# Publications

#### Representative publications

- K. Dvijotham, H. Nguyen, and K. Turitsyn, “Solvability regions of affinely parameterized quadratic equations,”
*IEEE Control Systems Letters*, vol. PP, no. 99, pp. 1–1, 2017. - K. Dvijotham, E. Mallada, and J. W. Simpson-Porco, “High-Voltage Solution in Radial Power Networks: Existence, Properties, and Equivalent Algorithms,”
*IEEE Control Systems Letters*, vol. 1, no. 2, pp. 322–327, Oct. 2017. - N. A. Ruhi, K. Dvijotham, N. Chen, and A. Wierman, “Opportunities for Price Manipulation by Aggregators in Electricity Markets,”
*IEEE Transactions on Smart Grid*, vol. PP, no. 99, pp. 1–1, 2017. - K. Dvijotham, Y. Rabani, and L. Schulman, “Convergence of incentive-driven dynamics in Fisher markets,” in
*Proceedings of the Twenty-Seventh Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2017, Barcelona, Spain, January 10-12, 2017*, 2017, pp. 2039–2052. - K. Dvijotham, M. Chertkov, P. Van Hentenryck, M. Vuffray, and S. Misra, “Graphical models for optimal power flow,”
*Constraints*, pp. 1–26, 2016. - K. Dvijotham, M. Fazel, and E. Todorov, “Universal Convexification via Risk-Aversion,” in
*Proceedings of the Thirtieth Conference Annual Conference on Uncertainty in Artificial Intelligence (UAI-14)*, Corvallis, Oregon, 2014, pp. 162–171. - K. Dvijotham and E. Todorov, “Linearly Solvable Optimal Control,” in
*Reinforcement Learning and Approximate Dynamic Programming for Feedback Control*, John Wiley & Sons, Inc., 2013, pp. 119–141. - K. Dvijotham, S. Chakrabarti, and S. Chaudhuri, “New Closed-Form Bounds on the Partition Function,” in
*Joint European Conference on Machine Learning and Knowledge Discovery in Databases*, 2008, pp. 8–8.

#### Full list of publications

#### 2017

- K. Dvijotham, H. Nguyen, and K. Turitsyn, “Solvability regions of affinely parameterized quadratic equations,”
*IEEE Control Systems Letters*, vol. PP, no. 99, pp. 1–1, 2017. - K. Dvijotham, E. Mallada, and J. W. Simpson-Porco, “High-Voltage Solution in Radial Power Networks: Existence, Properties, and Equivalent Algorithms,”
*IEEE Control Systems Letters*, vol. 1, no. 2, pp. 322–327, Oct. 2017. - Y. Tang, K. Dvijotham, and S. Low, “Real-time Optimal Power Flow,”
*IEEE Transactions on Smart Grid*, vol. PP, no. 99, pp. 1–1, 2017. - D. Wu, D. K. Molzahn, B. C. Lesieutre, and K. Dvijotham, “A Deterministic Method to Identify Multiple Local Extrema for the AC Optimal Power Flow Problem,”
*IEEE Transactions on Power Systems*, vol. PP, no. 99, pp. 1–1, 2017. - K. Dvijotham, Y. Rabani, and L. Schulman, “Convergence of incentive-driven dynamics in Fisher markets,” in
*Proceedings of the Twenty-Seventh Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2017, Barcelona, Spain, January 10-12, 2017*, 2017, pp. 2039–2052. - N. A. Ruhi, K. Dvijotham, N. Chen, and A. Wierman, “Opportunities for Price Manipulation by Aggregators in Electricity Markets,”
*IEEE Transactions on Smart Grid*, vol. PP, no. 99, pp. 1–1, 2017.

#### 2016

- K. Dvijotham and D. Molzahn, “Error bounds on the DC power flow approximation: A convex relaxation approach,” in
*2016 55th IEEE Conference on Decision and Control (CDC)*, 2016, pp. 23–30. - K. Dvijotham, M. Chertkov, P. Van Hentenryck, M. Vuffray, and S. Misra, “Graphical models for optimal power flow,”
*Constraints*, pp. 1–26, 2016.

