@misc{Mostafa_El-Sayed_M.E._An, author={Mostafa, El-Sayed M.E.}, howpublished={online}, publisher={Zielona Góra: Uniwersytet Zielonogórski}, language={eng}, abstract={In this paper, a sequential quadratic programming method combined with a trust region globalization strategy is analyzed and studied for solving a certain nonlinear constrained optimization problem with matrix variables. The optimization problem is derived from the infinite-horizon linear quadratic control problem for discrete-time systems when a complete set of state variables is not available. Moreover, a parametrization approach is introduced that does not require starting a feasible solution to initiate the proposed SQP trust region method. To demonstrate the effectiveness of the method, some numerical results are presented in detail.}, type={artykuł}, title={An SQP trust region method for solving the discrete-time linear quadratic control problem}, keywords={output feedback control design, sequential quadratic programming, trust region method}, }