On constructing single-input non-autonomous systems of full rank
DOI:
https://doi.org/10.26565/2221-5646-2018-88-04Keywords:
nonlinear control system, accessible system, system of full rank, non-autonomous system, the straightening theorem for vector fieldsAbstract
For a nonlinear system of differential equations $\dot x=f(x)$, a method of constructing a system of full rank $\dot x=f(x)+g(x)u$ is studied for vector fields of the class $C^k$, $1\le k<\infty$, in the case when $f(x)\not=0$. A method for constructing a non-autonomous system of full rank is proposed in the case when the vector field $f(x)$ can vanish.
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