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On submersivity assumption for nonlinear control systems on homogeneous time scales; pp. 25–37
PDF | doi: 10.3176/proc.2011.1.03

Ülle Kotta ORCID Icon, Branislav Rehák, Małgorzata Wyrwas
The paper derives a condition that allows construction of the σ-differential fields for nonlinear control systems, described by the set of input–output (i/o) higher-order delta-differential equations, defined on a homogeneous time scale. This condition is related to the submersivity assumption of the extended system, associated with i/o equations, but is formulated directly in terms of i/o equations.

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