Sufficient conditions for strong structural controllability of uncertain linear time-varying systems

Proceedings of the American Control Conference

Volumn , Issue , 2013, Pages 5875-5880

  Hartung, Christoph ^a   Reissig, Gunther ^a   Svaricek, Ferdinand ^a  

^a BUNDESWEHR UNIVERSITY MUNICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROLLABILITY; INVARIANCE; LINEAR CONTROL SYSTEMS; LINEAR SYSTEMS; MATRIX ALGEBRA;

ANALYTIC FUNCTIONS; LINEAR TIME INVARIANT SYSTEMS; LINEAR TIME VARYING; LINEAR TIME-VARYING SYSTEMS; SPECIFIC CLASS; STRUCTURAL CONTROLLABILITY; SYSTEM MATRICES; TIME INVARIANT SYSTEMS;

TIME VARYING CONTROL SYSTEMS;

EID: 84883511783     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/acc.2013.6580759     Document Type: Conference Paper

References (16)

1. E. D. Sontag, Mathematical Control Theory: Deterministic Finite Dimensional Systems. New York: Springer, 1998.
2. C.-T. Lin, "Structural controllability, " IEEE Transactions on Automatic Control, vol. 19, no. 3, pp. 201-208, 1974.
3. H. Mayeda and T. Yamada, "Strong structural controllability, " SIAM J. Control Optimiz., vol. 17, no. 1, pp. 123-138, 1979.
4. K. J. Reinschke, Multivariable Control-A Graph-theoretic Approach. Berlin: Springer, 1988.
5. K. J. Reinschke, F. Svaricek, and H.-D. Wend, "On strong structural controllability of linear systems, " in Proc. of the 31th IEEE Conference on Decision and Control, Tucson, Arizona, USA, 1992, pp. 203-208.
6. G. Reißig and U. Feldmann, "Computing the generic index of the circuit equations of linear active networks, " in Proc. of the IEEE Inter-national Symposium on Circuits and Systems, ISCAS'96, Connecting the World, vol. 3, 1996, pp. 190-193.
7. -, "A simple and general method for detecting structural inconsistencies in large electrical networks, " IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, vol. 50, no. 11, pp. 1482-1485, 2003.
8. G. Reißig, "On the maximum rank of toeplitz block matrices of blocks of a given pattern, " Proc. of the 16th Int. Symp. on Math. Th. of Networks and Systems (MTNS), Leuven, Belgium, 2004.
9. J. C. Jarczyk, F. Svaricek, and B. Alt, "Strong structural controllability of linear systems revisited, " in Proc. of the 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC), Orlando, Florida, USA, 2011, pp. 1213-1218.
10. C. Hartung, G. Reissig, and F. Svaricek, "Characterization of strong structural controllability of uncertain linear time-varying discrete-time systems, " in Proc. of the 51st IEEE Conference on Decision and Control, Maui, Hawaii, USA, 2012, pp. 2189-2194.
11. T. Tsujino, T. Fujii, and K. Wei, "On the connection between controllability and stabilizability of linear systems with structural uncertain parameters, " Automatica, vol. 29, no. 1, pp. 7-12, 1993.
12. T. Hashimoto and T. Amemiya, "Controllability and observability of linear time-invariant uncertain systems irrespective of bounds of uncertain parameters, " IEEE Transactions on Automatic Control, vol. 56, pp. 1807-1817, 2011.
13. L. Silverman and H. Meadows, "Controllability and observability in time-variable linear systems, " SIAM J. on Control, vol. 5, pp. 64-73, 1967.
14. H. D'Angelo, Linear Time-varying Systems: Analysis and Synthesis. Boston: Allyn and Bacon, 1970.
15. E. Freund, Zeitvariable Mehrgrößensysteme. Berlin: Springer, 1971.
16. S. Campbell, N. Nichols, and W. Terrell, "Duality, observability, and controllability for linear time-varying descriptor systems, " Circuits, systems, and signal processing, vol. 10, no. 4, pp. 455-470, 1991.