Abstract

In a recent paper (Meng et al., 2021), it was claimed that for meromorphic nonlinear systems linear in control input, generic controllability of the linearized system is necessary and sufficient for generic accessibility of the original system, and this result was used to prove equivalence between structural accessibility and structural controllability of the linearized system. We point out a mistake in the proof of the results of Meng et al. (2021) and show that controllability of the linearized system is only sufficient for accessibility of the original nonlinear system. The main result of the paper (Meng et al., 2021) about the relation between structural accessibility of the system and structural controllability of its linearized system can partially be remedied.

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