ON THE EXPONENTIAL STABILITY OF DISCRETE-TIME-SYSTEMS WITH APPLICATIONS IN OBSERVER DESIGN

Authors
AITKEN VC SCHWARTZ HM
Citation
Vc. Aitken et Hm. Schwartz, ON THE EXPONENTIAL STABILITY OF DISCRETE-TIME-SYSTEMS WITH APPLICATIONS IN OBSERVER DESIGN, IEEE transactions on automatic control, 39(9), 1994, pp. 1959-1962
Citations number
13
Categorie Soggetti
Controlo Theory & Cybernetics","Robotics & Automatic Control","Engineering, Eletrical & Electronic
Journal title
IEEE transactions on automatic control → ACNP
ISSN journal
00189286
Volume
39
Issue
9
Year of publication
1994
Pages
1959 - 1962
Database
ISI
SICI code
0018-9286(1994)39:9<1959:OTESOD>2.0.ZU;2-A
Abstract
Exponential stability Of discrete-time systems, stability domains, and state bounds are obtained with the use of vector norm Lyapunov functi ons. For linear systems, necessary and sufficient conditions are given for asymptotic stability, and exponential bounds are derived For nonl inear systems, sufficient conditions for exponential stability also yi eld a stability domain and exponential bounds. Applications are demons trated in observer design for uncertain discrete-time nonlinear system s.