Remarks on necessary conditions for minimizers of one-dimensional variational problems
Nonlinear Analysis: Theory, Methods & Applications
Nonsmooth optimization of hydrothermal problems
Journal of Computational and Applied Mathematics - Special issue on computational and mathematical methods in science and engineering (CMMSE-2004)
Brief paper: Initial condition of costate in linear optimal control using convex analysis
Automatica (Journal of IFAC)
WSEAS Transactions on Systems and Control
Issues in the real-time computation of optimal control
Mathematical and Computer Modelling: An International Journal
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Problems of optimal control are considered in the neoclassical Bolza format, which centers on states and velocities and relies on nonsmooth analysis. Subgradient versions of the Euler--Lagrange equation and the Hamiltonian equation are shown to be necessary for the optimality of a trajectory, moreover in a newly sharpened form that makes these conditions equivalent to each other. At the same time, the assumptions on the Lagrangian integrand are weakened substantially over what has been required previously in obtaining such conditions.