Stabilizability does not imply homogeneous stabilizability for controllable homogeneous systems

Sepulchre, Rodolphe;Aeyels, D.
(1996) SIAM Journal on Control and Optimization — Vol. 34, n° 5, p. 1798-1813 (1996)

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  • Sepulchre, RodolpheUCLouvain
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  • Aeyels, D.
    Author
Abstract
This paper presents an example of a homogeneous planar controllable system which is stabilizable while not stabilizable by homogeneous feedback. Addition of an integrator to the system provides a three-dimensional affine system with the same properties.
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Sepulchre, R., & Aeyels, D. (1996). Stabilizability does not imply homogeneous stabilizability for controllable homogeneous systems. SIAM Journal on Control and Optimization, 34(5), 1798-1813. https://doi.org/10.1137/S0363012994267303 (Original work published 1996)