Explained sum of squares

Control design along trajectories with sums of squares programming

Anirudha Majumdar, Amir Ali Ahmadi, Russ Tedrake

Citations: 142 • 2013

Moment-Sum-of-Squares Approach for Fast Risk Estimation in Uncertain Environments

Ashkan Jasour, Andreas Hofmann, Brian Williams

Citations: 23 • 2018

Safety Index Synthesis via Sum-of-Squares Programming

Weiye Zhao, Tairan He, Tianhao Wei, Simin Liu, Changliu Liu

Citations: 21 • 2023

Extent-compatible control barrier functions

Mohit Srinivasan, Matthew Abate, Gustav Nilsson, Samuel Coogan

Citations: 14 • 2021

Tracking control for lower limb rehabilitation robots based on polynomial nonlinear uncertain models

Ying Li, Jin Ke, Jianping Zeng

Citations: 13 • 2021

Modelling and control of flexible joint robot based on Takagi–Sugeno fuzzy approach and its stability analysis via sum of squares

M. Hosseinpour, Parisa Nikdel, Mohammad Ali Badamchizadeh, Mohammad Akbari

Citations: 12 • 2012

Polynomial fuzzy modeling and tracking control of wheeled mobile robots via sum of squares approach

Cheol-Joong Kim, Ji‐Wook Kwon, Dongkyoung Chwa

Citations: 8 • 2009

Provably Safe Tolerance Estimation for Robot Arms via Sum-of-Squares Programming

Weiye Zhao, Suqin He, Changliu Liu

Citations: 7 • 2022

Geometry-Aware Safety-Critical Local Reactive Controller for Robot Navigation in Unknown and Cluttered Environments

Yulin Li, Xindong Tang, Kai Chen, Chunxin Zheng, Haichao Liu, Jun Ma

Citations: 7 • 2024

Efficient Singularity-Free Workspace Approximations Using Sum-of-Squares Programming

Wankun Sirichotiyakul, Volkan Patoğlu, Aykut C. Satici

Citations: 5 • 2020

Least-squares Fit of Measured Points for Square Line-profiles

Joseph K. Davidson, Samir B. Savaliya, Jami J. Shah

Citations: 4 • 2013

Robust Control Synthesis and Verification for Wire-Borne Underactuated Brachiating Robots Using Sum-of-Squares Optimization

Siavash Farzan, Ai-Ping Hu, Michael Bick, Jonathan Rogers

Citations: 2 • 2020

Polynomial Fuzzy Control of an Underactuated Robot Using Sum of Squares

Gwo–Ruey Yu, Yu-Shan Chiu, Lun-Wei Huang

Citations: 2 • 2019

Backward Reachability for Polynomial Systems on A Finite Horizon

He Yin, Murat Arcak, Andrew Packard, Peter Seiler

Citations: 2 • 2019

Safety Index Synthesis via Sum-of-Squares Programming

Weiye Zhao, Tairan He, Tianhao Wei, Simin Liu, Changliu Liu

Citations: 2 • 2022