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Math Colloquium: A State Space Analysis of Dirac Differential Systems with Rational Data
Start Date: 4/6/2015Start Time: 3:00 PM
End Date: 4/6/2015End Time: 4:00 PM

Event Description
M.A. Kaashoek, Vrije Universiteit, Amsterdam

 

Abstract: The research reported on has its roots in joint work with the late Israel Gohberg and Alexander Sakhnovich (Vienna), which started in the nineties. The differential systems will be of Dirac type, selfadjoint or skew-selfadjoint, continuous variable or discrete variable. Amongst other things such systems serve as auxiliary systems for integrable nonlinear PDEs. In all cases considered the Weyl function will be rational matrix function. This allows us to use state space techniques from mathematical system theory to solve explicitly various direct and inverse problems, and to obtain explicit solution for a number of classical PDEs. The emphasis will be on "early results" rather than on the most recent ones.
Contact Information:
Name: Ron Perline
Email: rperline@math.drexel.edu
Location:
Korman Center, Room 245, 15 South 33rd Street, Philadelphia, PA 19104
Audience:
  • Everyone
    		•

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