Series and parallel D-spectra for multi-input-multi-output linear time-varying systems

Author

Zhu, J. Jim

Author_Institution

Dept. of Electr. & Comput. Eng., Louisiana State Univ., Baton Rouge, LA, USA

fYear

1996

fDate

31 Mar-2 Apr 1996

Firstpage

125

Lastpage

129

Abstract

In this paper some previously developed series and parallel differential spectral concepts for scalar linear time-varying (LTV) systems are extended to some subclasses of multi-input-multi-output (MIMO) LTV systems. The extension is facilitated by the new concepts of differential determinant and differential adjoint matrix introduced herein, which are natural extensions of the familiar concepts of determinant and adjoint matrix to a noncommutative differential ring. Explicit matrix fractional representations are obtained for the subclasses of MIMO LTV systems for which the new results are applicable. The new results have important applications in the analysis and control of MIMO LTV systems

Keywords

MIMO systems; linear systems; matrix algebra; time-varying systems; MIMO LTV systems; differential adjoint matrix; differential determinant; differential spectral concepts; explicit matrix fractional representations; multi-input-multi-output linear time-varying systems; noncommutative differential ring; parallel D-spectra; series D-spectra; Concurrent computing; Control system analysis; Control systems; Differential equations; Eigenvalues and eigenfunctions; MIMO; Nonlinear equations; Poles and zeros; Stability criteria; Time varying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

System Theory, 1996., Proceedings of the Twenty-Eighth Southeastern Symposium on

Conference_Location

Baton Rouge, LA

ISSN

0094-2898

Print_ISBN

0-8186-7352-4

Type

conf

DOI

10.1109/SSST.1996.493484

Filename

493484