What is it about?
In this paper is shown that solutions associated with an extended affine control system can be obtained as a limit process using solutions for a parameterized affine control system and weak small controls.
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Why is it important?
There is a long story of using such weak small controls for approximating iterated Lie bracket, but the topic debated in this research article is of great importance, interest and impact. This paper proposes and succeeds the analysis of a classical subject that remained unsolved for a long time.
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This page is a summary of: Weak small controls and approximations associated with controllable affine control systems, Journal of Differential Equations, October 2013, Elsevier,
DOI: 10.1016/j.jde.2013.05.028.
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