polynomials.
|Original language||English (US)|
|Number of pages||6|
|Journal||IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications|
|State||Published - Aug 1992|
All Science Journal Classification (ASJC) codes
- Electrical and Electronic Engineering