Unified canonical forms for linear time-varying dynamical systems under D-similarity transformations. I

Author

Zhu, J. ; Johnson, C.D.

Author_Institution

Dept. of Electr. & Comput. Eng., Alabama Univ., Huntsville, AL, USA

fYear

1989

fDate

26-28 Mar 1989

Firstpage

74

Lastpage

81

Abstract

The notions of D-characteristic equations, essential D-eigenvalues, and S1 and D1 canonical forms for vector and scalar linear differential equation (VLDE and SLDE) operators are introduced. Using the notion of D-similarity, an important relation between the vector operator and the SLDE operator is established, and an explicit procedure for reducing a VLDE operator to an SLDE operator via D-similarity transformation is derived

Keywords

linear differential equations; linear systems; transforms; D-characteristic equations; D-similarity transformations; D1 canonical forms; S1 canonical forms; dynamical systems; essential D-eigenvalues; linear systems; scalar linear differential equation; time-varying systems; unified canonical forms; vector linear differential equation operators; Differential equations; Eigenvalues and eigenfunctions; Linear systems; Mathematical model; Nonlinear equations; Riccati equations; Stability; Superluminescent diodes; Time varying systems; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

System Theory, 1989. Proceedings., Twenty-First Southeastern Symposium on

Conference_Location

Tallahassee, FL

ISSN

0094-2898

Print_ISBN

0-8186-1933-3

Type

conf

DOI

10.1109/SSST.1989.72437

Filename

72437