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    Local Bifurcation Control.

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    TR_87-125.pdf (867.8Kb)
    No. of downloads: 485

    Date
    1987
    Author
    Abed, Eyad H.
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    Abstract
    Local feedback stabilization of bifurcated solution branches is studied. Two cases are considered: that in which the nominal system undergoes a Hopf bifurcation as a parameter is varied, and the case of a stationary bifurcation from a simple zero eigenvalue. For each case, results on the existence of a stabilizing feedback are given. Moreover, simple synthesis techniques for the stabilizing controllers are discussed. A concept of aproximity stabilization" is introduced as an alternative to stabilization in the ordinary sense for systems that are not locally stabilizable. A result is stated on the genericity of proximity stabilizability. Motivation for further research in Beveral areas is given.
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    http://hdl.handle.net/1903/4633
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    • Institute for Systems Research Technical Reports

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