On estimates of reachable sets of nonlinear control systems with state constraints

摘要

The paper is devoted to the problem of external approximating reachable sets of a nonlinear control system with state constraints given as a solution set of a system of nonlinear inequalities. A state constraint elimination procedure based on the use of an auxiliary constraint- free control system is proposed. It is shown that the reachable set of the original system can be approximated in the Hausdorff metric by reachable sets of the auxiliary control system..