Bisimilar control affine systems

Systems and Control Letters

Volumn 52, Issue 1, 2004, Pages 49-58

  Tabuada, Paulo ^a   Pappas, George J ^b  

^a University of Notre Dame   (United States)

^b UNIVERSITY OF PENNSYLVANIA   (United States)

Author keywords

Bisimilar control systems; Bisimulation relations; Controlled invariance; Symmetries

Indexed keywords

COMPUTATIONAL METHODS; CONTROL SYSTEM ANALYSIS; FEEDBACK; MATHEMATICAL MODELS; SET THEORY; THEOREM PROVING; VECTORS;

BISIMILAR CONTROL SYSTEMS; BISIMULATION RELATIONS; CONTROLLED INVARIANCE; SYMMETRIES;

NONLINEAR CONTROL SYSTEMS;

EID: 1842529968     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sysconle.2003.09.013     Document Type: Article

References (22)

1. Abraham R., Marsden J., Ratiu T. Manifolds, Tensor Analysis and Applications. Applied Mathematical Sciences. 1988;Springer, Berlin.
2. R. Abraham, J.E. Marsden, Foundations of Mechanics, Perseus Books, Cambridge, MA, 1994.
3. R.W. Brockett, Feedback invariants for nonlinear systems, Preprints of the Sixth IFAC Congress, Helsinki, 1978, pp. 1115-1120.
4. Grasse K.A. On controlled invariance for fully nonlinear control systems. Internat. J. Control. 56:1992;1121-1137.
5. Grizzle J.W., Marcus S.I. The structure of nonlinear control systems possessing symmetries. IEEE Trans. Automat. Control. 30(3):1985;248-258.
6. E. Haghverdi, P. Tabuada, G. Pappas, Bisimulation relations for dynamical and control systems, in: R. Blute, P. Selinger (Eds.), Electronic Notes in Theoretical Computer Science, Vol. 69, Elsevier, Amsterdam, 2003.
7. Hirschorn R. (A,B)-invariant distributions and disturbance decoupling of nonlinear systems. SIAM J. Control Optim. 19:1981;1-19.
8. L.R. Hunt, R. Su, G. Meyer, Design for multi-input nonlinear systems, in: R.W. Brocket, R.S. Millman, H.J. Sussmann (Eds.), Differential Geometric Control Theory, Birkhauser, Boston, 1983, pp. 268-298.
9. Isidori A., Krener A.J., Gori Giorgi C., Monaco S. Nonlinear decoupling via feedback. a differential geometrical approach IEEE Trans. Automat. Control. 26:1981;331-345.
10. Jakubczyk B., Respondek W. On linearization of control systems. Bull. Acad. Pol. Sci. Ser. Sci. Math. 28:1980;517-522.
11. Krener A.J. On the equivalence of control systems and linearization of nonlinear systems. SIAM J. Control Optim. 11:1973;670-676.
12. Milner R. Communication and Concurrency. 1989;Prentice-Hall, Englewood Cliffs, NJ.
13. Nijmeijer H. Controlled invariance for affine control systems. Internat. J. Control. 24:1981;825-833.
14. Nijmeijer H., van der Schaft A.J. Partial symmetries for nonlinear systems. Math. Systems Theory. 18(1):1985;79-96.
15. Nijmeijer H., van der Schaft A.J. Nonlinear Dynamical Control Systems. 1995;Springer, Berlin.
16. Pappas G.J. Bisimilar linear systems. Automatica. 39(12):2003;2035-2047.
17. G.J. Pappas, G. Lafferriere, Hierarchies of stabilizability preserving linear systems, Proceedings of the 40th IEEE Conference on Decision and Control, Orlando, FL, December 2001, pp. 2081-2086.
18. Pappas G.J., Lafferriere G., Sastry S. Hierarchically consistent control systems. IEEE Trans. Automat. Control. 45(6):2000;1144-1160.
19. Pappas G.J., Simic S. Consistent hierarchies of affine nonlinear systems. IEEE Trans. Automat. Control. 47(5):2002;745-756.
20. D.M.R. Park, Concurrency and Automata on Infinite Sequences, Lecture Notes in Computer Science, Vol. 104, Springer, Berlin, 1980.
21. P. Tabuada, G.J. Pappas, Quotients of fully nonlinear control systems, Preprint, available at www.nd.edu/~ptabuada .
22. P. Tabuada, G.J. Pappas, Hierarchical trajectory generation for a class of nonlinear systems, Proceedings of the 42nd IEEE Conference on Decision and Control, Hawai, December 2003.