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Research Output

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Conference contribution
2018

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., p. 453-462 10 p. (2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017; vol. 2018-January).

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

8 Scopus citations
2017

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, (Robotics: Science and Systems; vol. 13).

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

2 Scopus citations
2015

Robust-to-dynamics linear programming

Ahmadi, A. A. & Günluk, O., Feb 8 2015, 54rd IEEE Conference on Decision and Control,CDC 2015. Institute of Electrical and Electronics Engineers Inc., p. 5915-5919 5 p. 7403149. (Proceedings of the IEEE Conference on Decision and Control; vol. 54rd IEEE Conference on Decision and Control,CDC 2015).

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

1 Scopus citations
2014

On complexity of Lyapunov functions for switched linear systems

Ahmadi, A. A. & Jungers, R. M., 2014, 19th IFAC World Congress IFAC 2014, Proceedings. Boje, E. & Xia, X. (eds.). IFAC Secretariat, p. 5992-5997 6 p. (IFAC Proceedings Volumes (IFAC-PapersOnline); vol. 19).

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

4 Scopus citations
2013

Complexity of ten decision problems in continuous time dynamical systems

Ahmadi, A. A., Majumdar, A. & Tedrake, R., 2013, 2013 American Control Conference, ACC 2013. Institute of Electrical and Electronics Engineers Inc., p. 6376-6381 6 p. 6580838. (Proceedings of the American Control Conference).

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

7 Scopus citations

Control design along trajectories with sums of squares programming

Majumdar, A., Ahmadi, A. A. & Tedrake, R., Nov 14 2013, 2013 IEEE International Conference on Robotics and Automation, ICRA 2013. p. 4054-4061 8 p. 6631149. (Proceedings - IEEE International Conference on Robotics and Automation).

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

65 Scopus citations

Switched stability of nonlinear systems via SOS-convex Lyapunov functions and semidefinite programming

Ahmadi, A. A. & Jungers, R. M., Jan 1 2013, 2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013. Institute of Electrical and Electronics Engineers Inc., p. 727-732 6 p. 6759968. (Proceedings of the IEEE Conference on Decision and Control).

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

4 Scopus citations
2012

Feasibility checks and control laws for reconfigurations of spacecraft clusters

Moshtagh, N., Ahmadi, A. A. & Mesbahi, M., Jan 1 2012, 2012 American Control Conference, ACC 2012. Institute of Electrical and Electronics Engineers Inc., p. 961-966 6 p. 6315644. (Proceedings of the American Control Conference).

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

On the difficulty of deciding asymptotic stability of cubic homogeneous vector fields

Ahmadi, A. A., Nov 26 2012, 2012 American Control Conference, ACC 2012. p. 3334-3339 6 p. 6315687. (Proceedings of the American Control Conference).

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

11 Scopus citations

When is a set of LMIs a sufficient condition for stability

Ahmadi, A. A., Jungers, R. M., Parrilo, P. A. & Roozbehani, M., Sep 17 2012, ROCOND'12 - 7th IFAC Symposium on Robust Control Design. PART 1 ed. p. 313-318 6 p. (IFAC Proceedings Volumes (IFAC-PapersOnline); vol. 7, no. PART 1).

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

6 Scopus citations
2011

A globally asymptotically stable polynomial vector field with no polynomial Lyapunov function

Ahmadi, A. A., Krstic, M. & Parrilo, P. A., Dec 1 2011, 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011. p. 7579-7580 2 p. 6161499. (Proceedings of the IEEE Conference on Decision and Control).

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

36 Scopus citations

Analysis of the joint spectral radius via Lyapunov functions on path-complete graphs

Ahmadi, A. A., Jungers, R. M., Parrilo, P. A. & Roozbehani, M., May 20 2011, HSCC'11 - Proceedings of the 2011 ACM/SIGBED Hybrid Systems: Computation and Control. p. 13-22 10 p. (HSCC'11 - Proceedings of the 2011 ACM/SIGBED Hybrid Systems: Computation and Control).

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

26 Scopus citations

Converse results on existence of sum of squares Lyapunov functions

Ahmadi, A. A. & Parrilo, P. A., Dec 1 2011, 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011. p. 6516-6521 6 p. 6161493. (Proceedings of the IEEE Conference on Decision and Control).

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

22 Scopus citations

On higher order derivatives of Lyapunov functions

Ahmadi, A. A. & Parrilo, P. A., Sep 29 2011, Proceedings of the 2011 American Control Conference, ACC 2011. p. 1313-1314 2 p. 5991573. (Proceedings of the American Control Conference).

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

14 Scopus citations
2010

On the equivalence of algebraic conditions for convexity and quasiconvexity of polynomials

Ali Ahmadi, A. & Parrilo, P. A., Dec 1 2010, 2010 49th IEEE Conference on Decision and Control, CDC 2010. p. 3343-3348 6 p. 5717510. (Proceedings of the IEEE Conference on Decision and Control).

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

4 Scopus citations

Piecewise polynomial Lyapunov functions with guaranteed accuracy

Ahmadi, A. A., Jungers, R. M., Parrilo, P. & Roozbehani, M., Dec 1 2010, 2010 IEEE 26th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2010. 1 p. 5662189. (2010 IEEE 26th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2010).

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

2009

A positive definite polynomial Hessian that does not factor

Ahmadi, A. A. & Parrilo, P. A., Dec 1 2009, Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009. p. 1195-1200 6 p. 5400519. (Proceedings of the IEEE Conference on Decision and Control).

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

7 Scopus citations
2008

Non-monotonic Lyapunov functions for stability of discrete time nonlinear and switched systems

Ahmadi, A. A. & Parrilo, P. A., Dec 1 2008, Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008. p. 614-621 8 p. 4739402. (Proceedings of the IEEE Conference on Decision and Control).

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

76 Scopus citations
2006

High-speed broadband polarization-independent optical clock recovery in a silicon detector

Ahmadi, A. A., Salem, R. & Murphy, T. E., Dec 14 2006, Proceedings - Thirteenth International Symposium on Temporal Representation and Reasoning, TIME 2006. Vol. 2006. 1636694

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