Analysis of Some Classes of Nonlinear Discrete Systems Under Bounded Disturbances

摘要

The constructive solution of the calculating minimal invariant sets problem for some classes of autonomous and nonautonomous discrete systems has been obtaned. For the nonautonomous discrete systems the problem is solved on the assumption that only set-valued estimates for additive bounded disturbances are available. The calss of systems with bounded nonlinear parts is considered. This calss contains systems with saturation, relay systems having a dead zone and others. An example illustrates the proposed method.