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SUMMARY:Gabriel Velho (CentraleSupélec)
DTSTART:20240826T111500Z
DTEND:20240826T120000Z
DTSTAMP:20260417T003615Z
UID:cam/40
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/cam/40/">Sta
 bilization and Optimal Control of Interconnected SDE - Scalar PDE System</
 a>\nby Gabriel Velho (CentraleSupélec) as part of CAM seminar\n\nLecture 
 held in MV:L14.\n\nAbstract\nIn this talk\, I will present my work on the 
 optimal control and stabilization of a system composed of an interconnecte
 d Stochastic Differential Equation (SDE) and a Scalar Partial Differential
  Equation (PDE)\, with control applied at the boundary of the PDE. Such sy
 stems can be found in practical scenarios\, such as in temperature control
  of a building where heat must be transmitted from a distance.\nI will beg
 in with an introduction to boundary control of PDEs\, emphasizing the back
 stepping method—a powerful technique for designing boundary controllers 
 that stabilize PDEs. In particular\, we will see how backstepping can be e
 mployed to stabilize a system of coupled hetero-directional transport equa
 tions.\nNext\, we will examine the complete system where this PDE is conne
 cted with an SDE at the boundary. I will show how backstepping transforms 
 this problem into an equivalent control problem for an input-delayed SDE\,
  making it more tractable.\nFinally\, I will discuss the implications of i
 nput delays in controlling SDEs with additive noise\, particularly how the
 se delays impact system performance and the strategies we can use to mitig
 ate these effects.\n
LOCATION:https://researchseminars.org/talk/cam/40/
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