Nistri, Paolo On a general notion of controllability for nonlinear systems. (English) Zbl 0636.93005 Boll. Unione Mat. Ital., VI. Ser., C, Anal. Funz. Appl. 5, 383-403 (1986). 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 Cited in 5 Documents 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 Keywords:nonlinear control system; \(\ell \)-controllability; topological degree PDFBibTeX XMLCite \textit{P. Nistri}, Boll. Unione Mat. Ital., VI. Ser., C, Anal. Funz. Appl. 5, 383--403 (1986; Zbl 0636.93005)