Communications in Mathematical Analysis

Conditions of Linearizability for Multi-control Systems of the Class $C^1$

K. V. Sklyar, S. Yu. Ignatovich, and V. O. Skoryk

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We give the complete description of nonlinear control systems of the class $C^1$ with multi-dimensional control that are linearizable by means of changes of variables of the class $C^2$.

Article information

Commun. Math. Anal., Volume 17, Number 2 (2014), 359-365.

First available in Project Euclid: 18 December 2014

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 93B18: Linearizations

Systems with multi-dimensional control Linearizability problem $C^1$-smooth nonlinear control systems Lie brackets technique


Sklyar, K. V.; Ignatovich, S. Yu.; Skoryk, V. O. Conditions of Linearizability for Multi-control Systems of the Class $C^1$. Commun. Math. Anal. 17 (2014), no. 2, 359--365.

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