Topics Course, Spring 2004, Helton





Here is a collection of possibilities for discussion. People are invited to contribute more topics.
Department of Mathematics

    Boyd Vandberge Book contains many interesting topics.
Boyd-Vandberge Book
one topic :   Second order Cone Programing in Boyd Vandberge Book p 156 - 160ish

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Polynomial inequalities in systems and control:
    work of P. Parrilo
Pablo Parrilo's homepage

Pablo Parrilo's slides

Pablo Parrilo's thesis

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"Dimensionless System Probems and Inequalities in systems and control:
   
Bill Helton's 2002 Sides


   
Convexity Checker brief description


   
Convexity Checker Demo REquires MMa and NCAlgebra

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LMI methods with extra variables:
    de Oliveria

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Input qued packet switches:
Link to Sunil Kumar's paper on switches is
Sunil Kumar's paper on switches

Also reference by Dai and Prabakhar (ref [6] in the above) might be good background.

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Game methods:
Jeff Shamma's paper on repeated games can be downloaded at
"Dynamic fictitious play, dynamic gradient play, and distributed convergence to Nash equilibria".

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Simplifying simplexs
    ellipse filling a volume
    boyd's group

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Nonlinear systems:
    Reducing the size of the model.
   
    Biochemical Systems: Sontags paper?
   

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Internet Protocols:
    Vinnicomb, Paganni-Lowe paper
    Basar on networks: what is the best paper to read?

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    FOR REFERENCE
Linear Systems Course MAE 280B

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