Pursuit-evasion games in mobile networks

In the last two decades, there has been an enormous effort to deploy a network of autonomous mobile platforms in various scenarios related to military as well as civilian applications. Interesting research problems related to security range from the development of secure communication protocols for a network of autonomous mobile agents to the development of novel deployment algorithms for a group of mobile agents trying to secure a network or an area from malicious intruders.;In this thesis, we investigate the interaction between the mobile agents and an intruder in the environment or the communication network. In contradistinction to the previous research in this area, we model the intrusion as a pursuit-evasion game in continuous time and space. We model the intruder as an antagonistic agent and apply tools from differential game theory in order to obtain the optimal motion strategies for the agents to track the intruder as well as evade intrusion.