Abstract
Discrete-time composite systems which consist of several subsystems interconnected with each other by gain-bounded time-varying nonlinear elements are treated. Each subsystem is assumed to contain one time-varying nonlinear element which satisfies a sector condition. A sufficient condition for asymptotic stability of such systems is given in terms of the pulse transfer functions of the subsystems. A method to construct a Lyapunov function and to calculate an estimate of the stability region is also given. The results are useful in a theoretical study of large-scale discrete-time systems.
