Pre- and Post-Processing Sum-of-Squares Programs in Practice
By Johan Löfberg. IEEE Transactions on Automatic Control, 2009
367 citations recorded by the source corpus.
Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/481fe67fc419eaaca2e566b3fa38b8b3cab5e595
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Theory and Mathematics
- Jacob Steinhardt
- Ya-Chien Chang
- Nima Roohi
- Russ Tedrake
- Tiago J. M. Dezuo
- Alexandre Trofino
- Sicun Gao
In Control and Systems Engineering
- Sicun Gao
- Ya-Chien Chang
- Nima Roohi
- Russ Tedrake
- Tiago J. M. Dezuo
- Alexandre Trofino
- Jacob Steinhardt
In Numerical Analysis
- Ya-Chien Chang
- Nima Roohi
- Russ Tedrake
- Tiago J. M. Dezuo
- Alexandre Trofino
- Sicun Gao
- Jacob Steinhardt
Citations in the corpus
- Funnel libraries for real-time robust feedback motion planning (2016, neutral): “However, preprocessing of SOS programs and SDPs is an active area of inquiry (Lofberg, 2009; Permenter and Parrilo, 2014; Seiler et al., 2013) and solver technology is bound to improve as SDPs are more widely adopted in practice.”
- LMI stability conditions for uncertain rational nonlinear systems (2014, background): “The interest of SOS polynomials is that the problem of testing if a polynomial is SOS can be recast as an LMI problem [10,11,14,15].”
- Neural Lyapunov Control (2020, background): “We provide a detailed analysis of the performance comparison between the proposed methods and the LQR/SOS/SDP methods.”
- Finite-time regional verification of stochastic non-linear systems (2011, methodology): “The goal was to bound the probability of leaving the temperature region defined by [17, 22]× [16, 23]h−1.”