Tetyana Revina

V. N. Karazin Kharkiv National University · School of Mathematics and Computer Science

The paper deals with local robust feedback synthesis for systems with multidimensional control and unknown bounded perturbations. Using V.~I.~Korobov's controllability function method, we construct a bounded control which steers an arbitrary initial point to the origin in some finite time; an estimate from above for the time of motion is given. We...

The paper investigates the feedback synthesis problem for an autonomous linear system subject to unknown time-variant continuous bounded perturbations of the coefficients. Sufficient conditions for the existence of a bounded control input transferring the initial state of the system to the origin in a finite time are discussed in detail. Our approa...

The feedback synthesis problem for a chain of integrators system with continuous bounded unknown perturbation is considered. Our approach is based on the controllability function (CF) method proposed by V.I. Korobov. The perturbation range is determined by the negativity condition for the total derivative of the CF with respect to the perturbed sys...

The paper deals with local robust feedback synthesis problem for systems with multidimensional control and unknown bounded perturbations. Using V.I. Korobov's controllability function method, a bounded control which steers an arbitrary initial point to the origin at some ¯nite time is con- structed; an estimate from above for the time of motion is...

We consider the problems of global and local robust feedback synthesis of bounded control for a system with unknown bounded perturbation. Our approach is based on the method of controllability function proposed by Korobov. The ranges of perturbations are determined from the condition that the total derivative of the controllability function with re...

The paper deals with the global robust feedback syntheses of a bounded control for a disturbed canonical system with an unknown bounded perturbation. Our approach is based on the controllability function method created by V. I. Korobov in 1979. We find a segment where the perturbation can vary and give a positional control which is independent of t...

Several approaches to delimiting a perturbation in the global robust feedback synthesis problem.} The paper deals with the problem of the global robust feedback synthesis of a bounded control for a system with an unknown bounded perturbations. On the basis of V.~I.~Korobov's controllability function method we suggest several approaches to delimitin...