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Showing 1 to 6 of 6 for “"Pontryagin's Minimum Principle"”.
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Optimal Control Applied to a Mathematical Model for Vancomycin-Resistant Enterococci
… with controls over a nite time period. Pontryagin's Minimum Principle is used to characterize optimal controls by deriving a Hamiltonian expression and differential equations for ve adjoint variables. Numerical solutions to the optimal control problem illustrate how hospital policy …
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Optimal Electrodynamic Tether Phasing and Orbit-Raising Maneuvers
… We develop the optimal equations of motion using Pontryagin's Minimum Principle. We find numerical solutions using a global, stochastic optimization method called Adaptive Simulated Annealing. The method uses Markov chains and the system's cost function to narrow down the search space. Newton's …
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A nonstandard optimal control problem arising in an economics application: for royalty payment with piecewise function
… OC problem, and cannot be settled by utilizing Pontryagin's Minimum Principle with the standard boundary conditions at the final time. In the standard case, a free final state value y T yields a necessary boundary condition pT 0 where pt is the costate variable. Since the integrand is …
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Value-Gradient Learning
… algorithm. The connection of this result to Pontryagin's Minimum Principle is made clear. Hence it is proven that learning this value-gradient directly will obviate the need for local exploration of the value function, and this motivates value-gradient learning methods in terms of automatic …
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Optimal control reformulation for the solution of decision-making problems in chemical engineering
… dynamic optimisation problems (OCP), based on Pontryagin's Minimum Principle. Three different algorithms are used to solve the OCPs: the forward, backward and double shooting methods. In the case of OCPs, the proposed solution scheme obviates the need for discretising the control actions …