An estimation from within of the reachable set of nonlinear R. Brockett integrator with small nonlinearity

Abstract

In this paper, the nonlinear R. Brockett integrator with small nonlinear addition to the right-hand side of the corresponding differential equations is considered. More precisely, investigating the possibility to estimate from within the corresponding reachable set, we have obtained an efficient form of the ellipsoidal estimation from within. We used our previous results on the similar theme.

Keywords

• control problem
• reachable set
• R. Brockett integrator
• estimation from within