An Estimation from within of the Reachable Set of Generalized Nonlinear R. Brockett Integrator with Small Vector Nonlinearity

Abstract

In this paper the generalized nonlinear R. Brockett integrator with small vector nonlinear addition to the rigth-hand side of the corresponding differential equations is considered. More precisely, we investigate the possibility to estimate from within the corresponding reachable set. We obtain some ellipsoidal estimation from within in an efficient form.