Beijing-Moscow Mathematics Colloquium (online)
Abstract
In 2000, S.P. Bhat and D.S. Bernstein proved that if the configuration space of an autonomous control mechanical system is closed (compact without boundary), then the system cannot have a globally asymptotically stable equilibrium [1]. We will present a similar result for non-autonomous control systems defined on manifolds with non-empty boundaries. The talk is based on the paper [2].
[1] Bhat S.P., Bernstein D.S. A topological obstruction to continuous global stabilization of rotational motion and the unwinding phenomenon Systems Control Lett., 39 (1) (2000), pp. 63-70
[2] I. Polekhin, “On the application of the Ważewski method to the problem of global stabilization”, Systems & Control Letters, 153 (2021) Share Link: https://authors.elsevier.com/a/1d2Qoc8EXim67
Bio
Russian Academy of Sciences prize for young Russian scientists (2020)
