GE/ECE 489 Project: Nonlinear Controllability and Lie Series Representations of Systems: Survey and Tutorial
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Nonlinear control and combinatorics of words
This article attempts to bring together some problems in nonlinear control systems and in algebraic combinatorics of words. One the control side recent results in controllability, nilpotent approximating systems, and applications to path planning are surveyed. On the other side, after a brief survey of various bases for free Lie algebras recent developments in the algebraic combinatorics of wor...
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Results concerning the controllability of control affine systems are reviewed. The discussion starts with accessibility results connected with Lie algebraic ideas, and winds its way to some recent local controllability results.
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