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Quadratic-like Stability of Nonlinear Homogeneous Systems

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Abstract

A necessary and sufficient condition of stability (stabilizability) of nonlinear homogeneous (control) system is obtained using a topological equivalence of asymptotically stable homogeneous system to a quadratically stable one.
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Dates and versions

hal-01525252 , version 1 (19-05-2017)
hal-01525252 , version 2 (31-08-2017)

Identifiers

  • HAL Id : hal-01525252 , version 2

Cite

Andrey Polyakov. Quadratic-like Stability of Nonlinear Homogeneous Systems. 56th IEEE Conference on Decision and Control, Dec 2017, Mebourne, Australia. ⟨hal-01525252v2⟩
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