Homogenization of Metric Hamilton-Jacobi Equations. - Adam M. Oberman; Ryo Takei; Alexander Vladimirsky (Multiscale Model. Simul., 2009)

A practical path-planning algorithm for a simple car: a Hamilton-Jacobi approach. - Ryo Takei; Richard Tsai 001; Haochong Shen; Yanina Landa (ACC, 2010)

A general, open-loop formulation for reach-avoid games. - Zhengyuan Zhou; Ryo Takei; Haomiao Huang; Claire J. Tomlin (CDC, 2012)

Time-optimal multi-stage motion planning with guaranteed collision avoidance via an open-loop game formulation. - Ryo Takei; Haomiao Huang; Jerry Ding; Claire J. Tomlin (ICRA, 2012)

Optimal Trajectories of Curvature Constrained Motion in the Hamilton-Jacobi Formulation. - Ryo Takei; Richard Tsai 001 (J. Sci. Comput., 2013)

Optimal Control with Budget Constraints and Resets. - Ryo Takei; Weiyan Chen; Zachary Clawson; Slav Kirov; Alexander Vladimirsky (SIAM J. Control. Optim., 2015)

Efficient path planning algorithms in reach-avoid problems. - Zhengyuan Zhou; Jerry Ding; Haomiao Huang; Ryo Takei; Claire J. Tomlin (Autom., 2018)