Thesis
"Graphs, Simplicial Complexes and Beyond: Topological Tools for Multiagent Coordination," PhD thesis, Electrical and Computer Engineering, Georgia Institute of Technology, GA, December 2005. (Download here) "Synchronized Chaos for Secure Communication: Theory, Design and Implementation," BSc thesis, Electrical Engineering, University of Engineering and Technology, Lahore, Pakistan, March 2000. Journal Articles
Abubakr Muhammad and Magnus Egerstedt., “Connectivity Graphs as Models of Local Interactions,” Journal of Applied Mathematics and Computation, Vol. 168, Issue 1, September 2005, Pages 243- 269. Abubakr Muhammad and Magnus Egerstedt, “Semi-definite Programming for Feasible Formation Switching,” SIAM Journal on Control and Optimization (Under revision). Abubakr Muhammad and Ali Jadbabaie, ``From Consensus in Switching Graphs to Coverage in Switching Simplicial Complexes." preprint. Abubakr Muhammad and Ali Jadbabaie, ``Computing Homology on Real Networks,", preprint.
Book Chapters
Abubakr Muhammad and Magnus Egerstedt, “Decentralized coordination with local interactions: Some new directions,” Cooperative Control, Springer Lecture Notes in Control and Information Sciences (LNCIS), Vol. 309, 2005. Abubakr Muhammad, Meng Ji and Magnus Egerstedt, "Applications of Connectivity Graph Processes in Networked Sensing and Control," Networked Embdedded Sensing and Control, Lecture Notes in Control and Information Sciences (LNCIS), Vol. 331, 2006. Conference Articles
Abubakr Muhammad and Ali Jadbabaie, "Asymptotic Stability of Switched k-Laplacians Implies Dynamic Coverage", Hybrid Systems, Computation and Control, HSCC, Pisa, Italy, 2007. Abubakr Muhammad and Ali Jadbabaie, "Decentralized Computation of Homology Groups in Networks by Gossip", American Control Conference, 2007. Abubakr Muhammad and Magnus Egerstedt, "Control Using Higher Order Laplacians in Network Topologies," Mathematical Theory of Networks and Systems, pp. 1024-1038, Kyoto, Japan, July, 2006. Abubakr Muhammad and Magnus Egerstedt, “Network Configuration Control Via Connectivity Graph Processes,” American Control Conference, Minneapolis, 2006. Meng Ji, Abubakr Muhammad and Magnus Egerstedt, “Leader-Based Multi-Agent Coordination: Controllability and Optimal Control,” American Control Conference, Minneapolis, 2006. Abubakr Muhammad and Magnus Egerstedt., “Positivstellensatz Certificates for Non-Feasibility of Connectivity Graphs in Multi-agent Coordination,” 16th IFAC World Congress, Prague, July 4-8, 2005. 
Vin de Silva, Robert Ghrist and Abubakr Muhammad, “Blind Swarms for Coverage in 2-D”, Robotics: Science and Systems, Massachusetts Institute of Technology, Cambridge, MA, June 8-11, 2005. Robert Ghrist and Abubakr Muhammad, “Coverage and Hole-Detection in Sensor Networks via Homology,” The Fourth International Conference on Information Processing in Sensor Networks (IPSN'05), April 25-27, 2005, UCLA, Los Angeles, CA. Abubakr Muhammad and Magnus Egerstedt. Connectivity Graphs as Models of Local Interactions," 43rd IEEE Control and Decision Conference, Bahamas, 2004. Abubakr Muhammad and Magnus Egerstedt. On the Structural Complexity of Multi-Agent Robot Formations 2004 American Control Conference, (ACC'04), June 30 - July 2, 2004, Boston, Massachussetts, USA. Abubakr Muhammad and Magnus Egerstedt. Topology and Complexity of Formations. 2nd International Workshop on the Mathematics and Algorithms of Social Insects. Georgia Institute of Technology, Atlanta, Georgia, USA; December 15-17, 2003. H. Axelsson, Abubakr Muhammad, and M. Egerstedt. Autonomous Formation Switching for Multiple, Mobile Robots. IFAC Conference on Analysis and Design of Hybrid Systems, Sant-Malo, Brittany, France, June 2003 M. Egerstedt, Abubakr Muhammad, and X. Hu. Formation Control Under Limited Sensory Range Constraints. 10th Mediterranean Conference on Control and Automation, Lisbon, Portugal, July 2002 Abubakr Muhammad. Biological Receptive fields for motion detection, FAST-IEEE student conference on CS and IT 1998. FISC' 98, Lahore, Pakistan. Expository/Survey Articles
Abubakr Muhammad, "Nonlinear Dynamics and Control of Mechanical Systems with Constraints and Symmetries: A Lagrangian Perspective," Georgia Tech Technical Report, 2002. Abubakr Muhammad, “Sub-Riemannian Geometry: Basic Concepts and Examples,” Georgia Tech Technical Report, 2005. Abubakr Muhammad, "Notes on Homology Groups of Topological Spaces," 2005. Presentations/Talks:
Mathematical Theory of Networks and Systems (MTNS), Kyoto, Japan, July 2006 SWARMS meeting, University of Pennsylvania, May 2006 Systems and Controls Seminar, Georgia Tech, April 2006 Networked Enabled Sensing and Control (NESC), Notre Dame, Sept 2005 Seminar at GRASP Lab, University of Pennsylvania, Sept 2005 Dept of Mathematics, Georgia Institute of Technology, July 2005 Information Processing in Sensor Networks (IPSN), Los Angeles, CA Apr 2005 Stanford University Topology Seminar, Palo Alto, CA, Dec 2004 AMS Sectional Meeting, Evanston, IL, Oct 2004
