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Remarks on universal nonsingular controls for discrete-time systems

✍ Scribed by Eduardo D. Sontag; Fabian R. Wirth

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
643 KB
Volume
33
Category
Article
ISSN
0167-6911

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✦ Synopsis

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 classes of systems satisfying a descending chain condition, and in particular, for systems defined by polynomial dynamics, forward accessibility implies uniform forward accessibility.

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