Title :
Stability of a set of multivariate complex polynomials with coefficients varying in diamond domain
Author :
Shi, Y.Q. ; Zhou, S.F.
Author_Institution :
Dept. of Electr. & Comput. Eng., Newark Inst. of Technol., NJ, USA
fDate :
8/1/1992 12:00:00 AM
Abstract :
Recently, attention has been focused on the (open left half plane) stability of a family of polynomials with 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. This result is extended to the 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
Keywords :
control system analysis; polynomials; signal processing; stability; complex coefficients; diamond domain; multivariate complex polynomials; n-variate case; scattering Hurwitz property; stability; Chaos; Circuits; Filtering theory; Multidimensional systems; Passive filters; Polynomials; Power electronics; Regulators; Robust stability; Scattering;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
