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An analytical approximation method for the stabilizing solution of the Hamilton-Jacobi equation based on stable manifold theory
2007
American Control Conference (ACC)
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In this paper, an analytical approximation approach for the stabilizing solution of the Hamilton-Jacobi equation using stable manifold theory is proposed. The proposed method gives approximated flows on the stable manifold of the associated Hamiltonian system and provides approximations of the stable Lagrangian submanifold. With this method, the closed loop stability is guaranteed and can be enhanced by taking higher order approximations. A numerical example shows the effectiveness of the method. N. Sakamoto is with the
doi:10.1109/acc.2007.4282581
dblp:conf/acc/SakamotoS07
fatcat:bavh2ossavbh5fvy5k2xcgtiey