Title :
New results for linear, time-varying, discrete-time systems
Author :
Johnson, C.D. ; Zhu, J.
Author_Institution :
Alabama Univ., Huntsville, AL, USA
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;
Conference_Titel :
System Theory, 1991. Proceedings., Twenty-Third Southeastern Symposium on
Conference_Location :
Columbia, SC
Print_ISBN :
0-8186-2190-7
DOI :
10.1109/SSST.1991.138599
