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
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;
Conference_Titel :
SICE 2002. Proceedings of the 41st SICE Annual Conference
Print_ISBN :
0-7803-7631-5
DOI :
10.1109/SICE.2002.1196572
