Use of semidefinite programming for solving the LQR problem subject to rectangular descriptor systems

2010 International Journal of Applied Mathematics and Computer Science  
Use of semidefinite programming for solving the LQR problem subject to rectangular descriptor systems 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
more » ... hod to solve the problem under consideration. Numerical examples are given to illustrate the results.
doi:10.2478/v10006-010-0048-9 fatcat:h2snmee6evgntgsa3gphxqlo3m