Abstract
Abstract We consider bilinear discrete-time systems for the case when interval bounds on the coefficients of the system are imposed, additive input terms are restricted by integral constraints, and initial states are restricted by given sets. Several ways for constructing external parallelepiped-valued estimates of reachable sets of such systems are proposed. One of the above techniques is based on obtaining recurrence relations for reachable sets in the ”extended” phase space and constructing corresponding estimates in the form of polytopes of some special shape.
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