Title :
Bounded-input bounded-output stability of nonlinear time-varying discrete control systems
Author :
Lin, Jiguan ; Varaiya, Pravin P.
Author_Institution :
University of California, Berkeley, CA, USA
fDate :
8/1/1967 12:00:00 AM
Abstract :
It is shown that a discrete control system is bounded-input bounded-output (BIBO) stable if and only if there exist Liapunov functions possessing certain properties. As an illustration, a frequency criterion is developed for the BIBO stability of a class of non-linear discrete systems.
Keywords :
Discrete-time systems, nonlinear; Nonlinear systems, discrete-time; Nonlinear systems, time-varying; Stability; Time-varying systems, nonlinear; Control systems; Difference equations; Differential equations; Force control; Frequency; Nonlinear control systems; Stability criteria; Sufficient conditions; Time varying systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1967.1098631