#### 2015

- K. Dvijotham, E. Todorov, and M. Fazel, “Convex Structured Controller Design in Finite Horizon,”
*IEEE Transactions on Control of Network Systems*, vol. 2, no. 1, pp. 1–10, 2015. - K. Dvijotham, M. Vuffray, S. Misra, and M. Chertkov, “Natural Gas Flow Solutions with Guarantees: A Monotone Operator Theory Approach,”
*ArXiv e-prints*, Jun. 2015. - K. Dvijotham and K. Turitsyn, “Construction of power flow feasibility sets,”
*ArXiv e-prints*, Jun. 2015. - K. Dvijotham, S. Low, and M. Chertkov, “Solving the power flow equations: a monotone operator approach,”
*ArXiv e-prints*, Jun. 2015. - K. Dvijotham and M. Chertkov, “Convexity of structure preserving energy functions in power transmission: Novel results and applications,” in
*2015 American Control Conference (ACC)*, 2015, pp. 5035–5042. - K. Dvijotham, M. Chertkov, and S. Low, “A differential analysis of the power flow equations,” in
*2015 54th IEEE Conference on Decision and Control (CDC)*, 2015, pp. 23–30. - K. Dvijotham, “Systems of quadratic equations: Efficient solution algorithms and conditions for solvability,” in
*2015 53rd Annual Allerton Conference on Communication, Control, and Computing (Allerton)*, 2015, pp. 1027–1031.

#### 2014

- K. Dvijotham, M. Chertkov, and S. Backhaus, “Storage sizing and placement through operational and uncertainty-aware simulations,” in
*2014 47th Hawaii International Conference on System Sciences*, 2014, pp. 2408–2416. - K. Dvijotham, “Automating Stochastic Optimal Control,” PhD thesis, 2014.
- K. Dvijotham, M. Fazel, and E. Todorov, “Universal Convexification via Risk-Aversion,” in
*Proceedings of the Thirtieth Conference Annual Conference on Uncertainty in Artificial Intelligence (UAI-14)*, Corvallis, Oregon, 2014, pp. 162–171. - K. Dvijotham, M. Fazel, and E. Todorov, “Convex risk averse control design,” in
*53rd IEEE Conference on Decision and Control*, 2014, pp. 4020–4025.

#### 2013

- K. Dvijotham and E. Todorov, “Linearly Solvable Optimal Control,” in
*Reinforcement Learning and Approximate Dynamic Programming for Feedback Control*, John Wiley & Sons, Inc., 2013, pp. 119–141. - E. Theodorou, D. Krishnamurthy, and E. Todorov, “From information theoretic dualities to path integral and kullback-leibler control: Continuous and discrete time formulations,” in
*The Sixteenth Yale Workshop on Adaptive and Learning Systems*, 2013. - E. Theodorou, K. Dvijotham, and E. Todorov, “Time varying nonlinear Policy Gradients.,” in
*CDC*, 2013, pp. 7765–7770. - K. Dvijotham and R. Sharma, “Battery life estimation in a real-time energy management system,” in
*2013 IEEE Power Energy Society General Meeting*, 2013, pp. 1–5.

#### 2012

- K. Dvijotham and E. Todorov, “Linearly solvable Markov games,” in
*2012 American Control Conference (ACC)*, 2012, pp. 1845–1850. - K. Dvijotham, S. Backhaus, and M. Chertkov, “Distributed control of generation in a transmission grid with a high penetration of renewables,” in
*Smart Grid Communications (SmartGridComm), 2012 IEEE Third International Conference on*, 2012, pp. 635–640.

#### 2011

- K. Dvijotham and E. Todorov, “A Unifying Framework for Linearly Solvable Control,” in
*Proceedings of the Twenty-Seventh Conference Annual Conference on Uncertainty in Artificial Intelligence (UAI-11)*, Corvallis, Oregon, 2011, pp. 179–186. - K. Dvijotham, S. Backhaus, and M. Chertkov, “Operations-Based Planning for Placement and Sizing of Energy Storage in a Grid With a High Penetration of Renewables,”
*ArXiv e-prints*, Jul. 2011.

#### 2010 and earlier

- K. Dvijotham and E. Todorov, “Inverse optimal control with linearly-solvable MDPs,” in
*Proceedings of the 27th International Conference on Machine Learning (ICML-10)*, 2010, pp. 335–342. - K. Dvijotham and M. Fazel, “A nullspace analysis of the nuclear norm heuristic for rank minimization,” in
*2010 IEEE International Conference on Acoustics, Speech and Signal Processing*, 2010, pp. 3586–3589.

- K. Dvijotham, S. Chakrabarti, and S. Chaudhuri, “New Closed-Form Bounds on the Partition Function,” in
*Joint European Conference on Machine Learning and Knowledge Discovery in Databases*, 2008, pp. 8–8.