Structure and solutions of the LQ optimal control problem for 2D systems
The design of LQG controller for active suspension based on analytic hierarchy process.
The non-standard LQR problem for boundary control systems.
The quadratic control for linear discrete-time systems with independent random perturbations in Hilbert spaces connected with uniform observability.
Upper bounds on the solution of coupled algebraic Riccati equation.
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 method to solve the problem under consideration. Numerical examples are given to illustrate the results.
Линейно-квадратичная задача оптимизации и частотная теорема для периодических систем. II.
Оценка матрицы Грина гамильтоновой системы в задаче оптимального управления