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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
389*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
1922013
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
1592013
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
1562008
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
1372014
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
1262020
A complete characterization of the gap between convexity and SOS-convexity
AA Ahmadi, PA Parrilo
SIAM Journal on Optimization 23 (2), 811-833, 2013
972013
A convex polynomial that is not sos-convex
AA Ahmadi, PA Parrilo
Mathematical Programming 135 (1), 275-292, 2012
962012
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
902011
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
892014
Some applications of polynomial optimization in operations research and real-time decision making
AA Ahmadi, A Majumdar
Optimization Letters 10 (4), 709-729, 2016
842016
Sum of squares basis pursuit with linear and second order cone programming
AA Ahmadi, G Hall
722015
Learning dynamical systems with side information
AA Ahmadi, B El Khadir
SIAM Review, Research Spotlight, 2023
572023
Non-monotonic Lyapunov functions for stability of nonlinear and switched systems: theory and computation
AA Ahmadi
Massachusetts Institute of Technology, 2008
562008
DC decomposition of nonconvex polynomials with algebraic techniques
AA Ahmadi, G Hall
Mathematical Programming, 1-26, 2017
532017
Optimization over structured subsets of positive semidefinite matrices via column generation
AA Ahmadi, S Dash, G Hall
Discrete Optimization 24, 129-151, 2017
522017
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
512017
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
472011
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
462011
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
442017
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