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Barrier function

Known as: Logarithmic barrier function 
In constrained optimization, a field of mathematics, a barrier function is a continuous function whose value on a point increases to infinity as the… Expand
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Papers overview

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Highly Cited
2017
Highly Cited
2017
Safety critical systems involve the tight coupling between potentially conflicting control objectives and safety constraints. As… Expand
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Highly Cited
2016
Highly Cited
2016
We propose a novel nonlinear control method for solving the problem of stabilization with guaranteed safety for nonlinear systems… Expand
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Highly Cited
2016
Highly Cited
2016
This paper addresses the problem of multi-agent coordination and control under multiple objectives, and presents a set-theoretic… Expand
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Highly Cited
2015
Highly Cited
2015
Abstract Barrier functions (also called certificates) have been an important tool for the verification of hybrid systems, and… Expand
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2015
2015
This paper presents a methodology for the development of control barrier functions (CBFs) through a backstepping inspired… Expand
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Highly Cited
2014
Highly Cited
2014
This paper develops a control methodology that unifies control barrier functions and control Lyapunov functions through quadratic… Expand
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2007
2007
Increased lung vascular permeability is an important contributor to respiratory failure in acute lung injury (ALI). We found that… Expand
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Highly Cited
2004
Highly Cited
2004
A new formulation of nonlinear model predictive control (MPC) is developed by including a weighted barrier function in the… Expand
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Highly Cited
2000
Highly Cited
2000
The epidermal cornified cell envelope (CE) is a complex protein–lipid composite that replaces the plasma membrane of terminally… Expand
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Highly Cited
1996
Highly Cited
1996
We show that the universal barrier function of a convex cone introduced by Nesterov and Nemirovskii is the logarithm of the… Expand
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