论文信息 - Conditions for the 2-D characteristic polynomial of a matrix to be very strict Hurwitz

Conditions for the 2-D characteristic polynomial of a matrix to be very strict Hurwitz

Conditions for the bivariate characteristic polynomial of a matrix to be very strict Hurwitz are presented. These conditions are based on the necessary and sufficient conditions for the existence of positive definite solutions to the 2-D continuous Lyapunov equation. It is shown that such an existence is only sufficient but not necessary for the characteristic polynomial to be very strict Hurwitz. Further, the testing of zeros at infinite distant points requires the use of a class of very strict positive real functions. >

Panajotis Agathoklis

[1] Brian D. O. Anderson,et al. Stability and the matrix Lyapunov equation for discrete 2-dimensional systems , 1986 .

[2] P. Agathoklis,et al. On the various forms and methods of solution of the Lyapunov equation for 2-D discrete systems , 1985, 1985 24th IEEE Conference on Decision and Control.

[3] M. Swamy,et al. Generation of two-dimensional digital functions without nonessential singularities of the second kind , 1980 .

[4] J. Guiver,et al. On test for zero-sets of multivariate polynomials in noncompact polydomains , 1981, Proceedings of the IEEE.

[5] H. Reddy,et al. Modified Ansell's method and testing of very strict Hurwitz polynomials , 1987 .

[6] Panajotis Agathoklis,et al. The Lyapunov equation for n-dimensional discrete systems , 1988 .

[7] Petros A. Ioannou,et al. Frequency domain conditions for strictly positive real functions , 1987 .

[8] M. Fahmy,et al. Stability and overflow oscillations in 2-D state-space digital filters , 1981 .