Title :
The Cauchy-Floquet factorization by successive Riccati transformations
Author :
van der Kloet, P. ; Neerhoff, F.L.
Author_Institution :
Dept. of Electr. Eng., Delft Univ. of Technol., Netherlands
fDate :
6/24/1905 12:00:00 AM
Abstract :
Scalar linear time-varying systems are addressed. In particular, a new factorization method for the associated scalar polynomial system differential operator is presented. It differs from the classical results due to Cauchy and Floquet, in that it is based upon successive Riccati transformations of the Frobenius companion system matrix. As a consequence, the factorization is obtained in terms of the earlier introduced dynamic eigenvalues.
Keywords :
Riccati equations; eigenvalues and eigenfunctions; linear systems; matrix algebra; polynomials; time-varying systems; Cauchy-Floquet factorization; Frobenius companion system matrix; dynamic eigenvalues; linear time-varying SISO systems; scalar linear time-varying systems; scalar polynomial system differential operator; single-input single-output systems; successive Riccati transformations; Eigenvalues and eigenfunctions; Frequency; Laboratories; Matrices; Polynomials; Riccati equations; Terminology; Time varying systems;
Conference_Titel :
Circuits and Systems, 2002. ISCAS 2002. IEEE International Symposium on
Print_ISBN :
0-7803-7448-7
DOI :
10.1109/ISCAS.2002.1009826
