Title :
A geometric root distribution criterion
Author :
Prakash, M.N. ; Fam, A.T.
Author_Institution :
Bell Laboratories, South Plainfield, NJ, USA
fDate :
4/1/1982 12:00:00 AM
Abstract :
A new criterion for stability of monic real polynomials with respect to the unit circle is developed from a purely geometric point of view. This criterion is connected to the Schur-Cohn criterion resulting in generalizing the developed criterion to root distribution. Fundamental to the results is a geometric transformation related to the structure of the stability domain in the space of coefficients of the polynomial.
Keywords :
Stability; Automatic control; Control systems; Couplings; Equations; Feedback; Interconnected systems; Nonlinear control systems; Nonlinear systems; Stochastic systems; Variable structure systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1982.1102939
