Abstract

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

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