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.
    Original languageEnglish
    Number of pages17
    JournalSIAM Journal on Control and Optimization
    Publication statusPublished - 1982

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