Title :
Asymptotic stability of discrete-time systems with saturation nonlinearities
Author :
Liu, Derong ; Michel, A.N.
Author_Institution :
Dept. of Electr. Eng., Notre Dame Univ., IN, USA
Abstract :
The authors present results for the global asymptotic stability of the equilibrium x=0 of nth order, discrete-time systems with state saturations. The results are used to establish conditions for the non-existence of limit cycles in n th-order fixed point digital filters. It is demonstrated that the present results are easier to apply and are less conservative than corresponding existing results
Keywords :
digital filters; discrete time systems; stability; asymptotic stability; discrete-time systems; fixed point digital filters; limit cycles; saturation nonlinearities; Asymptotic stability; Control nonlinearities; Control systems; Digital filters; Hypercubes; Limit-cycles; Lyapunov method; Neural networks; Nonlinear control systems; Nonlinear equations;
Conference_Titel :
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location :
Tucson, AZ
Print_ISBN :
0-7803-0872-7
DOI :
10.1109/CDC.1992.371212
