Hamiltonian form of the maximum principle
Revaz Gamkrelidze (2009)
Control and Cybernetics
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Displaying similar documents to “Smooth optimal synthesis for infinite horizon variational problems”
Hamiltonian form of the maximum principle
Hamiltonian trajectories and saddle points in mathematical economics
R. Rockafellar (2009)
Control and Cybernetics
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Discontinuous Hamiltonian flows for nonlinear control system.
Guerra, M. (2005)
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On the Principle of Stationary Isoenergetic Action
Božidar Jovanović (2012)
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Sufficient optimality conditions for a bang--singular extremal in the minimum time problem
Laura Poggiolini, Gianna Stefani (2008)
Control and Cybernetics
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Symplectic Pontryagin approximations for optimal design
Jesper Carlsson, Mattias Sandberg, Anders Szepessy (2009)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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The powerful Hamilton-Jacobi theory is used for constructing regularizations and error estimates for optimal design problems. The constructed Pontryagin method is a simple and general method for optimal design and reconstruction: the first, analytical, step is to regularize the hamiltonian; next the solution to its stationary hamiltonian system, a nonlinear partial differential equation, is computed with the Newton method. The method is efficient for designs where the hamiltonian function...