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Research Output

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2020

On Algebraic Proofs of Stability for Homogeneous Vector Fields

Ahmadi, A. A. & El Khadir, B., Jan 2020, In : IEEE Transactions on Automatic Control. 65, 1, p. 325-332 8 p., 8706528.

Research output: Contribution to journalArticle

On the complexity of detecting convexity over a box

Ahmadi, A. A. & Hall, G., Jul 1 2020, In : Mathematical Programming. 182, 1-2, p. 429-443 15 p.

Research output: Contribution to journalArticle

2019

On the complexity of testing attainment of the optimal value in nonlinear optimization

Ahmadi, A. A. & Zhang, J., Jan 1 2019, In : Mathematical Programming.

Research output: Contribution to journalArticle

1 Scopus citations
2 Scopus citations

Polynomial norms

Ahmadi, A. A. L. I., Klerk, E. D. E. & Hall, G., 2019, In : SIAM Journal on Optimization. 29, 1, p. 399-422 24 p.

Research output: Contribution to journalArticle

2018
1 Scopus citations

DC decomposition of nonconvex polynomials with algebraic techniques

Ahmadi, A. A. & Hall, G., May 1 2018, In : Mathematical Programming. 169, 1, p. 69-94 26 p.

Research output: Contribution to journalArticle

5 Scopus citations
2017

A Characterization of Lyapunov Inequalities for Stability of Switched Systems

Jungers, R. M., Ahmadi, A. A., Parrilo, P. A. & Roozbehani, M., Jun 1 2017, In : IEEE Transactions on Automatic Control. 62, 6, p. 3062-3067 6 p., 7858590.

Research output: Contribution to journalArticle

18 Scopus citations

Optimization over structured subsets of positive semidefinite matrices via column generation

Ahmadi, A. A., Dash, S. & Hall, G., May 1 2017, In : Discrete Optimization. 24, p. 129-151 23 p.

Research output: Contribution to journalArticle

5 Scopus citations

Sum of Squares Certificates for Stability of Planar, Homogeneous, and Switched Systems

Ahmadi, A. A. & Parrilo, P. A., Oct 1 2017, In : IEEE Transactions on Automatic Control. 62, 10, p. 5269-5274 6 p., 7803555.

Research output: Contribution to journalArticle

2 Scopus citations
2016

Lower bounds on complexity of Lyapunov functions for switched linear systems

Ahmadi, A. A. & Jungers, R. M., Aug 1 2016, In : Nonlinear Analysis: Hybrid Systems. 21, p. 118-129 12 p.

Research output: Contribution to journalArticle

3 Scopus citations

Some applications of polynomial optimization in operations research and real-time decision making

Ahmadi, A. A. & Majumdar, A., Apr 1 2016, In : Optimization Letters. 10, 4, p. 709-729 21 p.

Research output: Contribution to journalArticle

12 Scopus citations
2014

Joint spectral radius and path-complete graph Lyapunov functions

Ahmadi, A. A., Jungers, R. M., Parrilo, P. A. & Roozbehani, M., Mar 28 2014, In : SIAM Journal on Control and Optimization. 52, 1, p. 687-717 31 p.

Research output: Contribution to journalArticle

54 Scopus citations
2013

A complete characterization of the gap between convexity and sos-convexity

Ahmadi, A. A. & Parrilo, P. A., Aug 1 2013, In : SIAM Journal on Optimization. 23, 2, p. 811-833 23 p.

Research output: Contribution to journalArticle

35 Scopus citations

NP-hardness of deciding convexity of quartic polynomials and related problems

Ahmadi, A. A., Olshevsky, A., Parrilo, P. A. & Tsitsiklis, J. N., 2013, In : Mathematical Programming. 137, 1-2, p. 453-476 24 p.

Research output: Contribution to journalArticle

54 Scopus citations
2012

A convex polynomial that is not sos-convex

Ahmadi, A. A. & Parrilo, P. A., Oct 1 2012, In : Mathematical Programming. 135, 1-2, p. 275-292 18 p.

Research output: Contribution to journalArticle

31 Scopus citations
2006

Two-photon absorption for optical clock recovery in OTDM networks

Salem, R., Ahmadi, A. A., Tudury, G. E., Carter, G. M. & Murphy, T. E., Sep 1 2006, In : Journal of Lightwave Technology. 24, 9, p. 3353-3361 9 p.

Research output: Contribution to journalArticle

14 Scopus citations