NASA NTRS · 19720052950
Controllability of nonlinear systems.
Abstract
Discussion of the controllability of nonlinear systems described by the equation dx/dt - F(x,u). Concepts formulated by Chow (1939) and Lobry (1970) are applied to establish criteria for F and its derivatives to obtain qualitative information on sets which can be obtained from x which denotes a variable of state in an arbitrary, real, analytical manifold. It is shown that controllability implies strong accessibility for a large class of manifolds including Euclidean spaces.-
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Sussmann, H. J., Jurdjevic, V.. 1972-07-01. Controllability of nonlinear systems.. https://ntrs.nasa.gov/citations/19720052950
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