## Optimal Bounded Control of Linear Sampled-data Systems Using Quadratic Performance Criteria |

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_z(l alpha-minus region alpha-plus region Arlington Hall Station AT(Q attitude error Bell Telephone Labs Bldg BLOCK DIAGRAM Blvd BN+1 bounds Calif Center Code COEFFICIENTS FOR EXAMPLE completing the square computing method considered control for example control u(n control vector Corp DIAGRAM OF SYSTEM discussed dynamic programming EE Dept element ellipse Engineering fast memory feedback coefficients inequality infinite stage regulator input Institute of Technology Laplace transform Librarian Library linear control linear region mathematical induction minimizes the performance nonsingular optimal control optimal cost optimal return function optimal trajectory optimal value P.O. Box performance index PN)A positive definite positive semidefinite matrix positive semidefinite symmetric Prof quadratic function recurrence relations region of linear Research sampling instant sampling interval scalar semidefinite symmetric matrix shown in Fig space stage regulator problem state-space Tech Texas Instruments unsaturated control unsaturated region vector Washington 25 XN+1 zero