Hamilton-Jacobi formulation for reach-avoid problems with an application to air traffic management
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[1] G. M.,et al. Partial Differential Equations I , 2023, Applied Mathematical Sciences.
[2] P. Souganidis,et al. Differential Games and Representation Formulas for Solutions of Hamilton-Jacobi-Isaacs Equations. , 1983 .
[3] J. Sethian,et al. Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations , 1988 .
[4] E. Barron,et al. The Bellman equation for minimizing the maximum cost , 1989 .
[5] Jean-Pierre Aubin,et al. Viability theory , 1991 .
[6] P. Cardaliaguet. A differential game with two players and one target , 1994 .
[7] George J. Pappas,et al. Hybrid control in air traffic management systems , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.
[8] J. Sethian. Level set methods : evolving interfaces in geometry, fluid mechanics, computer vision, and materials science , 1996 .
[9] S. Shankar Sastry,et al. Conflict resolution for air traffic management: a study in multiagent hybrid systems , 1998, IEEE Trans. Autom. Control..
[10] S. Shankar Sastry,et al. Aerodynamic envelope protection using hybrid control , 1998, Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207).
[11] P. Saint-Pierre,et al. Set-Valued Numerical Analysis for Optimal Control and Differential Games , 1999 .
[12] Tryphon T. Georgiou,et al. Worst case analysis of nonlinear systems , 1999, IEEE Trans. Autom. Control..
[13] S. Sastry. Nonlinear Systems: Analysis, Stability, and Control , 1999 .
[14] John Lygeros,et al. Controllers for reachability specifications for hybrid systems , 1999, Autom..
[15] Ian M. Mitchell,et al. Level Set Methods for Computation in Hybrid Systems , 2000, HSCC.
[16] J. Lygeros,et al. A game theoretic approach to controller design for hybrid systems , 2000, Proceedings of the IEEE.
[17] Marc Quincampoix,et al. Pursuit Differential Games with State Constraints , 2000, SIAM J. Control. Optim..
[18] Alexandre M. Bayen,et al. Validating a Hamilton-Jacobi Approximation to Hybrid System Reachable Sets , 2001, HSCC.
[19] Pravin Varaiya,et al. Optimization Methods for Target Problems of Control , 2002 .
[20] John Lygeros,et al. On reachability and minimum cost optimal control , 2004, Autom..
[21] Pravin Varaiya,et al. Ellipsoidal Techniques for Reachability Under State Constraints , 2006, SIAM J. Control. Optim..
[22] Yan Gao,et al. On the Reachability Problem for Uncertain Hybrid Systems , 2007, IEEE Transactions on Automatic Control.
[23] John Lygeros,et al. A Stochastic Hybrid Model for Air Traffic Management Processes , 2007 .
[24] John Lygeros,et al. Air traffic management with target windows: An approach using reachability , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.
[25] Hasnaa Zidani,et al. Reachability and Minimal Times for State Constrained Nonlinear Problems without Any Controllability Assumption , 2010, SIAM J. Control. Optim..
[26] John Lygeros,et al. Hamilton–Jacobi Formulation for Reach–Avoid Differential Games , 2009, IEEE Transactions on Automatic Control.