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ORCIDAmir Ali Ahmadi
- > Home > Persons > Amir Ali Ahmadi
Publications
- 2018
[i27]Amir Ali Ahmadi, Pablo A. Parrilo:
Sum of squares certificates for stability of planar, homogeneous, and switched systems. CoRR abs/1801.00070 (2018)- 2017
- [j7]Raphaël M. Jungers, Amir Ali Ahmadi, Pablo A. Parrilo
, Mardavij Roozbehani:
A Characterization of Lyapunov Inequalities for Stability of Switched Systems. IEEE Trans. Autom. Control. 62(6): 3062-3067 (2017) - [j6]Amir Ali Ahmadi, Pablo A. Parrilo:
Sum of Squares Certificates for Stability of Planar, Homogeneous, and Switched Systems. IEEE Trans. Autom. Control. 62(10): 5269-5274 (2017) - [p1]Amir Ali Ahmadi, Pablo A. Parrilo:
Some Recent Directions in Algebraic Methods for Optimization and Lyapunov Analysis. Geometric and Numerical Foundations of Movements 2017: 89-112 - 2014
- [j4]Amir Ali Ahmadi, Raphaël M. Jungers, Pablo A. Parrilo, Mardavij Roozbehani:
Joint Spectral Radius and Path-Complete Graph Lyapunov Functions. SIAM J. Control. Optim. 52(1): 687-717 (2014) - [c16]Amir Ali Ahmadi, Pablo A. Parrilo:
Towards scalable algorithms with formal guarantees for Lyapunov analysis of control systems via algebraic optimization. CDC 2014: 2272-2281 - 2013
- [j3]Amir Ali Ahmadi, Alexander Olshevsky, Pablo A. Parrilo, John N. Tsitsiklis:
NP-hardness of deciding convexity of quartic polynomials and related problems. Math. Program. 137(1-2): 453-476 (2013) - [j2]Amir Ali Ahmadi, Pablo A. Parrilo:
A Complete Characterization of the Gap between Convexity and SOS-Convexity. SIAM J. Optim. 23(2): 811-833 (2013) - [i8]Amir Ali Ahmadi, Pablo A. Parrilo:
Stability of Polynomial Differential Equations: Complexity and Converse Lyapunov Questions. CoRR abs/1308.6833 (2013) - 2012
- [j1]Amir Ali Ahmadi, Pablo A. Parrilo:
A convex polynomial that is not sos-convex. Math. Program. 135(1-2): 275-292 (2012) - [c9]Amir Ali Ahmadi, Pablo A. Parrilo:
Joint spectral radius of rank one matrices and the maximum cycle mean problem. CDC 2012: 731-733 - [c8]Amir Ali Ahmadi, Raphaël M. Jungers, Pablo A. Parrilo, Mardavij Roozbehani:
When Is a Set of LMIs a Sufficient Condition for Stability? ROCOND 2012: 313-318 - [i6]Amir Ali Ahmadi, Raphaël M. Jungers, Pablo A. Parrilo, Mardavij Roozbehani:
When is a set of LMIs a sufficient condition for stability? CoRR abs/1201.3227 (2012) - 2011
- [c7]Amir Ali Ahmadi, Pablo A. Parrilo:
On higher order derivatives of Lyapunov functions. ACC 2011: 1313-1314 - [c6]Amir Ali Ahmadi, Pablo A. Parrilo:
Converse results on existence of sum of squares Lyapunov functions. CDC/ECC 2011: 6516-6521 - [c5]Amir Ali Ahmadi, Miroslav Krstic, Pablo A. Parrilo:
A globally asymptotically stable polynomial vector field with no polynomial Lyapunov function. CDC/ECC 2011: 7579-7580 - [c4]Amir Ali Ahmadi, Raphaël M. Jungers, Pablo A. Parrilo, Mardavij Roozbehani:
Analysis of the joint spectral radius via Lyapunov functions on path-complete graphs. HSCC 2011: 13-22 - [i3]Amir Ali Ahmadi, Raphaël M. Jungers, Pablo A. Parrilo, Mardavij Roozbehani:
Joint Spectral Radius and Path-Complete Graph Lyapunov Functions. CoRR abs/1111.3427 (2011) - 2010
- [c3]Amir Ali Ahmadi, Pablo A. Parrilo:
On the equivalence of algebraic conditions for convexity and quasiconvexity of polynomials. CDC 2010: 3343-3348 - [i1]Amir Ali Ahmadi, Alexander Olshevsky, Pablo A. Parrilo, John N. Tsitsiklis:
NP-hardness of Deciding Convexity of Quartic Polynomials and Related Problems. CoRR abs/1012.1908 (2010) - 2009
- [c2]Amir Ali Ahmadi, Pablo A. Parrilo:
A positive definite polynomial Hessian that does not factor. CDC 2009: 1195-1200 - 2008
- [c1]Amir Ali Ahmadi, Pablo A. Parrilo:
Non-monotonic Lyapunov functions for stability of discrete time nonlinear and switched systems. CDC 2008: 614-621
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