IEEE Transactions on Automatic Control, Vol.41, No.6, 903-907, 1996
Local L(P)-Stability and Local Small Gain Theorem for Discrete-Time-Systems
The notion of local l(p)-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.