Abstract
In a previous paper we showed some basic connections between H∞ control of a nonlinear control system and H∞ control of its linearization. A key argument was that the existence and parametrization, at least locally, of the stable invariant manifold of a certain Hamiltonian vector field is determined by the Hamiltonian matrix corresponding to the linearized problem. Using the same methodology we are able to give a quick proof of the fact that a nonlinear optimal control problem is locally solvable if the associated LQ problem is solvable. This was proved before under much stronger conditions.
| Original language | English |
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| Title of host publication | Proceedings of the 30th IEEE Conference on Decision and Control |
| Publisher | University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science |
| Pages | 1807-1808 |
| Number of pages | 2 |
| ISBN (Print) | 0780304500 |
| Publication status | Published - 1991 |