DEPARTMENT OF MATHEMATICAL SCIENCES

APPLIED AND COMPUTATIONAL MATHEMATICS SEMINAR

**Speaker:**Carlos Rautenberg, Humboldt University, Berlin

**Title: ***
A Robust Approach to Optimal Sensor Placement
*

**Abstract:**
We address the problem of optimally placing sensor networks for
convection-diffusion processes where the convective part is perturbed.
The problem arises in a variety of engineering and science
applications such as locating thermostats in large buildings.
We formulate an optimal control problem where the Riccati equation is
a constraint and the design variables are sensor locations.
The objective functional involves a term associated to the trace of
the solution to the Riccati equation and a term given by an additional
constrained optimization problem subject to a set of admissible
perturbations.
We address the sensitivity of the Riccati equation, well-posedness of
the overall optimization problem, and provide a range of numerical tests.

**Time:** Friday, March 11, 2016, 2:30-3:20 p.m.

**Place:** Exploratory Hall, Room 4106

Department of Mathematical Sciences

George Mason University

4400 University Drive, MS 3F2

Fairfax, VA 22030-4444

http://math.gmu.edu/

Tel. 703-993-1460, Fax. 703-993-1491