Abstract
The aim of this chapter is to characterize nonlinear systems
that are equivalent, locally or globally, to controllable linear systems. That is, we seek conditions on vector fields f 0, f 1..., f m that guarantee existence of a diffeomorphism (global Φ: M → ℝn or local Φ: O qo ⊂ M → O 0 ⊂ ℝn) which transforms nonlinear system (4.1) into a controllable linear one (3.1).
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© 2004 Springer-Verlag Berlin Heidelberg
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Agrachev, A.A., Sachkov, Y.L. (2004). State Linearizability of Nonlinear Systems. In: Control Theory from the Geometric Viewpoint. Encyclopaedia of Mathematical Sciences, vol 87. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-06404-7_4
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DOI: https://doi.org/10.1007/978-3-662-06404-7_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-05907-0
Online ISBN: 978-3-662-06404-7
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