Working Papers

Moment-Sum-Of-Squares Approach For Motion Planning. -, 2020. In preparation. Abstract.

Publications

On sum of squares representation of convex forms and generalized Cauchy-Schwarz inequalities. Bachir El Khadir, 2019. Published in SIAM J. Appl. Algebra Geometry, 4(2), 377–400.. [Arxiv] [Video] [Sage Notebook] [Slides] [SIAM] Abstract.

Teleoperator Imitation with Continuous-time Safety. Bachir El Khadir, Jake Varley, Vikas Sindhwani, 2019. Published in RSS 2019. [Arxiv] [RSS] Abstract.

Learning Dynamical Systems with Side Information. Amir Ali Ahmadi, Bachir El Khadir, 2019. Published in Proceedings of Machine Learning Research vol 120:1–10, 2020. [Arxiv] [Poster] [Slides] Abstract.

Time-Varying Semidefinite Programs. Amir Ali Ahmadi, Bachir El Khadir, 2018. Submitted. Accepted with minor revision to Mathematics of Operations Research. [Arxiv] [Slides] Abstract.

A Globally Asymptotically Stable Polynomial Vector Field with Rational Coefficients and no Local Polynomial Lyapunov Function. Amir Ali Ahmadi, Bachir El Khadir, 2018. Published in Systems & Control Letters. [Arxiv] [ScienceDirect] Abstract.

On Algebraic Proofs of Stability for Homogeneous Vector Fields. Amir Ali Ahmadi, Bachir El Khadir, 2018. Published in Transactions on Automatic Control. [Arxiv] [Slides] [Poster] [IEEE] Abstract.