Abstract：

A wide variety of problems can be described and studied using the framework provided by differential game theory. We focus on a class of nonzero-sum, infinite horizon differential games. Obtaining solutions to such problems involves solving a system of coupled partial differential equations and, in general, closed-form solutions to these cannot be readily obtained. For this reason, it is often necessary to settle for approximate solutions. A systematic method of constructing approximate solutions to the class of differential games, without solving partial differential equations, is presented and applied to a variety of numerical examples. Furthermore, through the introduction of these examples we highlight some possible areas of applications for the developed theory. Notable examples which will be encountered are a competitive biological system, multi-agent systems and power systems.

Bio:

Thulasi Mylvaganam was born in Bergen, Norway, in 1988. She received the M.Eng. degree in electrical and electronic engineering from Imperial College London in 2010 and the Ph.D. degree with the Control and Power Research Group in the Department of Electrical and Electronic Engineering, Imperial College London in 2014. She is currently a Postdoctoral Research Associate at the Department of Electrical and Electronic Engineering, Imperial College London. Her research interests include multi-agent systems and differential games and their applications.