A certain class of control systems exhibit a surprising property that addition of extra differential equations suddenly allow the system to be put into a linearized normal form. This is known as extended dynamic feedback linearization (EDFL). Vassiliou showed that a sufficient condition for a control system with symmetry to be EDFL is another type of linearization known as cascade feedback linearization (CFL), in which the system has two “hidden” linearizable systems. This talk will give an overview of the CFL process as well as some new existence results for CFL systems.
Cascade Feedback Linearization
Sep. 03, 2019 2pm (MATH 350)
Lie Theory
Richard Green (CU)
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A Coxeter group is called a -group if its Coxeter diagram consists of a central node connected to three branches of lengths , , and . I will describe, in the special case , a diagram calculus for the generalized Temperley--Lieb algebra corresponding to this Coxeter group, and discuss how this relates to Kazhdan--Lusztig cells.
The generalized Temperley--Lieb algebra of type E(1,q,r)