Universal formulas for feedback stabilization with respect to Minkowski balls

Michael Malisoff; Eduardo D. Sontag

doi:10.1016/S0167-6911(00)00017-7

Universal formulas for feedback stabilization with respect to Minkowski balls

Michael Malisoff, Eduardo D. Sontag

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

51 Scopus citations

Abstract

This note provides explicit algebraic stabilizing formulas for clf's when controls are restricted to certain Minkowski balls in Euclidean space. Feedbacks of this kind are known to exist by a theorem of Artstein, but the proof of Artstein's theorem is nonconstructive. The formulas are obtained from a general feedback stabilization technique and are used to construct approximation solutions to some stabilization problems.

Original language	English (US)
Pages (from-to)	247-260
Number of pages	14
Journal	Systems and Control Letters
Volume	40
Issue number	4
DOIs	https://doi.org/10.1016/S0167-6911(00)00017-7
State	Published - Jul 20 2000

All Science Journal Classification (ASJC) codes

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

Keywords

Constrained controls
Control-Lyapunov functions

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10.1016/S0167-6911(00)00017-7

Cite this

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abstract = "This note provides explicit algebraic stabilizing formulas for clf's when controls are restricted to certain Minkowski balls in Euclidean space. Feedbacks of this kind are known to exist by a theorem of Artstein, but the proof of Artstein's theorem is nonconstructive. The formulas are obtained from a general feedback stabilization technique and are used to construct approximation solutions to some stabilization problems.",

keywords = "Constrained controls, Control-Lyapunov functions",

author = "Michael Malisoff and Sontag, {Eduardo D.}",

note = "Funding Information: This research was supported in part by US Air Force Grant F49620-98-1-0242. ",

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AU - Sontag, Eduardo D.

N1 - Funding Information: This research was supported in part by US Air Force Grant F49620-98-1-0242.

PY - 2000/7/20

Y1 - 2000/7/20

N2 - This note provides explicit algebraic stabilizing formulas for clf's when controls are restricted to certain Minkowski balls in Euclidean space. Feedbacks of this kind are known to exist by a theorem of Artstein, but the proof of Artstein's theorem is nonconstructive. The formulas are obtained from a general feedback stabilization technique and are used to construct approximation solutions to some stabilization problems.

AB - This note provides explicit algebraic stabilizing formulas for clf's when controls are restricted to certain Minkowski balls in Euclidean space. Feedbacks of this kind are known to exist by a theorem of Artstein, but the proof of Artstein's theorem is nonconstructive. The formulas are obtained from a general feedback stabilization technique and are used to construct approximation solutions to some stabilization problems.

KW - Constrained controls

KW - Control-Lyapunov functions

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U2 - 10.1016/S0167-6911(00)00017-7

DO - 10.1016/S0167-6911(00)00017-7

M3 - Article

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SN - 0167-6911

VL - 40

SP - 247

EP - 260

JO - Systems and Control Letters

JF - Systems and Control Letters

IS - 4

ER -

Universal formulas for feedback stabilization with respect to Minkowski balls

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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