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… (More)
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Topic mentions per year

Topic mentions per year

1966-2017
05010019662017

Papers overview

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2015
2015
Barrier functions (also called certificates) have been an important tool for the verification of hybrid systems, and have also… (More)
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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… (More)
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2011
2011
In this paper, we consider distributed algorithms for consensus of multiple agents in presence of convex state constraints on… (More)
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2006
2006
We develop a barrier function method for the optimization of trajectory functionals with constraints. An approximate or relaxed… (More)
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2002
2002
Abstract. We examine the sequence of local minimizers of the log-barrier function for a nonlinear program near a solution at… (More)
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Highly Cited
1997
Highly Cited
1997
We study a class of methods for solving convex programs, which are based on nonquadratic Augmented Lagrangians for which the… (More)
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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… (More)
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Highly Cited
1996
Highly Cited
1996
Injury to stratified epithelia causes a strong induction of keratins 6 (K6) and 16 (K16) in post-mitotic keratinocytes located at… (More)
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Highly Cited
1992
Highly Cited
1992
The nonlinear rescaling principle employs monotone and sufficiently smooth functions to transform the constraints and/or the… (More)
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