Abstracts
for the Seminar

Spring 2016

**Speaker: **Cornel Sultan, Virginia Tech

**Title: **Decoupling Approximation Design

**Time:** 2:30 PM, Monday, February 29, 2016

**Place:** Malott 206

**Abstract:** Coordinate coupling raises numerical, analysis, and design difficulties that
grow with the size of the system. Decoupled dynamic equations simplify the above
processes since each equation can be treated independently. Most models of physical
systems are not decoupled so developing accurate approximations is of interest.
In this talk the issue of building such accurate decoupled approximations is
addressed. Specifically, operator norms are used to characterize the approximation
error. Then some system parameters are selected to minimize this error. The
advantage of using operator norms is that the decoupling approximation is guaranteed
to be accurate over large spaces of theoretically and practically relevant signals. These
ideas are illustrated on tensegrity structures which are designed to yield accurate
decoupled models with respect to finite energy and finite peak signals. Further
analysis corrects several misconceptions regarding decoupling and system properties.

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