DocumentCode :
393822
Title :
Generalized Nyquist criterion of continuous-time periodic systems and its implementation (II): numerical computations and convergence
Author :
Zhou, Jun ; Hagiwara, Tomomichi
Author_Institution :
Dept. of Electr. Eng., Kyoto Univ., Japan
Volume :
3
fYear :
2002
fDate :
5-7 Aug. 2002
Firstpage :
1706
Abstract :
For Part I see ibid. p.1700 (2002). In this second part, we consider the numerical implementation problem of the generalized Nyquist stability criterion described in Part I, derived by means of the 2-regularized determinants about the harmonic return difference operators of finite-dimensional linear continuous-time periodic systems. Numerical implementation of this generalized Nyquist criterion is developed through the staircase truncation on the harmonic return difference operator. To illustrate the results of the second part, the asymptotic stability of the lossy Mathieu differential equation is investigated.
Keywords :
Nyquist criterion; asymptotic stability; continuous time systems; convergence; differential equations; multidimensional systems; time-varying systems; Mathieu differential equation; Nyquist criterion; asymptotic stability; continuous-time systems; finite-dimensional systems; harmonic return difference operator; linear systems; periodic systems; stability criterion; staircase truncation; Asymptotic stability; Convergence of numerical methods; Differential equations; Output feedback; Stability analysis; Stability criteria;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
SICE 2002. Proceedings of the 41st SICE Annual Conference
Print_ISBN :
0-7803-7631-5
Type :
conf
DOI :
10.1109/SICE.2002.1196573
Filename :
1196573
Link To Document :
بازگشت