Title :
Local lp-stability and local small gain theorem for discrete-time systems
Author_Institution :
Electr. de France, Clamart, France
fDate :
6/1/1996 12:00:00 AM
Abstract :
The notion of local l2-stability is defined. The relationship between this notion and Lyapunov stability is clarified. A local version of the small gain theorem is then established in the case of discrete-time systems. These results are applied to stability analysis of a nonlinear discrete-time delay system
Keywords :
Lyapunov methods; asymptotic stability; closed loop systems; controllability; delay systems; discrete time systems; nonlinear systems; observability; Lyapunov stability; asymptotic stability; closed loop system; controllability; discrete-time systems; local lp-stability; local small gain theorem; nonlinear system; observability; time delay system; Delay systems; Frequency domain analysis; Lyapunov method; Nonlinear systems; Stability analysis; Sufficient conditions;
Journal_Title :
Automatic Control, IEEE Transactions on
