Motion alphabet augmentation based on past experiences

Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05

Volumn 2005, Issue , 2005, Pages 108-113

  Mehta, Tejas R ^a   Delmotte, Florent ^a   Egerstedt, Magnus ^b  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

^b GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

LEARNING SYSTEMS; MODAL ANALYSIS; RANDOM PROCESSES; TREES (MATHEMATICS); VIRTUAL REALITY;

CONTROL PROGRAM; MULTI-MODAL CONTROL; RANDOMIZED TREES;

MOTION PLANNING;

EID: 33847187434     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2005.1582139     Document Type: Conference Paper

References (22)

1. T. A. Henzinger. The theory of hybrid automata. Proceedings of the 11th Annual Symposium on Logic in Computer Science (LICS), IEEE Computer Society Press, 1996, pp. 278-292.
2. D. Hristu-Varsakelis, M. Egerstedt, and P.S. Krishnaprasad. On The Structural Complexity of the Motion Description Language MDLe. IEEE Conference on Decision and Control, Dec. 2003.
3. M. Egerstedt. On the Specification Complexity of Linguistic Control Procedures. International Journal of Hybrid Systems, Vol. 2, No. 1-2, pp. 129-140, March & June, 2002.
4. G. J. Pappas. Bisimilar linear systems. Automatica, 39(12):2035-2047, December 2003.
5. T. A. Henzinger, P. W. Kopke, A. Puri, and P. Varaiya. What's decidable about hybrid automata? Journal of Computer and System Sciences 57:94-124, 1998.
6. A. Bicchi, A. Marigo, and B. Piccoli. On the reachability of quantized control systems. IEEE Transactions on Automatic Control, 4(47):546-563, April 2002.
7. A. Bicchi, A. Marigo, and B. Piccoli. Encoding steering control with symbols. IEEE International Conference on Decision and Control, pages 3343-3348, 2003.
8. E. Asarin, O. Bournez, T. Dang, O. Maler. Reachability Analysis of Piecewise-Linear Dynamical Systems Hybrid Systems: Computation and Control, 20-31 LNCS 1790, Springer, 2000
9. I. Mitchell and C. J. Tomlin. Overapproximating Reachable Sets by Hamilton-Jacobi Projections Journal of Scientific Computation, Volume 19, Number 1, pp. 323-346, December 2003.
10. A. Bhatia, and E. Frazzoli. Incremental Search Methods for Reachability Analysis of Continuous and Hybrid Systems. Hybrid Systems: Computation and Control. Springer-Verlag, 2004.
11. T. Mehta and M. Egerstedt. Learning Multi-Modal Control Programs. Hybrid Systems: Computation and Control, Springer-Verlag, March 2005.
12. P. Cheng, Z. Shen, and S. M. LaValle. Using randomization to find and optimize feasible trajectories for nonlinear systems. Proc. Annual Allerton Conference on Communications, Control, Computing, pages 926-935, 2000.
13. S. M. LaValle. From dynamic programming to RRTs: Algorithmic design of feasible trajectories. Control Problems in Robotics, pages 19-37. Springer-Verlag, 2002.
14. L. Armijo. Minimization of Functions Having Lipschitz Continuous First-Partial Derivatives. Pacific Journal of Mathematics, Vol. 16, ppm. 1-3, 1966.
15. G. Lafferriere, H. J. Sussmann. A Differential Geometric Approach to motion Planning. Nonholonomic Motion Planning, Z. Li and J.F. Canny, Eds, Kluwer Academic Publishers, pp 235-270, 1993
16. J. A. Bathurin. Lectures on Lie algebras, Akademie Verlag, Berlin, 1978.
17. H. J. Sussmann. Lie brackets and local controllabilty: a sufficient condition for scalar input systems. SIAM J. Control and Optimization, 21(5): 686-713, 1983.
18. R. C. Thompson. Lecture 10 : Part I - Convergence domains of the Campbell Baker Hausdorff formula, John Hopkins Lecture Notes, 1988.
19. W. Rossmann. Lie Groups: An Introduction Through Linear Groups, Oxford University Press, Chapter 1.3, 2002.
20. T. T. Georgiou. Relative Entrophy and the multi-variable multi-dimesional Moment Problem, submitted to IEEE Transaction on IT CLN 04-326. Revised Dec, 2004.
21. L.P. Kaebling, M.L. Littman, and A.W. Moore. Reinforcement learning: A survey. Journal Of Artificial Intelligence Research, 1996.
22. C.J.C.H. Watkins, and P. Dayan. Q-learning. Machine Learning 8(3/4):257-277, May 1992.