Stabilization of dynamical systems by positional solution of linear-convex extremal problems under geometrical control restrictions

Using bounded feedbacks, a stabilization problem for linear dynamical systems is considered. The approach under consideration is based on realizing positional solutions of auxiliary linear-convex optimal control problems. The main steps to construct the bounded stabilizing feedback consist in introducing any concrete process and the special procedure correcting based on the solution of the defining equations (Gabasov, et.al., 1991) and the use of the dual methods (Gabasov, et.al., 1984).