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Covector mapping principle

The covector mapping principle is a special case of Riesz' representation theorem, which is a fundamental theorem in functional analysis.The name was… Expand
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10 relations
DIDO (software)DiscretizationI. Michael RossLegendre pseudospectral method
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Papers overview

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2019
2019
Consistent approximation of optimal control problems using Bernstein polynomials
We present a direct method for the solution of nonlinear optimal control problems based on Bernstein polynomial approximations… Expand
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2018
2018
Bernstein approximation of optimal control problems
Bernstein polynomial approximation to a continuous function has a slower rate of convergence as compared to other approximation… Expand
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2015
2015
High order variational integrators in the optimal control of mechanical systems
In recent years, much effort in designing numerical methods for the simulation and optimization of mechanical systems has been… Expand
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2010
2010
Costate computation by a Chebyshev pseudospectral method
AMONG the various pseudospectral (PS) methods for optimal control [1], only the Legendre PS method has been mathematically proven… Expand
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Highly Cited
2008
Highly Cited
2008
Connections between the covector mapping theorem and convergence of pseudospectral methods for optimal control
Abstract In recent years, many practical nonlinear optimal control problems have been solved by pseudospectral (PS) methods. In… Expand
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2006
2006
On the Pseudospectral Covector Mapping Theorem for Nonlinear Optimal Control
In recent years, a large number of nonlinear optimal control problems have been solved by pseudospectral (PS) methods. In an… Expand
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2005
2005
A Historical Introduction to the Convector Mapping Principle
In 1696, Johann Bernoulli solved the brachistochrone problem by an ingenious method of combining Fermat’s principle of minimum… Expand
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2005
2005
AAS 05-332 A HISTORICAL INTRODUCTION TO THE COVECTOR MAPPING PRINCIPLE
In 1696, Johann Bernoulli solved the brachistochrone problem by an ingenious method of combining Fermat’s principle of minimum… Expand
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Highly Cited
2003
Highly Cited
2003
Legendre Pseudospectral Approximations of Optimal Control Problems
Summary. We consider nonlinear optimal control problems with mixed statecontrol constraints. A discretization of the Bolza… Expand
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1997
1997
SUPERSYMMETRIC QUANTUM COSMOLOGY FOR BIANCHI CLASS A MODELS
The canonical theory of supergravity, with a matrix representation for the gravitino covector–spinor, is applied to the Bianchi… Expand
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