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Title: Nonlinear controllability and observability with applications to gradient systems
Author: Gonçalves, José Agostinho Basto
ISNI:       0000 0001 3450 5216
Awarding Body: University of Warwick
Current Institution: University of Warwick
Date of Award: 1981
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We extend the theory of nonlinear observability due to Hermann- Krener [5] to the non-regular case, in which the observability codistribution is not constant dimensional, and we obtain results in some sense dual of the ones already known for accessibility. We discuss a conjecture of P. Varaya [15], namely that the isomorphism of two locally controllable gradient systems is an isometry for the underlying pseudo Riemannian manifolds, proving it to be false without further, or different, assumptions; we also prove some positive results, and the analogue of the above for Hamiltonian systems, with weaker conditions: an isomorphism of reachable Hamiltonian systems is a symplectomorphism. Finally we prove that a Hamiltonian system with finite-dimensional Lie algebra, satisfying standard conditions, has an accessible Hamiltonian realization, constructed in a canonical way.
Supervisor: Not available Sponsor: Fundaýao Calouste Gulbenkian
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: QA Mathematics