Abstract
We determine piston trajectories yielding maximum work output from two variations of a light-driven engine: one is a free-piston engine; the other is an optimally controlled engine. The equations describing the optimal piston path of the controlled engine are generated by the symbolic processing program MACSYMA. A second set of computer algebra routines are used to perform a stability analysis of the coupled, non-linear differential equations describing the piston trajectories. From this analysis we generate parameter sets that allow a numerical program, which solves systems of differential equations with mixed boundary conditions, to determine etiieientty the explicit time-path of the optimally controlled engine.
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