Linearizability problem and invariants for multi-input non-autonomous control systems

We consider nonlinear multi-input non-autonomous control systems and analyze their invariants analogous to those introduced in Sklyar K. On mappability of control systems to linear systems with analytic matrices. Systems Control Lett. 134 (2019) 104572. We show that, compared to single-input systems, new invariants should be introduced. We give a complete set of invariants for one subclass of multi-input non-autonomous systems and propose a method of solving the time-optimal problem for such systems.