DocumentCode
393821
Title
Generalized Nyquist criterion of continuous-time periodic systems and its implementation (I): theoretic results
Author
Zhou, Jun ; Hagiwara, Tomomichi
Author_Institution
Dept. of Electr. Eng., Kyoto Univ., Japan
Volume
3
fYear
2002
fDate
5-7 Aug. 2002
Firstpage
1700
Abstract
This paper is divided into two parts. In the first part, we establish a generalized Nyquist stability criterion to finite-dimensional linear continuous-time periodic systems by means of the 2-regularized determinants about the harmonic transfer operator, which is a Hilbert-Schmidt operator. The generalized Nyquist stability criterion can apply to most practical periodically time-varying continuous-time systems with standard assumptions about the system matrices.
Keywords
Nyquist criterion; continuous time systems; eigenvalues and eigenfunctions; multidimensional systems; stability; time-varying systems; Hilbert-Schmidt operator; continuous-time systems; eigenvalues; finite-dimensional systems; generalized Nyquist criterion; harmonic transfer operator; periodic systems; stability criterion; time-varying systems; Asymptotic stability; Continuous time systems; Convergence; Eigenvalues and eigenfunctions; Feedback; Harmonic analysis; Stability analysis; Stability criteria; System testing; Time varying systems;
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.2002.1196572
Filename
1196572
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