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Homotopy approach for solving constrained optimization problems

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3 Author(s)
Vasudevan, G. ; Virginia Polytech. Inst. & State Univ., Blacksburg, VA, USA ; Watson, L.T. ; Lutze, F.H.

A homotopy approach for solving constrained parameter optimization problems is examined. The first-order necessary conditions, with the complementarity conditions represented using a technique due to Mangasarian (1967) are solved. The equations are augmented to avoid singularities which occur when the active constraint changes. The Chow-Yorke (1978) algorithm is used to track the homotopy path leading to the solution to the desired problem at the terminal point. A simple example which illustrates the technique and an application to a fuel optimal orbital transfer problem are presented

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Automatic Control, IEEE Transactions on  (Volume:36 ,  Issue: 4 )