Quantitative analysis for controllability of symmetric control systems

International Journal of Control

Volumn 73, Issue 3, 2000, Pages 254-264

  Tanaka, Reiko ^a   Murota, Kazuo ^b,c  

^a KEIO UNIVERSITY   (Japan)

^b KYOTO UNIVERSITY   (Japan)

^c UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROLLABILITY; LARGE SCALE SYSTEMS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA;

SYMMETRIC CONTROL SYSTEMS;

CONTROL SYSTEM ANALYSIS;

EID: 0034652071     PISSN: 00207179     EISSN: None     Source Type: Journal    
DOI: 10.1080/002071700219795     Document Type: Article

References (17)

1. Akers, S.B., and Krishnamurthy, B., 1987, On group graphs and their fault tolerance. IEEE Transactions on Computers, C-36, 885-888.
2. Grizzle, J.W., and Marcus, S.I., 1985, The structure of nonlinear control systems possessing symmetries. IEEE Transactions on Automatic Control, AC-30, 248-257.
3. Hazewinkel, M., and Martin, C., 1983, Symmetric linear systems: an application of algebraic systems theory. International Journal of Control, 37, 1371-1384.
4. Huisman, L.M., and Kundu, S., 1994, Highly reliable symmetic networks. IEEE Transactions on Parallel and Distributed Systems, 5, 94-97.
5. ∞ optimal control for symmetric linear systems. Japan Journal of Industrial and Applied Mathematics, 10, 97-107.
6. Karavay, M.F., 1996, Application of symmetry theory to the analysis and synthesis of fault-tolerant systems. Automation and Remote Control, 57, 899-910.
7. Lin, C.-T., 1974, Structural controllability. IEEE Transactions on Automatic Control, AC-19, 201-208.
8. Lunze, J., 1986, Dynamics of strongly coupled symmetric composite systems. International Journal of Control, 44, 1617-1640.
9. Miller, W., 1972, Symmetry groups and their applications (New York and London: Academic Press).
10. Nijmeijer, H., and van der Schaft, A.J., 1985, Partial symmetries for nonlinear systems. Mathematical Systems Theory, 18, 79-96.
11. van der Schaft, A., 1981, Symmetries and conservation laws for Hamiltonian systems with inputs and outputs: a generalization of Noether'S theorem. Systems and Control Letters, 1, 108-115.
12. Šiljak, D.D., 1980, Reliable control using multiple control systems. International Journal of Control, 31, 303-329.
13. Sundareshan, M.K., and Elbanna, R.M., 1991, Qualitative analysis and decentralized controller synthesis for a class of large-scale systems with symmetrically interconnected subsystems. Automatica, 27, 383-388.
14. Tanaka, R., and Murota, K., 1999, Fault-tolerance of control systems with dihedral group symmetry. Transactions of Society of Instrument and Control Engineers, 35, 806-813.
15. Tanaka, R., and Murota, K., 1998, Symmetric failures in symmetric control systems. Mathematical Engineering Technical Report, 98-12, University of Tokyo.
16. Vidyasagar, M., and Viswanadham, N., 1985, Reliable stabilization using a multi-controller configuration. Automatica, 21, 599-602.
17. Welsh, D.J.A., 1976, Matroid Theory (London: Academic Press).