# Caratheodory-Hamilton-Jacobi theory in optimal control.

@article{Snow1967CaratheodoryHamiltonJacobiTI, title={Caratheodory-Hamilton-Jacobi theory in optimal control.}, author={Donald R. Snow}, journal={Journal of Mathematical Analysis and Applications}, year={1967}, volume={17}, pages={99-118} }

Abstract In this paper we have presented the Caratheodory approach to the calculus of Variations as modified to suit optimal control problems. This method is by determining and solving a problem equivalent to the original problem, the Hamilton-Jacobi partial differential equation being a key step in the determination of the new problem. We have shown the relationship of the Pontryagin Maximum Principle to this method, as well as the analogs of the Weierstrass Excess Function and the classical… Expand

#### 13 Citations

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An entropy of the Ising model in the mean field approximation is derived by the Hamilton-Jacobi formalism. We consider a grand canonical ensemble with respect to the temperature and the external… Expand

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