Amir Ali Ahmadi
Amir Ali Ahmadi
Professor, Princeton ORFE
Verified email at princeton.edu - Homepage
Title
Cited by
Cited by
Year
DSOS and SDSOS optimization: more tractable alternatives to sum of squares and semidefinite optimization
AA Ahmadi, A Majumdar
arXiv preprint arXiv:1706.02586, 2017
204*2017
NP-hardness of deciding convexity of quartic polynomials and related problems
AA Ahmadi, A Olshevsky, PA Parrilo, JN Tsitsiklis
Mathematical Programming 137 (1-2), 453-476, 2013
1192013
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
1152013
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
1142008
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
882014
A convex polynomial that is not sos-convex
AA Ahmadi, PA Parrilo
Mathematical Programming 135 (1-2), 275-292, 2012
722012
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
662014
A complete characterization of the gap between convexity and SOS-convexity
AA Ahmadi, PA Parrilo
SIAM Journal on Optimization 23 (2), 811-833, 2013
632013
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 50thá…, 2011
612011
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 systemsá…, 2011
452011
Non-monotonic Lyapunov functions for stability of nonlinear and switched systems: theory and computation
AA Ahmadi
Massachusetts Institute of Technology, 2008
442008
Sum of squares basis pursuit with linear and second order cone programming
AA Ahmadi, G Hall
432015
Some applications of polynomial optimization in operations research and real-time decision making
AA Ahmadi, A Majumdar
Optimization Letters 10 (4), 709-729, 2016
392016
Converse results on existence of sum of squares Lyapunov functions
AA Ahmadi, PA Parrilo
Decision and Control and European Control Conference (CDC-ECC), 2011 50thá…, 2011
392011
Algebraic relaxations and hardness results in polynomial optimization and Lyapunov analysis
AA Ahmadi
Massachusetts Institute of Technology, 2011
362011
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
292017
On higher order derivatives of Lyapunov functions
AA Ahmadi, PA Parrilo
American Control Conference (ACC), 2011, 1313-1314, 2011
272011
Optimization over structured subsets of positive semidefinite matrices via column generation
AA Ahmadi, S Dash, G Hall
Discrete Optimization 24, 129-151, 2017
252017
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
232014
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
222017
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