Abstract
This paper is concerned with uncertain linear discrete-time systems controlled by a piecewise affine feedback law defined on a polyhedral domain. Assuming the initial state is contained in a given set, a novel algorithm is proposed to identify regions of the polyhedral partition which are guaranteed not to be visited during real-time operation. By dispensing with the need to store the aforementioned regions and associated control functions, the proposed method enables a reduction in both storage and on-line computational demands.
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