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Control barrier functions are a popular method of ensuring system safety, and these functions can be used to enforce invariance of a set under the dynamics of a system.
An algorithm for sums of squares of real polynomials
Powers, V. and Wörmann, T. (1998) · 1998
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Using sedumi 1.02, a matlab toolbox for optimization over symmetric cones
Sturm, J.F. (1999) · 1999
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"small-world" networks of mobile robots
Roumeliotis, S. and Mataric, M. (2000) · 2000
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A representation theorem for certain partially ordered commutative rings
Jacobi, T. (2001) · 2001
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Path planning and obstacle avoidance for autonomous mobile robots: A review
Kunchev, V., Jain, L., Ivancevic, V., and Finn, A. (2006) · 2006
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Predictive Control of Autonomous Ground Vehicles With Obstacle Avoidance on Slippery Roads , volume ASME 2010 Dynamic Systems and Control Conference, Volume 1 of Dynamic Systems and Control Conference
(2010) · 2010
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Real Algebraic Geometry
Bochnak, J., Coste, M., and Roy, M. (2013) · 2013
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Orbital mechanics for engineering students
Curtis, H. (2013) · 2013
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Safety issues in human-robot interactions
Vasic, M. and Billard, A. (2013) · 2013
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Control strategies for mobile robot with obstacle avoidance
Zohaib, M., Pasha, M., Riaz, R.A., Javaid, N., Ilahi, M., and Khan, R.D. (2013) · 2013
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Online verification of automated road vehicles using reachability analysis
Althoff, M. and Dolan, J.M. (2014) · 2014
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Optimization based controller design and implementation for the atlas robot in the darpa robotics challenge finals
Feng, S., Xinjilefu, X., Atkeson, C.G., and Kim, J. (2015) · 2015
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Robustness of control barrier functions for safety critical control**this work is partially supported by the national science foundation grants 1239055, 1239037 and 1239085
Xu, X., Tabuada, P., Grizzle, J.W., and Ames, A.D. (2015) · 2015
Cited alongside, same era.
Control barrier functions for systems with high relative degree
Xiao, W. and Belta, C. (2019) · 2019
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Safety bounds in human robot interaction: A survey
Zacharaki, A., Kostavelis, I., Gasteratos, A., and Dokas, I. (2020) · 2020
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Verification and synthesis of control barrier functions
Clark, A. (2021) · 2021
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Collision avoidance and liveness of multi-agent systems with cbf-based controllers
Jankovic, M. and Santillo, M. (2021) · 2021
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Certificates of Positivity for Real Polynomials
Powers, V. (2021) · 2021
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Adaptation for validation of a consolidated control barrier function based control synthesis
Black, M. and Panagou, D. (2022) · 2022
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Ahmadi, A.A. and Majumdar, A. (2017) · 2017
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Safety barrier certificates for collisions-free multirobot systems
Wang, L., Ames, A.D., and Egerstedt, M. (2017) · 2017
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Permissive barrier certificates for safe stabilization using sum-of-squares
Wang, L., Han, D., and Egerstedt, M. (2018) · 2018
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Control barrier functions: Theory and applications
Ames, A.D., Coogan, S., Egerstedt, M., Notomista, G., Sreenath, K., and Tabuada, P. (2019) · 2019
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Safety barrier functions for human-robot interaction with industrial manipulators
Landi, C.T., Ferraguti, F., Costi, S., Bonfè, M., and Secchi, C. (2019) · 2019
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A robust, multiple control barrier function framework for input constrained systems
Cortez, W.S., Tan, X., and Dimarogonas, D.V. (2022) · 2022
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On the feasibility and continuity of feedback controllers defined by multiple control barrier functions for constrained differential inclusions
Isaly, A., Ghanbarpour, M., Sanfelice, R.G., and Dixon, W.E. (2022) · 2022
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