Analyzing and synthesizing hybrid control systems

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 1494, Issue , 1998, Pages 74-113

  Branicky, Michael S ^a  

^a Case Western Reserve University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEMS; CONTROL THEORY; DECISION MAKING;

CONTINUOUS VARIABLES; HYBRID CONTROL SYSTEMS; HYBRID STRUCTURE; LOGICAL DECISIONS; OPTIMAL HYBRID CONTROL; REAL-WORLD;

EMBEDDED SYSTEMS;

EID: 22444455050     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-65193-4_19     Document Type: Conference Paper

References (49)

1. Panos J. Antsaklis, James A. Stiver, and Michael D. Lemmon. Hybrid system modeling and autonomous control systems. In Grossman et al. [24], pages 366-392.
2. Karl J. Astrom. Course notes on nonlinear systems. Lund Institute of Technology, 1968.
3. Allen Back, John Guckenheimer, and Mark Myers. A dynamical simulation facility for hybrid systems. In Grossman et al. [24], pages 255-267.
4. Dimitur D. Bainov and Pavel S. Simeonov. Systems with Impulse Effect. Ellis Horwood, Chichester, England, 1989.
5. Alain Bensoussan and Jacques-Louis Lions. Impulse Control and Quasi- Variattonal Inequalities. Gauthier-Villars, Paris, 1984.
6. Dmitri P. Bertsekas. Dynamic Programming: Deterministic and Stochastic Models. Prentice Hall, Englewood Cliffs, NJ, 1987.
7. Michael S. Branicky. Topology of hybrid systems. In Proc. IEEE Conf. Decision and Control, pages 2309-2314, San Antonio, December 1993.
8. Michael S. Branicky. Analyzing continuous switching systems: Theory and examples. In Proc. American Control Conf., pages 3110-3114, Baltimore, June 1994.
9. Michael S. Branicky. Continuity of ODE solutions. Applied Mathematics Letters, 7 (5): 57-60, 1994.
10. Michael S. Branicky. Stability of switched and hybrid systems. In Proc. IEEE Conf. Decision and Control, pages 3498-3503, Lake Buena Vista, FL, December 1994.
11. Michael S. Branicky. Studies m Hybrid Systems: Modeling, Analysis, and Control. PhD thesis, Massachusetts Institute of Technology, Dept, of Electrical Engineering and Computer Science, June 1995.
12. Michael S. Branicky. Universal computation and other capabilities of hybrid and continuous dynamical systems. Theoretical Computer Science, 138(1):67-100, 1995.
13. Michael S. Branicky. Multiple Lyapunov functions and other analysis tools for switched and hybrid systems. IEEE Transactions on Automatic Control, April 1998. In press.
14. Michael S. Branicky, Vivek Borkar, and Sanjoy K. Mitter. A unified framework for hybrid control. Technical Report LIDS-P-2239, Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, April 1994. Extended abstract in [16], Summary and examples in [15].
15. Michael S. Branicky, Vivek S. Borkar, and Sanjoy Iv. Mitter. A unified framework for hybrid control. In Proc. IEEE Conf. Decision and Control, pages 4228-4234, Lake Buena Vista, FL, December 1994.
16. Michael S. Branicky, Vivek S. Borkar, and Sanjoy K. Mitter. A unified framework for hybrid control. In G. Cohen and J-P. Quadrat, editors, Proceedings 11th INRIA International Conference on the Analysis and Optimization of Systems, volume 199 of Lecture Notes in Control and Information Sciences, pages 352-358, New York, 1994. Springer-Verlag. Extended Abstract.
17. Michael S. Branicky, Vivek S. Borkar, and Sanjoy K. Mitter. A unified framework for hybird control: Model and optimal control theory. IEEE Transactions on Automatic Control, pages 31-45, January 1998.
18. Michael S. Branicky and Sven Erik Mattsson. Simulation of hybrid systems. In Panos J. Antsaklis, 'Volf Kohn, Anil Nerode, and Shankar Sastry, editors, HybridSystems IV, volume 1273 of Lecture Notes m Computer Science, pages 31-56. Springer-Verlag, New York, 1997.
19. Michael S. Branicky and Sanjoy K. Mitter. Algorithms for optimal hybrid control. In Proc. IEEE Conf. Decision and Control, New Orleans, December 1995. 2661-2666.
20. Roger W. Brockett. Hybrid models for motion control systems. In H. L. Trentel- man and J. C. Willems, editors, Essays in Control: Perspectives in the Theory and its Applications, pages 29-53. Birkhauser, Boston, 1993.
