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    Stability and control on stochastic time scales.

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    POULSEN-DISSERTATION-2015.pdf (989.0Kb)
    Dylan_Poulsen_copyrightandavailabilityform.pdf (80.11Kb)
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    Date
    2015-04-02
    Author
    Poulsen, Dylan Richard, 1987-
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    Abstract
    We develop the stability theory for two classes of dynamic equations evolving on a time domain that is non-uniform and stochastic. In particular, we examine the mean-square exponential stability and almost sure exponential stability of linear, time invariant systems and of linear, time-varying systems, where the variation in time is only due to the local time step. With the stability theory in hand, we apply our results to control systems evolving on stochastic, non-uniform time domains. We design stabilizing closed-loop feedback controllers, observers, observer-based closed-loop feedback controllers, and optimal closed-loop feedback controllers.
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    http://hdl.handle.net/2104/9343
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    Copyright © Baylor® University All rights reserved. Legal Disclosures.
    Baylor University Waco, Texas 76798 1-800-BAYLOR-U
    Baylor University Libraries | One Bear Place #97148 | Waco, TX 76798-7148 | 254.710.2112 | Contact: libraryquestions@baylor.edu
    If you find any errors in content, please contact librarywebmaster@baylor.edu
    DSpace software copyright © 2002-2016  DuraSpace
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    Atmire NV