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In this paper, we propose and solve the problem of feedback linearization of single-input control affine time-varying nonlinear systems. Feedback linearizability of time-varying is shown to be equivalent to the orbital feedback linearizability (or feedback linearization by state-dependent time scaling) of an extended version of the time-varying system. Necessary and sufficient conditions for feedback...
The description of a nonlinear control system as an exterior differential system suggests an interesting connection between locally accessible control systems and the existence of a natural geometry associated to the control system. The classification of single-input locally accessible control systems leads to a canonical construction of a (pseudo-) Riemannian metric on the state space. Conditions...
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