Controlled Invariance of Nonlinear Systems: Nonexact Forms Speak Louder Than Exact Forms

摘要

A general setting is developed which describes controlled invariance for nonlinear control systems and which incorporates the previous approaches dealing with controlled invariant distributions. The main feature of the theory developed is that it is able to clarify the controlled invariance of distributions which are not necessarily integrable. The latter are of major importance for the geometric description of e.g. dynamic feedback problems.