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SUMMARY:Control and Optimization of Nonlinear Systems in Operator Form
  (Edalatzadeh\, TU Chemnitz))
UID:51e0bd22-f740-469c-aa5f-805866fcb5b2
DESCRIPTION:Control and Optimization of Nonlinear Systems in Operator 
 Form Sajjad Edalatzadeh\, TU Chemnitz Abstract: The state of many phys
 ical systems is distributed over space\, and thus described by partial
  differential equations (PDEs). For linear PDEs\, it is useful to form
 ulate and study a system in an operator setting. This often makes the 
 results applicable to general classes of linear PDEs. This generalizat
 ion however is still in early stages for nonlinear PDEs. In this talk\
 , general classes of nonlinear PDEs are introduced with examples. An i
 nteresting optimization problem that aims to concurrently find an opti
 mal control and actuator design is discussed for each class. New exist
 ence results as well as optimality conditions will be presented. Furth
 er analysis is conducted for some nonlinear PDE models including railw
 ay track model and micro-beam model. Shape optimization\, input-to-sta
 te stability and non-collocated observation are among the topics that 
 will be discussed for these models. The talk will conclude with some f
 uture research directions. https://en.www.math.fau.de/applied-analysis
 /caa-talks/
DTSTART:20200211T090000Z
DTEND:20200211T100000Z
LOCATION:03.323 Besprechungsraum
DTSTAMP:20260724T000950Z
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