Amir Ali Ahmadi
Amir Ali Ahmadi
Professor, Princeton ORFE
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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
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
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
Non-monotonic Lyapunov functions for stability of discrete time nonlinear and switched systems
AA Ahmadi, PA Parrilo
2008 47th IEEE conference on decision and control, 614-621, 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
A convex polynomial that is not sos-convex
AA Ahmadi, PA Parrilo
Mathematical Programming 135 (1), 275-292, 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
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
A complete characterization of the gap between convexity and SOS-convexity
AA Ahmadi, PA Parrilo
SIAM Journal on Optimization 23 (2), 811-833, 2013
Recent scalability improvements for semidefinite programming with applications in machine learning, control, and robotics
A Majumdar, G Hall, AA Ahmadi
Annual Review of Control, Robotics, and Autonomous Systems 3, 331-360, 2020
Sum of squares basis pursuit with linear and second order cone programming
AA Ahmadi, G Hall
Some applications of polynomial optimization in operations research and real-time decision making
AA Ahmadi, A Majumdar
Optimization Letters 10 (4), 709-729, 2016
Non-monotonic Lyapunov functions for stability of nonlinear and switched systems: theory and computation
AA Ahmadi
Massachusetts Institute of Technology, 2008
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
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
Optimization over structured subsets of positive semidefinite matrices via column generation
AA Ahmadi, S Dash, G Hall
Discrete Optimization 24, 129-151, 2017
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
DC decomposition of nonconvex polynomials with algebraic techniques
AA Ahmadi, G Hall
Mathematical Programming, 1-26, 2017
Algebraic relaxations and hardness results in polynomial optimization and Lyapunov analysis
AA Ahmadi
Massachusetts Institute of Technology, 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
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