On constructing single-input non-autonomous systems of full rank
Keyword(s):
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.
2012 ◽
Vol 22
(08)
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pp. 1250190
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2019 ◽
Vol 19
(12)
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pp. 1950160
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1991 ◽
Vol 11
(3)
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pp. 443-454
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2007 ◽
Vol 40
(1)
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pp. 36-45
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1972 ◽
Vol 7
(2)
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pp. 309-311
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