Title :
On the exponential stability of discrete-time systems with applications in observer design
Author :
Aitken, Victor C. ; Schwartz, Howard M.
Author_Institution :
Defence Res. Establ. Suffield, Medicine Hat, Alta., Canada
fDate :
29 June-1 July 1994
Abstract :
Exponential stability of discrete-time systems, stability domains, and state bounds are obtained with the use of vector norm Lyapunov functions. For linear systems, necessary and sufficient conditions are given for asymptotic stability, and exponential bounds are derived. For nonlinear systems, sufficient conditions for exponential stability also yield a stability domain and exponential bounds. Applications are demonstrated in observer design for uncertain discrete-time nonlinear systems.
Keywords :
Lyapunov methods; asymptotic stability; control system synthesis; discrete time systems; nonlinear systems; observers; uncertain systems; asymptotic stability; discrete-time systems; exponential stability; linear systems; necessary condition; nonlinear systems; observer design; state bounds; sufficient condition; uncertain system; vector norm Lyapunov functions; Application software; Asymptotic stability; Erbium; Linear systems; Lyapunov method; Nonlinear systems; Observers; Piecewise linear techniques; Sufficient conditions; Vectors;
Conference_Titel :
American Control Conference, 1994
Print_ISBN :
0-7803-1783-1
DOI :
10.1109/ACC.1994.752465
