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The Hybrid Maximum Principle Is a Consequence of Pontryagin Maximum Principle [PDF]
Systems and Control Letters, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A. V. Dmitruk, A. M. Kaganovich
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The Strong Maximum Principle Revisited
Journal of Differential Equations, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Patrizia Pucci, James Serrin
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Mathematische Operationsforschung und Statistik. Series Optimization, 1979
A model of optimal control for discrete systems and the historical development of the discrete maximum principle are considered. The paper deals with local optimality conditions of the first order, e.g. with a local maximum-principle and a quasi-maximum principle. Furthermore, optimality conditions of higher order, e. g.
Gabasov, R., Kirillova, F.
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A model of optimal control for discrete systems and the historical development of the discrete maximum principle are considered. The paper deals with local optimality conditions of the first order, e.g. with a local maximum-principle and a quasi-maximum principle. Furthermore, optimality conditions of higher order, e. g.
Gabasov, R., Kirillova, F.
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Nonlinear Analysis: Theory, Methods & Applications, 1997
In optimal control problems, where the operator describing the dynamics of the process and the terminal condition is not regular, that is, its first Fréchet derivative is not surjective at the optimal process, the fundamental first-order necessary conditions offered by the Pontryagin maximum principle do not provide useful and sufficient information ...
Ledzewicz, Urszula, Schättler, Heinz
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In optimal control problems, where the operator describing the dynamics of the process and the terminal condition is not regular, that is, its first Fréchet derivative is not surjective at the optimal process, the fundamental first-order necessary conditions offered by the Pontryagin maximum principle do not provide useful and sufficient information ...
Ledzewicz, Urszula, Schättler, Heinz
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Maximum principles in analytical economics [PDF]
Synthese, 1971 The very name of my subject, economics, suggests economizing or maxi mizing. But Political Economy has gone a long way beyond home econo mics. Indeed, it is only in the last third of the century, within my own life time as a scholar, that economic theory has had many pretensions to being itself useful to the practical businessman or bureaucrat.
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Progress in Nonlinear Differential Equations and Their Application, 2007
We consider classical linear and quasilinear elliptic inequalities as well as divergence structure and variational operators, with emphasis on the important topics of comparison results and tangency theorems. This work ultimately applies also to weak solutions in appropriate Sobolev spaces. In order that the book may serve the purposes of reference and
Patrizia Pucci
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We consider classical linear and quasilinear elliptic inequalities as well as divergence structure and variational operators, with emphasis on the important topics of comparison results and tangency theorems. This work ultimately applies also to weak solutions in appropriate Sobolev spaces. In order that the book may serve the purposes of reference and
Patrizia Pucci
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Discovery of the Maximum Principle
Journal of Dynamical and Control Systems, 1999A short history of the discovery of the maximum principle in optimal control theory, in the mid fifties, by L. S. Pontryagin and his associates is presented. There are pointed out the most important steps and individual contributions by the members of the group towards the final form of that it is known as maximum principle.
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On the Stochastic Maximum Principle
SIAM Journal on Control and Optimization, 1978A representation of the adjoint process, which appears in a general version of the maximum principle for control systems described by Girsanov solutions of stochastic differential equations, is given in terms of the linearization of the state equation.
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Computational Methods in Applied Mathematics, 2012
Abstract A singularly perturbed convection-diffusion problem is considered. In certain circumstances the solution is shown to be much smaller than its maximum outside a neighborhood of a subcharacteristic curve.
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Abstract A singularly perturbed convection-diffusion problem is considered. In certain circumstances the solution is shown to be much smaller than its maximum outside a neighborhood of a subcharacteristic curve.
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