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Mathematics

 

Event/Activity Calendars 


Upcoming Hudson Colloquia  
January 19, 2011

   

Yan Wu, Associate Professor     Department of Mathematical Sciences  at Georgia Southern University

  

Controllability and Observability of Sylvester Differential Algebraic Equations

 

Abstract

 

Differential Algebraic Equations (DAEs) arise naturally as governing equations for systems in chemical, electrical, and mechanical engineering as well as biological and economic models.  Therefore, the analysis of DAEs plays an important role in applied mathematics.  An overview of DAEs is provided in this talk, followed by our latest results on the first-order Sylvester type of differential algebraic systems with input and output structures incorporated in the system.  We first present a closed form representation for the general solution of matrix Sylvester DAEs in terms of the fundamental matrix solutions of one-sided subsystems.  The result is then used to derive a set of necessary and sufficient conditions for the complete controllability and complete observability of the Sylvester systems.  Most background materials will be introduced in the presentation, and this talk is accessible to students.


 
Previous Hudson Colloquia


March 3, 2010
Differential Galois Theory-Dr. Sabrina Hessinger

March 24, 2010
Results of the 2009 Putnam Competition-2009 AASU Putnam Team

April 7, 2010
TBA-Dr. Josh Lambert

April 21, 2010
TBA-Dr. Sungkon Chang

Spring 2010 Mathematics Cookout


Friday, April 16, Shearouse Plaza
Alumni welcome!
Contact Dr. Tim McMillan (Tim.McMillan@armstrong.edu)

Spring 2010 SERMON Number Theory Conference

Contact Dr. Sungkon Chang  
and/or link to the conference webpage







2009

August

11Dr. Hoffman presents results
17Mathematics student wins Outstanding Presentation award

October

06Mathematics department hosts a conference

2010

January

12The Armstrong Problem Solvers publish solutions

February

03Dr. Chang publishes a journal article

March

08CST student wins poster award
11Dr. Shields and Dr. Nivens present a poster

April

16Spring 2011 Mathematics Barbeque