Observability and Controllability for Smooth Nonlinear Systems

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    The definition of a smooth nonlinear system as proposed recently, is elaborated as a natural generalization of the more common definitions of a smooth nonlinear input-output system. Minimality for such systems can be defined in a very direct geometric way, and already implies a usual notion of observability, namely, local weak observability. As an application of this theory, it is shown that observable nonlinear Hamiltonian systems are necessarily controllable, and vice versa.
    Originele taal-2English
    Aantal pagina's17
    TijdschriftSIAM Journal on Control and Optimization
    StatusPublished - 1982

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