New results for linear, time-varying, discrete-time systems

Author

Johnson, C.D. ; Zhu, J.

Author_Institution

Alabama Univ., Huntsville, AL, USA

fYear

1991

fDate

10-12 Mar 1991

Firstpage

440

Lastpage

443

Abstract

An exact time-varying eigenvalue theory for continuous-time, linear time-varying dynamical systems is studied. Previous results have provided important tools for the analysis, stability characterization and synthesis of continuous time-varying systems. The authors extend their previous (1990) continuous-time results to the class of linear discrete-time systems. By this means they obtain an exact time-varying eigenvalue theory for linear, time-varying discrete-time systems. These results lead to important tools for analyzing stability and designing control laws for digital computer controlled time-varying systems

Keywords

control system analysis; control system synthesis; discrete time systems; eigenvalues and eigenfunctions; stability; time-varying systems; control design; digital computer controlled time-varying systems; eigenvalue theory; linear discrete-time systems; stability analysis; time-varying dynamical systems; Asymptotic stability; Control systems; Difference equations; Differential equations; Digital control; Eigenvalues and eigenfunctions; Genetic expression; Stability analysis; Sufficient conditions; Time varying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

System Theory, 1991. Proceedings., Twenty-Third Southeastern Symposium on

Conference_Location

Columbia, SC

ISSN

0094-2898

Print_ISBN

0-8186-2190-7

Type

conf

DOI

10.1109/SSST.1991.138599

Filename

138599