On the exponential stability of discrete-time systems with applications in observer design

On the exponential stability of discrete-time systems with applications in observer design

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, suff...

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Veröffentlicht in:IEEE transactions on automatic control 1994-09, Vol.39 (9), p.1959-1962
Hauptverfasser: Aitken, V.C., Schwartz, H.M.
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic stability
Buildings
Linear systems
Lyapunov method
Nonlinear systems
Observers
Stability analysis
State estimation
Sufficient conditions
Vectors
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Zusammenfassung: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.< >
ISSN:0018-9286
1558-2523
DOI:10.1109/9.317135