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Global stabilization of a class of upper-triangular systems using a generalized homogeneous method

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4 Author(s)
Weisong Tian ; Dept. of Electr. & Comput. Eng., Univ. of Texas at San Antonio, San Antonio, TX, USA ; Chunjiang Qian ; Haibo Du ; Frye, M.T.

This paper considers the problem of using a smooth controller to globally stabilize a class of upper-triangular systems with uncontrollable linearization. The nonlinearities of the systems do not satisfy the conditions imposed in the existing literature. Based on a new constructive Lyapunov function and a generalized homogeneous design, a small controller is recursively designed in a bottom-to-up fashion to globally stabilize the upper-triangular systems.

Published in:

American Control Conference (ACC), 2012

Date of Conference:

27-29 June 2012