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A Laguerre homotopy method for optimal control of nonlinear systems in semi-infinite interval. (arXiv:1710.02935v1 [math.NA])
来源于:arXiv
This paper presents a Laguerre homotopy method for optimal control problems
in semi-infinite intervals (LaHOC), with particular interests given to
nonlinear interconnected large-scale dynamic systems. In LaHOC, spectral
homotopy analysis method is used to derive an iterative solver for the
nonlinear two-point boundary value problem derived from Pontryagins maximum
principle. A proof of local convergence of the LaHOC is provided. Numerical
comparisons are made between the LaHOC, Matlab BVP5C generated results and
results from literature for two nonlinear optimal control problems. The results
show that LaHOC is superior in both accuracy and efficiency. 查看全文>>