Abstract

This paper is concerned with the problem of stabilizing linear time‐delay systems under state and control linear constraints. For this, necessary and sufficient conditions for a given non‐symmetrical polyhedral set to be positively invariant are obtained. Then existence conditions of linear state feedback control law respecting the constraints are established, and a procedure is given in order to calculate such a controller. The paper concerns memoryless controlled systems but the results can be applied to cases of delayed controlled systems. An example is given.

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