On a set of solutions for differential inclusions with one sided Lipschitz condition

V. I. Novitskiy

Institute of System Dynamics and Control Theory SB RAS, 134, Lermontov St., Irkutsk, 664033

Abstract: In this paper we consider differential inclusion with multiple-valued perturbation or control. Beside initial inclusion we consider one-parameter kind of approximate inclusions and analyze issue on closeness of solution sets of initial and approximate inclusions in Hausdorff distanse.

Keywords: differential inclusion, one sided Lipschitz condition, Iosida approximation, attainability set.

UDC: 517.911.5