Abstract
In a previous work (1991), the author 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 are determined by the Hamiltonian matrix corresponding to the linearized problem. Using the same methodology, the author gives 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 by D.L. Lukes (1969) under much stronger conditions
Original language | Undefined |
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Title of host publication | 30th IEEE CDC |
Place of Publication | Brighton, U.K. |
Publisher | IEEE |
Pages | 1807-1808 |
Number of pages | 2 |
DOIs | |
Publication status | Published - 11 Dec 1991 |
Event | 30th IEEE Conference on Decision and Control, CDC 1991 - Brighton, United Kingdom Duration: 11 Dec 1991 → 13 Dec 1991 Conference number: 30 |
Publication series
Name | |
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Publisher | IEEE |
Volume | 2 |
Conference
Conference | 30th IEEE Conference on Decision and Control, CDC 1991 |
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Abbreviated title | CDC |
Country/Territory | United Kingdom |
City | Brighton |
Period | 11/12/91 → 13/12/91 |
Keywords
- IR-30933
- METIS-141574