Stephen Prajna
Computational Theory and Mathematics · 2002–2007
A researcher in the Science corpus: 8 papers; trusts 17 researchers and is trusted by 34 researchers here, as inferred from the citation graph.
Subfields
- Computational Theory and Mathematics — 21 citations into it; #1,510 of 12,182 by trust here, #2,489 by citations
- Numerical Analysis — 21 citations into it; #349 of 3,586 by trust here, #523 by citations
- Control and Systems Engineering — 20 citations into it; #541 of 8,257 by trust here, #1,518 by citations
- Statistics and Probability — 8 citations into it; #5,424 of 12,932 by trust here, #6,552 by citations
Whom Stephen Prajna trusts overall
Their strongest outbound trust, strongest first, inferred from their citations.
- Pablo A. Parrilo
- Antonis Papachristodoulou
- Christoph Helmberg
- Alongkrit Chutinan
- Bruce Reznick
- Jean B. Lasserre
- Iroon Polytechniou
- Bruce H. Krogh
- Claire Jennifer Tomlin
- Anders Rantzer
Who trusts Stephen Prajna overall
- Antonis Papachristodoulou
- Aaron D. Ames
- Jacob Steinhardt
- Zachary Jarvis-Wloszek
- Russ Tedrake
- Mung Chiang
- Ali Jadbabaie
- Matthias Althoff
- Aditi Raghunathan
- Rajeev Alur
Papers from Stephen Prajna's perspective
Ordered by how strongly the researchers Stephen Prajna trusts endorse each paper. Same corpus, a different order for every researcher.
- Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming
- Structured semidefinite programs and semialgebraic geometry methods in robustness and optimization
- Global Optimization with Polynomials and the Problem of Moments (SIAM Journal on Optimization)
- Semidefinite programming
- Semidefinite programming relaxations for semialgebraic problems
- Some concrete aspects of Hilbert's 17th Problem
- Squared Functional Systems and Optimization Problems
- Some NP-complete problems in quadratic and nonlinear programming
- GloptiPoly: global optimization over polynomials with Matlab and SeDuMi (Proceedings of the 41st IEEE Conference on Decision and Control, 2002.)
- Safety Verification of Hybrid Systems Using Barrier Certificates (International Conference on Hybrid Systems: Computation and Control)
Their papers
- Introducing SOSTOOLS: a general purpose sum of squares programming solver (2002) — 612 citations
- Safety Verification of Hybrid Systems Using Barrier Certificates (2004) — 751 citations
- A Framework for Worst-Case and Stochastic Safety Verification Using Barrier Certificates (2007) — 726 citations
- Analysis of Non-polynomial Systems using the Sum of Squares Decomposition (2005) — 194 citations
- A tutorial on sum of squares techniques for systems analysis (2005) — 296 citations
- Nonlinear control synthesis by sum of squares optimization: a Lyapunov-based approach (2004) — 488 citations
- Nonlinear control synthesis by convex optimization (2004) — 319 citations
- On the construction of Lyapunov functions using the sum of squares decomposition (2002) — 529 citations