@misc{Muhafzan_Use, author={Muhafzan}, howpublished={online}, publisher={Zielona Góra: Uniwersytet Zielonogórski}, language={eng}, abstract={This paper deals with the Linear Quadratic Regulator (LQR) problem subject to descriptor systems for which the semidefinite programming approach is used as a solution. We propose a new sufficient condition in terms of primal dual semidefinite programming for the existence of the optimal state-control pair of the problem considered. The results show that semidefinite programming is an elegant method to solve the problem under consideration. Numerical examples are given to illustrate the results.}, type={artykuł}, title={Use of semidefinite programming for solving the LQR problem subject to rectangular descriptor systems}, keywords={rectangular descriptor system, LQR problem, restricted system equivalent, semidefinite programming}, }