- RMITOpt Seminar – August the 3rd, 2018: The Information Geometry of Sensing
- RMITOpt Seminar – Dr. Robin Hill, Department of Electrical Engineering at the University of Melbourne
|Speaker: Dr Lizhen Shao, School of Automation and Electrical Engineering, University of Science and Technology Beijing, China.
Title: Approximation of Convex Bodies by Multiple Objective Optimization and an Application in Reachable Sets
Date and Time: Friday, August 17th, 2018 3.00pm – 4.00pm
Location: Building 8 Level 9 Room 66 (AGR) RMIT City campus (To connect via visimeet please contact email@example.com)
|Abstract: In this talk, we focus on approximating convex compact bodies. For a convex body described as the feasible set in objective space of a multiple objective programme, we show that finding it is equivalent to finding the non-dominated set of a multiple objective programme. This equivalence implies that convex bodies can be approximated using multiple objective optimization algorithms. Therefore, we propose a revised outer approximation algorithm for convex multiple objective programming problems to approximate convex bodies. Finally, we apply the algorithm to solve reachable sets of control systems and use numerical examples to show the effectiveness of the algorithm.
Bio: Dr Lizhen Shao was born in China. She did her PhD study on multicriteria optimization with Professor Matthias Ehrgott at the University of Auckland, New Zealand. Since 2009 she has been working at the School of Automation and Electrical Engineering, University of Science and Technology Beijing, China. Now she is an Associate Professor there.