Title :
A 2-D algebraic stability test
Author :
Endaula, Musokes
Author_Institution :
Dept. of Electr. Eng., Temple Univ., Philadelphia, PA, USA
Abstract :
Two approaches are used to develop a 2-D algebraic stability test and to establish a link between the frequency-dependent Lyapunov equation and the frequency-dependent Routh algorithm. The 2-D algebraic test procedure consists of two steps: (1) Computing the principal minors of the frequency-dependent Bezoutian and checking if they are positive at one point; and (2) computing the last principal minors of the frequency-dependent Bezoutian. The 1-D discrete Routh algorithm is used to test the positivity of the symmetric polynomial associated with the last principal minor of the Bezoutian
Keywords :
Lyapunov methods; stability; 2-D algebraic stability test; frequency-dependent Bezoutian; frequency-dependent Lyapunov equation; frequency-dependent Routh algorithm; last principal minors; positivity; principal minors; symmetric polynomial; Artificial intelligence; Controllability; Frequency dependence; Nonlinear equations; Polynomials; Riccati equations; Stability criteria; Stacking; Testing; Transfer functions;
Conference_Titel :
Circuits and Systems, 1988., IEEE International Symposium on
Conference_Location :
Espoo
DOI :
10.1109/ISCAS.1988.14947