21. Chee-Seng Chow and John N. Tsitsiklis. An optimal one-way multigrid algorithm for discrete-time stochastic control. IEEE Trans. Automatic Control, 36(8):898-914, 1991.
22. O. L. V. Costa and M. H. A. Davis. Impulse control of piecewise deterministic processes. Math. Control Signals Syst., 2:187-206, 1989.
23. Akash Deshpande. Control of Hybrid Systems. PhD thesis, University of California at Berkeley, Dept, of Electrical Engineering and Computer Science, 1994.
24. Robert L. Grossman, Anil Nerode, Anders P. Ravn, and Hans Rischel, editors. Hybrid Systems, volume 736 of Lecture Notes in Computer Science. Springer- Verlag, New York, 1993.
25. David Harel. Statecharts: A visual formalism for complex systems. Science of Computer Programming, 8:231-274, 1987.
26. Morris W. Hirsch and Stephen Smale. Differential Equations, Dynamical Systems, and Linear Algebra. Academic Press, San Diego, 1974.
27. Yu-Chi Ho, editor. Discrete Event Dynamic Systems: Analyzing Complexity and Performance in the Modern World. IEEE Press, Piscataway, NJ, 1992.
28. Mikael Johansson and Anders Rantzer. Computation of piecewise quadratic Lyapunov functions for hybrid systems. Internal Report TFRT-7549, Department of Automatic Control, Lund Institute of Technology, June 1996. Submitted for journal publication.
29. David G. Luenberger. Introduction to Dynamic Systems: Theory, Models, and Applications. Wiley, New York, 1979.
30. Jorgen Malmborg, Bo Bernhardsson, and Karl J. Astrom. A stabilizing switching scheme for multi-controller systems. In Proc. IFAC World Congress, page to appear, San Francisco, July 1996.
31. George Meyer. Design of flight vehicle management systems. In Proc. IEEE Conf. Decision and Control, Lake Buena Vista, FL, December 1994. Plenary Lecture.
32. Sanjoy K Mitter and Shankar Sastry. 6.291; Special Topics: Intelligent Control. Course Notes, Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology, Fall 1992.
33. Anil Nerode and Wolf Kohn. Models for hybrid systems: Automata, topologies, stability. In Grossman et al. [24], pages 317-356.
34. Theodosios Pavlidis. Stability of systems described by differential equations containing impulses. IEEE Trans. Automatic Control, 12(l):43-45, 1967.
35. Philippos Peleties and Raymond DeCarlo. Asymptotic stability of ro-switched systems using Lyapunov-like functions. In Proc. American Control Conf., pages 1679-1684, Boston, June 1991.
36. Stefan Pettersson and Bengt Lennartson. Modelling, analysis, and synthesis of hybrid systems. In Preprints of the Reglermote, Lulea, Sweden, June 1996.
37. Marc H. Raibert. Legged Robots that Balance. MIT Press, Cambridge, MA, 1986.
38. Sheldon M. Ross. Applied Probability Models with Optimization Applications. Dover, New York, 1992.
39. Konstantin S. Sibirsky. Introduction to Topological Dynamics. Noordhoff International Publishing, Leyden, The Netherlands, 1975. Translated by Leo F. Boron.
40. Jean-Jacques E. Slotine and Weiping Li. Applied Nonlinear Control. Prentice-Hall, Englewood Cliffs, NJ, 1991.
41. Eduardo D. Sontag. Mathematical Control Theory: Deterministic Finite Dimensional Systems, volume 6 of Texts in Applied Mathematics. Springer-Verlag, New York, 1990.
42. Lucio Tavernini. Differential automata and their discrete simulators. Nonlinear Analysis, Theory, Methods, and Applications, 11(6):665-683, 1987.
43. Vadim I. Utkin. Variable structure systems with sliding modes. IEEE Trans. Automatic Control, 22(2):212-222, 1977.
44. Pravin P. Varaiya. Smart cars on smart roads: Problems of control. IEEE Trans. Automatic Control, 38(2):195-207, February 1993.
45. Mathukumalli Vidyasagar. Nonlinear Systems Analysis. Prentice-Hall, Englewood Cliffs, NJ, 1978. Also: 2nd Edition, 1993.
46. Jacques Leopold Willems. Stability Theory of Dynamical Systems. Nelson, London, 1970.
47. Hans S. Witsenhausen. A class of hybrid-state continuous-time dynamic systems. IEEE Trans. Automatic Control, 11(2):161-167, 1966.
48. Hui Ye, Anthony N. Michel, and Ling Hou. Stability theory for hybrid dynamical systems. In Proc. IEEE Conf. Decision and Control, pages 2679-2684, New Orleans, December 1995.
49. Laurence Chisolm Young. Lectures on the Calculus of Variations and Optimal Control Theory. Chelsea, New York, 2nd edition, 1980.