Krishnamurthy (Dj) Dvijotham bio photo

Krishnamurthy (Dj) Dvijotham

Postdoctoral Fellow, CMI, Caltech

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I’m a postdoctoral fellow at the Center for Mathematics of Information (CMI) at Caltech hosted by professor Steven Low. Previously, I got a PhD at the University of Washington working with professors Emanuel Todorov and Maryam Fazel and a Bachelors at IIT Bombay.

My research focuses on developing computationally efficient tools for mathematically rigorous analysis, optimization and control of complex physical systems. My work draws on tools from stochastic optimal control, convex optimization, robust control and machine learning to develop analysis and control algorithms that are:
1. Computationally efficient: They are guaranteed to find solutions quickly.
2. Mathematically rigorous: They are guaranteed to find solutions that are stable and robust (for appropriate definitions of these notions).
3. Simple: The solutions found are simple to implement from an engineering perspective.

Recently, I have been focusing on optimization and control of large-scale infrastructure networks like the electric power grid and the natural gas pipeline grid. Systems like these are critical infrastructures whose failure can have a huge economic impact, worth hundreds of billions of dollars. Thus, they must be operated in a reliable and robust manner, even in the face of uncertain supply and demand. At the same time, these systems are being subjected to greater levels of stress and uncertainty, due to growing energy demands and the governmental mandates requiring utilities to shift to sustainable but intermittent sources like wind and solar energy.

Motivated by these concerns, my recent work has focused on feasibility, robustness and stability issues in infrastructure networks. To learn more about my work, please check out the research section.