An eigenvalue based approach for the stabilization of linear time-delay systems of neutral type

Automatica

Volumn 41, Issue 6, 2005, Pages 991-998

  Michiels, Wim ^a   Vyhlídal, Tomáš ^b  

^a UNIVERSITY OF LEUVEN   (Belgium)

^b CZECH TECHNICAL UNIVERSITY IN PRAGUE   (Czech Republic)

Author keywords

Neutral type systems; Stability; Time delay systems

Indexed keywords

ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; FEEDBACK CONTROL; LINEAR CONTROL SYSTEMS; MATHEMATICAL TRANSFORMATIONS; PARAMETER ESTIMATION; PERTURBATION TECHNIQUES;

CONTINUOUS POLE PLACEMENT METHOD; NEUTRAL TYPE SYSTEMS; PARTIAL ELEMENT EQUIVALENT CIRCUITS (PEEC); TIME-DELAY SYSTEMS;

DELAY CIRCUITS;

EID: 17644375826     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2004.11.032     Document Type: Article

References (24)

1. A. Bellen, N. Guglielmi, and A.E. Ruehli Methods for linear systems of circuit delay differential equations of neutral type IEEE Transactions on Circuits and Systems I 76 1 1999 212 215
2. E. Emre, and P.P. Khargonekar Regulation of split linear systems over rings Coefficient assignment and observers IEEE Transactions on Automatic Control 27 1 1982 104 113
3. K. Engelborghs, M. Dambrine, and D. Roose Limitations of a class of stabilizing methods for delay equations IEEE Transactions on Automatic Control 46 2 2001 336 339
4. K. Engelborghs, and D. Roose Bifurcation analysis of periodic solutions of neutral functional differential equations A case study International Journal of Bifurcation and Chaos 8 10 1998 1889 1905
5. J.K. Hale Effects of delays on dynamics A. Granas M. Frigon G. Sabidussi Topological methods in differential equations and inclusions 1995 Kluwer Academic Publishers Dordrecht 191 238
6. Hale, J. K., & Verduyn Lunel, S. M. (1993). Introduction to functional differential equations, Applied Mathematical Sciences, Vol. 99. New York: Springer.
7. J.K. Hale, and S.M. Verduyn Lunel Strong stabilization of neutral functional differential equations IMA Journal of Mathematical Control and Information 19 2002 5 23
8. J.K. Hale, and S.M. Verduyn Lunel Effects of small delays on stability and control H. Bart I. Gohberg A.C.M. Ran Operator theory and analysis 2002 Birkäuser London 275 301
9. J.K. Hale, and S.M. Verduyn Lunel Stability and control of feedback systems with time delays International Journal of Systems Science 34 8-9 2003 497 504
10. D. Henry Linear autonomous neutral functional differential equations Journal of Differential Equations 15 1974 106 128
11. V.B. Kolmanovskii, and V.R. Nosov Stability of functional differential equations 1986 Academic Press London
12. W.-S. Lu, E. Lee, and S. Zak On the stabilization of linear neutral delay-difference systems IEEE Transactions on Automatic Control 31 1 1986 65 67
13. T. Luzyanina, and D. Roose Equations with distributed delays Bifurcation analysis using computational tools for discrete delay equations Functional Differential Equations 11 1-2 2004 87 92
14. W. Michiels, K. Engelborghs, D. Roose, and D. Dochain Sensitivity to infinitesimal delays in neutral equations SIAM Journal of Control and Optimization 40 4 2002 1134 1158
15. W. Michiels, K. Engelborghs, P. Vansevenant, and D. Roose Continuous pole placement method for delay equations Automatica 38 5 2002 747 761
16. A.S. Morse Ring models for delay differential equations Automatica 12 5 1976 529 531
17. Murray, R. M., Jacobson, C. A., Casas, R., Khibnik, A. I., Johnson Jr., C. R., Bitmead, R., Peracchio, A. A., & Proscia, W. M. (1998). System identification for limit cycling systems: A case study for combustion instabilities. In Proceedings of the 1998 American control conference (pp. 2004-2008).
18. S.-I. Niculescu, and B. Brogliato Fore measurements time-delays and contact instability phenomenon European Journal of Control 5 1999 279 289
19. L. Pandolfi Stabilization of neutral functional differential equations Journal of Optimization Theory and Applications 20 1976 191 204
20. O. Sename, J.-F. Lafay, and R. Rabah Controllability indices of linear systems with delays Kybernetika 6 1995 559 580
21. Vyhlídal, T., & Zítek, P. (2003). Quasipolynomial mapping based rootfinder for analysis of time delay systems. In 4th IFAC workshop on time delay systems, Rocquencourt, France (pp. 146-151).
22. K. Watanabe Finite spectrum assignment and observer for multivariable systems with commensurate delays IEEE Transactions on Automatic Control 31 6 1995 543 550
23. Zítek, P., & Vyhlídal, T. (2000). State feedback control of time delay system: Conformal mapping aided design. In 2nd IFAC workshop on linear time delay systems, Ancona, Italy (pp. 146-151).
24. Zítek, P., & Vyhlídal, T. (2002). Dominant eigenvalue placement for time delay systems. In 5th Portuguese conference on automatic control, Aveiro (pp. 605-610).