Title :
Regions of global asymptotic stability in coefficient-space for linear time-variant discrete-time systems
Author :
Thiemann, Axel ; Premaratne, Kamal ; Bauer, Peter H.
Author_Institution :
Inst. fur Regelungstech., Hannover Univ., Germany
Abstract :
Various systems that occur in practice can be modeled as linear time-variant (LTV) discrete-time (DT) systems. In most of these situations however the underlying system dynamics impose restrictions on the loci of system parameters. For example, a maximum allowable rate at which parameters are allowed to vary may be a priori imposed. This paper addresses global asymptotic stability (g.a.s.) of LTV DT systems while taking into account such restrictions on parameter variations. In particular, construction of regions in coefficient-space wherein the system is guaranteed to be g.a.s. is addressed
Keywords :
asymptotic stability; discrete time systems; linear systems; poles and zeros; time-varying systems; coefficient-space; global asymptotic stability; linear time-variant discrete-time systems; maximum allowable rate; parameter variations; system dynamics; system parameter loci; Adaptive control; Adaptive filters; Adaptive systems; Asymptotic stability; Digital control; Digital filters; High-speed networks; Polynomials; Programmable control; TV;
Conference_Titel :
Circuits and Systems, 1999. ISCAS '99. Proceedings of the 1999 IEEE International Symposium on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-5471-0
DOI :
10.1109/ISCAS.1999.778870