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Prof. Manish Kumar awarded an NSF grant to study emergent behavior in complex networked systems

Prof. Manish Kumar awarded an NSF grant to study emergent behavior in complex networked systems

Professor Manish Kumar

 

Prof. Manish Kumar has been awarded a grant of $173,000 from the National Science Foundation to develop a theoretical basis to understand, analyze, and control emergent behavior in complex systems operating in uncertain environments.

 

The central approach uses the mathematical framework of stochastic differential equations wherein the complex system is treated as a dissipative Hamiltonian system coupled by nonlinear interacting potentials. This framework facilitates modeling the complex interactions, higher-dimensionality, nonlinearity, and uncertainty in complex systems as well as the control of desirable emergent behavior.

 

Potential future applications of this research include swarm robotic systems, power grids and communication networks. The full abstract of the research project can be accessed from the NSF’s website at the following URL:

http://www.nsf.gov/awardsearch/showAward.do?AwardNumber=1024608

 

Dr. Subramanian Ramakrishnan, a Sr. Research Associate in the School of Dynamic Systems, is the co-PI on this two year research project which is conducted in collaboration with Prof. Andrea Bertozzi of Department of Mathematics at the University of California at Los Angeles.