Remarks on universal nonsingular controls for discrete - timesystemsEduardo
نویسندگان
چکیده
For analytic discrete-time systems, it is shown that uniform forward accessibility implies the generic existence of universal nonsingular control sequences. A particular application is given by considering forward accessible systems on compact manifolds. For general systems, it is proved that the complement of the set of universal sequences of innnite length is of the rst category. For classes of systems satisfying a descending chain condition, and in particular for systems deened by polynomial dynamics, forward accessibility implies uniform forward accessibility.
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Remarks on universal nonsingular controls for discrete-time systems
For analytic discrete-time systems, it is shown that uniform forward accessibility implies the generic existence of universal nonsingular control sequences. A particular application is given by considering forward accessible systems on compact manifolds. For general systems, it is proved that the complement of the set of universal sequences of infinite length is of the first category. For class...
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