Stabilization of nonlinear systems in the plane

Matthias Kawski

doi:10.1016/0167-6911(89)90010-8

Stabilization of nonlinear systems in the plane

Matthias Kawski

Mathematical and Statistical Sciences, School of (SoMSS)

Research output: Contribution to journal › Article › peer-review

199 Scopus citations

Abstract

It is shown that every small-time locally controllable system in the plane can (locally) be asymptotically stabilized by employing locally Hölder continuous feedback laws, as essentially was conjectured by E. Sontag. An explicit algorithm for the construction of such feedback laws is given.

Original language	English (US)
Pages (from-to)	169-175
Number of pages	7
Journal	Systems and Control Letters
Volume	12
Issue number	2
DOIs	https://doi.org/10.1016/0167-6911(89)90010-8
State	Published - Feb 1989

Keywords

Hölder continuous feedback
Lyapunov function
Stabilization
controllability
nonlinear control

ASJC Scopus subject areas

Control and Systems Engineering
General Computer Science
Mechanical Engineering
Electrical and Electronic Engineering

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10.1016/0167-6911(89)90010-8

Cite this

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title = "Stabilization of nonlinear systems in the plane",

abstract = "It is shown that every small-time locally controllable system in the plane can (locally) be asymptotically stabilized by employing locally H{\"o}lder continuous feedback laws, as essentially was conjectured by E. Sontag. An explicit algorithm for the construction of such feedback laws is given.",

keywords = "H{\"o}lder continuous feedback, Lyapunov function, Stabilization, controllability, nonlinear control",

author = "Matthias Kawski",

note = "Funding Information: * This work was partially supported by NSF Grant DMS 880-5815.",

year = "1989",

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AU - Kawski, Matthias

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N2 - It is shown that every small-time locally controllable system in the plane can (locally) be asymptotically stabilized by employing locally Hölder continuous feedback laws, as essentially was conjectured by E. Sontag. An explicit algorithm for the construction of such feedback laws is given.

AB - It is shown that every small-time locally controllable system in the plane can (locally) be asymptotically stabilized by employing locally Hölder continuous feedback laws, as essentially was conjectured by E. Sontag. An explicit algorithm for the construction of such feedback laws is given.

KW - Hölder continuous feedback

KW - Lyapunov function

KW - Stabilization

KW - controllability

KW - nonlinear control

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SP - 169

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JO - Systems and Control Letters

JF - Systems and Control Letters

IS - 2

ER -

Stabilization of nonlinear systems in the plane

Abstract

Keywords

ASJC Scopus subject areas

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