Nilpotency property of the discrete regulator
JAMES A. CADZOW · IEEE Transactions on Automatic Control · 1968
The optimal regulator control law for linear discrete systems possesses many interesting algebraic and geometric properties. One such property, that of the nilpotency of the resultant closed-loop matrix, is developed in this correspondence. The nilpotency property is then used to obtain many well-known results which have been previously developed by more classical approaches.