A nonlinear optimal control minimization technique
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- by Russell D. Rupp PDF
- Trans. Amer. Math. Soc. 178 (1973), 357-381 Request permission
Abstract:
Hestenes’ method of multipliers is applied to a nonlinear optimal control problem. This requires that a differentially constrained problem be embedded in a family of unconstrained problems so as to preserve standard sufficiency criteria. Given an initial estimate of the Lagrange multipliers, a convergent sequence of arcs is generated. They are minimizing with respect to members of the above family, and their limit is the solution to the differentially constrained problem.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 178 (1973), 357-381
- MSC: Primary 49D99
- DOI: https://doi.org/10.1090/S0002-9947-1973-0322645-8
- MathSciNet review: 0322645