| DSOS and SDSOS optimization: more tractable alternatives to sum of squares and semidefinite optimization AA Ahmadi, A Majumdar SIAM Journal on Applied Algebra and Geometry 3 (2), 193-230, 2019 | 222* | 2019 |
| NP-hardness of deciding convexity of quartic polynomials and related problems AA Ahmadi, A Olshevsky, PA Parrilo, JN Tsitsiklis Mathematical Programming 137 (1), 453-476, 2013 | 123 | 2013 |
| Control design along trajectories with sums of squares programming A Majumdar, AA Ahmadi, R Tedrake 2013 IEEE International Conference on Robotics and Automation, 4054-4061, 2013 | 122 | 2013 |
| Non-monotonic Lyapunov functions for stability of discrete time nonlinear and switched systems AA Ahmadi, PA Parrilo Decision and Control, 2008. CDC 2008. 47th IEEE Conference on, 614-621, 2008 | 116 | 2008 |
| Joint Spectral Radius and Path-Complete Graph Lyapunov Functions AA Ahmadi, RM Jungers, PA Parrilo, M Roozbehani SIAM Journal on Control and Optimization 52 (1), 687-717, 2014 | 91 | 2014 |
| A convex polynomial that is not sos-convex AA Ahmadi, PA Parrilo Mathematical Programming 135 (1-2), 275-292, 2012 | 73 | 2012 |
| Control and verification of high-dimensional systems with DSOS and SDSOS programming A Majumdar, AA Ahmadi, R Tedrake Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on, 394-401, 2014 | 69 | 2014 |
| A complete characterization of the gap between convexity and SOS-convexity AA Ahmadi, PA Parrilo SIAM Journal on Optimization 23 (2), 811-833, 2013 | 66 | 2013 |
| A globally asymptotically stable polynomial vector field with no polynomial Lyapunov function AA Ahmadi, M Krstic, PA Parrilo Decision and Control and European Control Conference (CDC-ECC), 2011 50th …, 2011 | 65 | 2011 |
| Sum of squares basis pursuit with linear and second order cone programming AA Ahmadi, G Hall | 45 | 2015 |
| Analysis of the joint spectral radius via Lyapunov functions on path-complete graphs AA Ahmadi, R Jungers, PA Parrilo, M Roozbehani Proceedings of the 14th international conference on Hybrid systems …, 2011 | 45 | 2011 |
| Non-monotonic Lyapunov functions for stability of nonlinear and switched systems: theory and computation AA Ahmadi Massachusetts Institute of Technology, 2008 | 45 | 2008 |
| Some applications of polynomial optimization in operations research and real-time decision making AA Ahmadi, A Majumdar Optimization Letters 10 (4), 709-729, 2016 | 38 | 2016 |
| Converse results on existence of sum of squares Lyapunov functions AA Ahmadi, PA Parrilo Decision and Control and European Control Conference (CDC-ECC), 2011 50th …, 2011 | 38 | 2011 |
| Algebraic relaxations and hardness results in polynomial optimization and Lyapunov analysis AA Ahmadi Massachusetts Institute of Technology, 2011 | 36 | 2011 |
| A characterization of lyapunov inequalities for stability of switched systems RM Jungers, AA Ahmadi, PA Parrilo, M Roozbehani IEEE Transactions on Automatic Control 62 (6), 3062-3067, 2017 | 32 | 2017 |
| Optimization over structured subsets of positive semidefinite matrices via column generation AA Ahmadi, S Dash, G Hall Discrete Optimization 24, 129-151, 2017 | 27 | 2017 |
| Towards scalable algorithms with formal guarantees for Lyapunov analysis of control systems via algebraic optimization AA Ahmadi, P Parrilo Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on, 2272-2281, 2014 | 25 | 2014 |
| On higher order derivatives of Lyapunov functions AA Ahmadi, PA Parrilo American Control Conference (ACC), 2011, 1313-1314, 2011 | 25 | 2011 |
| Improving efficiency and scalability of sum of squares optimization: Recent advances and limitations AA Ahmadi, G Hall, A Papachristodoulou, J Saunderson, Y Zheng Decision and Control (CDC), 2017 IEEE 56th Annual Conference on, 453-462, 2017 | 24 | 2017 |
Pablo A. ParriloProfessor of Electrical Engineering and Computer Science, Massachusetts Institute of TechnologyVerified email at mit.edu
