Global Controlled Dynamics

Start: 02/12/2014 - 1:15pm
End  : 02/12/2014 - 2:15pm

Applied Math Seminar

Makis Kappos (Department of Mathematics, Yasar University, Izmir, Turkey)


Traditionally, control theory had as its main aim the stabilization of the dynamical behavior of a system, or the improvement of the transient dynamics. This is already a nontrivial problem for nonlinear systems, though the linear case is well understood and elegant. In this talk, we shall go beyond this, to address the problem of designing more complicated dynamical behavior (e.g., multiple equilibria, related among themselves in a particular way, or the creation of limit cycles.) As expected, Lyapunov functions play a role, but the analysis draws from global analysis, differential geometry and topology. We shall give an introduction to these ideas, emphasizing the possibility of bifurcation-like design.

CGU, Math South Conference Room, 710 N. College Ave

Misc. Information

Speaker's Affiliations: Department of Mathematics, Yasar University, Izmir, Turkey, on leave from Dept of Mathematics, Aristotle University of Thessaloniki, Greece; Previous appointments include Northeastern U. and Sheffield University and one-year visits to UC Berkeley and Santa Barbara