IISER Mohali, Knowledge city, Sector 81, SAS Nagar, Manauli PO 140306

Ingham inequality and its application to control theory

Debanjana Mitra (IIT Bombay)

Location Online
Day and time: 15 July, 2021(Thursday) at 5 pm IST

Abstract: Families of non-harmonic exponentials often appear in various fields of mathematics and in particular, control theory. We shall discuss on the Ingham inequality, the celebrated generalization of Parseval's equality, which is one of the key tools to determine some special properties of the exponentials. This Ingham inequality is extensively used to study the observability and hence the controllability of a linear PDE system, provided the associated linear operator has the spectrum satisfying a suitable gap condition. We shall see this application to the wave equation and briefly to the one dimensional compressible Navier-Stokes system linearized around a constant steady state.
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Meeting ID: 943 7403 6747
Passcode: 518065

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