Here's a partial list of publications. I'll post electronic versions, and a bibtex file soon...
Preprints (submitted)
 | P. A. Parrilo, B. Sturmfels, Minimizing polynomial functions. |
| P. A. Parrilo, Semidefinite programming relaxations for semialgebraic problems. Abstract, postscript, gzipped postscript. |
Journal papers
| T. Inanc, M. Sznaier, P. A. Parrilo, R. S. Sánchez Peña, Robust identification with mixed parametric/nonparametric models and time/frequency-domain experiments: Theory and an application, IEEE Transactions on Control Systems Technology, Vol. 9, No. 4, 2001. |
| P. A. Parrilo, S. Khatri, On Cone-Invariant Linear Matrix Inequalities, IEEE Transactions on Automatic Control, Vol. 45, No. 8, 2000. |
| P. A. Parrilo, R. S. Sánchez Peña, M. Sznaier, A parametric extension of mixed time/frequency robust identification, IEEE Transactions on Automatic Control, Vol. 44, No. 2, 1999. |
| P. A. Parrilo, M. Sznaier, R. S. Sánchez Peña, T. Inanc, Mixed time/frequency-domain based robust identification, Automatica, Vol. 34, No. 11, 1998. |
| P. A. Parrilo, R. S. Sánchez Peña, C. G. Galarza, L_1 Identification Applied to a Fluid Dynamics Problem, IEEE Transactions on Control Systems Technology, Vol. 4, No. 3, 1996. |
Conference papers
| P. A. Parrilo, On the Numerical Solution of LMIs derived from the KYP Lemma, Proceedings of the 38th Conference on Decision and Control, Phoenix, USA, 1999. |
| M. Sznaier, P. A. Parrilo, On the Gap between $\mu$ and its Upper Bound for Systems with Repeated Uncertainty Blocks, Proceedings of the 38th Conference on Decision and Control, Phoenix, USA, 1999. |
| M. Sznaier, T. Amishima, J. Tierno, P. A. Parrilo, A Convex Approach for Robust $\mathcal{H}_2$ Performance Analysis, Proceedings of the 38th Conference on Decision and Control, Phoenix, USA, 1999. |
| P. A. Parrilo, S. Lall, F. Paganini, G. C. Verghese, B. C. Lesieutre, J. E.
Marsden, Model Reduction for Analysis of Cascading Failures in Power Systems, Proceedings of the American Control Conference, San Diego, USA, 1999. |
| X. Zhu, S. Khatri, P. A. Parrilo, $\mu$ with Linear Cuts: Upper Bound Computation, Proceedings of the American Control Conference, San Diego, USA, 1999. |
| S. Khatri, P. A. Parrilo, Guaranteed Bounds for Probabilistic $\mu$, Proceedings of the 37th Conference on Decision and Control, Tampa, USA, 1998. |
PhD Thesis
| Structured Semidefinite Programs and Semialgebraic Geometry Methods in
Robustness and Optimization California Institute of Technology, May 2000. Abstract, postscript, gzipped postscript, pdf. |