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On a general notion of controllability for nonlinear systems. (English) Zbl 0636.93005

The paper is concerned with a controllability property which is more general than the usual one. This property is named \(\ell\)- controllability. Some sufficient conditions both for local and for global controllability are proved, and some examples are provided. The techniques used are the ones of the topological degree.
Reviewer: R.Bianchini

MSC:

93B05 Controllability
55M25 Degree, winding number
93C10 Nonlinear systems in control theory
93B03 Attainable sets, reachability
93C15 Control/observation systems governed by ordinary differential equations
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