Stabilization of dynamical systems with the help of optimization methods

Abstract

Schemes of realization of bounded stabilizing feedbacks based on optimal control methods and lin.ear programming are under consideration. Both approach.es use the principle of correction of current solutions in real-time mode. The methods elaborated are used for robust stabilization and stabilization under additional conditions on transients, such. as degree of stability, degree of oscillation, degree of overcontrol, monotonicity of transients. The result are illustrated by nontrivial examples.