DocumentCode
1731278
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
Volume
1
fYear
2002
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Circuits and Systems, 2002. ISCAS 2002. IEEE International Symposium on
Print_ISBN
0-7803-7448-7
Type
conf
DOI
10.1109/ISCAS.2002.1009826
Filename
1009826
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