Amir Ali Ahmadi
Amir Ali Ahmadi
Professor, Princeton ORFE
Verified email at princeton.edu - Homepage
TitleCited byYear
DSOS and SDSOS optimization: more tractable alternatives to sum of squares and semidefinite optimization
AA Ahmadi, A Majumdar
arXiv preprint arXiv:1706.02586, 2017
164*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
1012013
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
992013
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
952008
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
722014
A convex polynomial that is not sos-convex
AA Ahmadi, PA Parrilo
Mathematical Programming 135 (1-2), 275-292, 2012
672012
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
582014
A complete characterization of the gap between convexity and SOS-convexity
AA Ahmadi, PA Parrilo
SIAM Journal on Optimization 23 (2), 811-833, 2013
552013
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
552011
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
402008
Sum of squares basis pursuit with linear and second order cone programming
AA Ahmadi, G Hall
382015
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
362011
Some applications of polynomial optimization in operations research and real-time decision making
AA Ahmadi, A Majumdar
Optimization Letters 10 (4), 709-729, 2016
352016
Algebraic relaxations and hardness results in polynomial optimization and Lyapunov analysis
AA Ahmadi
Massachusetts Institute of Technology, 2011
342011
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
252017
On higher order derivatives of Lyapunov functions
AA Ahmadi, PA Parrilo
American Control Conference (ACC), 2011, 1313-1314, 2011
242011
Optimization over structured subsets of positive semidefinite matrices via column generation
AA Ahmadi, S Dash, G Hall
Discrete Optimization 24, 129-151, 2017
222017
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
222014
Two-photon absorption for optical clock recovery in OTDM networks
R Salem, AA Ahmadi, GE Tudury, GM Carter, TE Murphy
Journal of lightwave technology 24 (9), 3353, 2006
202006
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