• 432 Citations
  • 12 h-Index
20062018
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  • 2 Similar Profiles
Lyapunov functions Engineering & Materials Science
Polynomials Engineering & Materials Science
Sum of squares Mathematics
Lyapunov Function Mathematics
Polynomial Mathematics
Convexity Mathematics
Joint Spectral Radius Mathematics
Semidefinite Programming Mathematics

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Research Output 2006 2018

Lyapunov functions
Polynomials

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.

Princeton University

Research output: Contribution to journalArticle

Convex Decomposition
Polynomials
Decomposition
Decompose
Polynomial

Improving efficiency and scalability of sum of squares optimization: Recent advances and limitations

Ahmadi, A. A., Hall, G., Papachristodoulou, A., Saunderson, J. & Zheng, Y., Jan 18 2018, 2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017. Institute of Electrical and Electronics Engineers Inc., Vol. 2018-January. p. 453-462 10 p.

Princeton University

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Sum of squares
Scalability
Sparsity
Optimization
Second-order Cone
9 Citations

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.

Princeton University

Research output: Contribution to journalArticle

Stability criteria

Geometry of 3D environments and sum of squares polynomials

Ahmadi, A. A., Hall, G., Makadia, A. & Sindhwani, V., Jan 1 2017, Robotics: Science and Systems XIII, RSS 2017. Srinivasa, S., Ayanian, N., Amato, N. & Kuindersma, S. (eds.). MIT Press Journals, Vol. 13.

Princeton University

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Computer vision
Robotics
Polynomials
Geometry
Experiments