Results 211 to 220 of about 100,213 (248)
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Second-Order Conditioning in Mobile Robots
2002We have proposed a neural network that learns to control avoidance behaviors of a physical mobile robot through classical conditioning and operant conditioning. In this article we test whether our network can acquire second-order conditioning. During training we first associate the activation of the robot's infrared sensors with collisions.
Samuel Benzaquen, Carolina Chang
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On Second-Order Optimality Conditions for Vector Optimization
Journal of Optimization Theory and Applications, 2011A vector optimization problem (VOP) is considered. The feasible set is stated by means of equality and inequality constraints. Two constraint qualifications has been borrowed from the scalar case and used for VOP. The first one (Kuhn-Tucker constraint qualification KTCQ) is based on a feasible arc and implies that the set of feasible and descent ...
María Cristina Maciel +2 more
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Second order optimality conditions
Journal of Discrete Mathematical Sciences and Cryptography, 2000Abstract The aim of the paper is to establish some new second order optimality conditions by means of suitable second order tangent sets.
MARTEIN, LAURA, A. CAMBINI
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1995
For a thin dielectric layer, second order transition conditions were developed by Weinstein (1969) and used (Leppington, 1983) to determine the field diffracted by an abrupt change in layer thickness. Since then there have been numerous applications of second (and higher) order boundary conditions in electromagnetics, but some of the solutions are ...
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For a thin dielectric layer, second order transition conditions were developed by Weinstein (1969) and used (Leppington, 1983) to determine the field diffracted by an abrupt change in layer thickness. Since then there have been numerous applications of second (and higher) order boundary conditions in electromagnetics, but some of the solutions are ...
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Second Order Necessary Conditions in Optimization
SIAM Journal on Control and Optimization, 1984The author considers an optimization problem which contains restrictions in the form of finitely many equalities and of inclusions involving an arbitrary convex body in a normed vector space, i.e. Q is a convex subset of a real vector space, H is a normed vector space, C is a convex body in H, \((\phi_ 0,\phi_ 1,\phi_ 2):Q\to {\mathbb{R}}\times ...
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2018
Second-order conditions for both parameter optimization problems and optimal control problems are analysed. A new conjugate point test procedure is discussed and illustrated. For an optimal control problem we will examine the second variation of the cost. The first variation subject to constraints provides first-order NC for a minimum of J.
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Second-order conditions for both parameter optimization problems and optimal control problems are analysed. A new conjugate point test procedure is discussed and illustrated. For an optimal control problem we will examine the second variation of the cost. The first variation subject to constraints provides first-order NC for a minimum of J.
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Second Order Conditions for Constrained Minima
SIAM Journal on Applied Mathematics, 1967This paper establishes two sets of "second order" conditions-one which is necessary, the other which is sufficient-in order that a vector x* be a local minimum to the constrained optimization problem: minimize f(x) subject to the constraints \( g_{i}(x)\geqq 0,i=1,\cdots ,m,\; \rm{and} \; h_{i}(x)=0,j=1,\cdots,p, \) where the problem functions are ...
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1990
Abstract The previous chapter developed sufficient conditions for optimality, using properties like concavity and quasi-concavity. These were defined globally, that is, over the full domain of definition of the functions. For example, a function is called concave if the tangent at any point lies on or above the graph of the function ...
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Abstract The previous chapter developed sufficient conditions for optimality, using properties like concavity and quasi-concavity. These were defined globally, that is, over the full domain of definition of the functions. For example, a function is called concave if the tangent at any point lies on or above the graph of the function ...
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Second-Order Sufficient Conditions in Nonsmooth Optimization
Mathematics of Operations Research, 1988Second-order conditions are given which are sufficient to guarantee that a given point be a local solution to certain types of finite-dimensional nonsmooth nonlinear programming problems. Both unconstrained and constrained problems are considered.
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Second-order conditions for an exact penalty function
Mathematical Programming, 1980In this paper we give first- and second-order conditions to characterize a local minimizer of an exact penalty function. The form of this characterization gives support to the claim that the exact penalty function and the nonlinear programming problem are closely related.
Thomas F. Coleman, Andrew R. Conn
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