Title
Stability analysis of an optimally controlled light-driven engine
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.
Year
DOI
Venue
1986
10.1016/S0747-7171(86)80016-5
J. Symb. Comput.
Keywords
DocType
Volume
optimal piston path,controlled engine,light-driven engine,stability analysis,differential equation,piston trajectory,numerical program,non-linear differential,free-piston engine,symbolic processing program
Journal
2
Issue
ISSN
Citations 
1
Journal of Symbolic Computation
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Stanley J. Watowitch100.34
Jeffery L. Krause200.34
R. Stephen Berry311.40