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Complex Analysis and Geometry Seminar

The notions of first integral and involutivity, and some applications to control problems

Professor C.K. Han from Seoul National University

Location:  Hill 525
Date & time: Friday, 29 September 2023 at 10:30AM - 11:30PM

Abstract:  The notion of first integral came from the classical mechanics.  The constants of motion, namely, the total enegy and the angular momentum in the Newtonian mechanics are typical examples of the first integral.   I will survey briefly how these notions have been  generalized along the lines of exterior differential systems, including the Frobenius theorem on integrability.   Then we shall discuss the partial integrability and the notion of weak first integral,  and as  applications,  the affine  control  problems with prescribed obstacles and the stability of population dynamics of Kolmogorov type.

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