Title :
Series and parallel D-spectra for multi-input-multi-output linear time-varying systems
Author_Institution :
Dept. of Electr. & Comput. Eng., Louisiana State Univ., Baton Rouge, LA, USA
fDate :
31 Mar-2 Apr 1996
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;
Conference_Titel :
System Theory, 1996., Proceedings of the Twenty-Eighth Southeastern Symposium on
Conference_Location :
Baton Rouge, LA
Print_ISBN :
0-8186-7352-4
DOI :
10.1109/SSST.1996.493484
