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 :
9/1/1994 12:00:00 AM
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; discrete time systems; stability criteria; state estimation; asymptotic stability; exponential bounds; exponential stability; necessary and sufficient conditions; observer design; stability domains; state bounds; uncertain discrete-time nonlinear systems; vector norm Lyapunov functions; Asymptotic stability; Buildings; Linear systems; Lyapunov method; Nonlinear systems; Observers; Stability analysis; State estimation; Sufficient conditions; Vectors;
Journal_Title :
Automatic Control, IEEE Transactions on
