High-order analysis of critical stability properties of linear time-delay systems

Proceedings of the American Control Conference

Volumn , Issue , 2007, Pages 4921-4926

  Fu, Peilin ^a   Chen, Jie ^a   Niculescu, Silviu Iulian ^b  

^a University of California Riverside   (United States)

^b CNRS   (France)

Author keywords

Asymptotic behavior; Asymptotic stability; Critical zeros; Lime delay; Matrix pencil

Indexed keywords

ASYMPTOTIC BEHAVIORS; ASYMPTOTIC PROPERTIES; COMMENSURATE DELAYS; CRITICAL STABILITY; FIRST-ORDER ANALYSIS; HALF PLANES; HIGH ORDER; IMAGINARY AXIS; LINEAR TIME-DELAY SYSTEMS; SECOND ORDERS; STABILITY PROPERTIES; TIME DELAY SYSTEMS;

ASYMPTOTIC STABILITY; DELAY CONTROL SYSTEMS; EIGENVALUES AND EIGENFUNCTIONS; LINEAR STABILITY ANALYSIS; STABILITY; SYSTEM STABILITY; TIME DELAY;

ASYMPTOTIC ANALYSIS;

EID: 46349112160     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ACC.2007.4282786     Document Type: Conference Paper

References (14)

1. F.G. Boese, Stability with respect to the delay: On the paper of K.L. Cooke and P. van den Driessche, J. Math. Anal.Appl., vol. 228, 1998, pp 293-321.
2. J. Chen, P. Fu and S.I. Niculescu, Asymptotic behavior of imaginary zeros of linear systems with commensurate delays, Proc. 45th IEEE Conf. Deci. Contr., San Diego, CA, 2006.
3. J. Chen, C. Gu and C.N. Nett, A new method for computing delay margins for stability of linear delay systems, Syst. & Contr. Lett., vol. 26, 1995, pp 101-117.
4. K.L. Cooke and Z. Grossman, Discrete delay, distributed delay and stability switches, J. Math. Anal. Appl., vol. 86, 1982, pp 592-627.
5. K.L. Cooke and P. Van den Driessche, On zeroes of some transcendental equations, Funkcialaj Ekvacioj, vol. 29, 1986, pp 77-90.
6. A.S. Deif, Advanced Matrix Theory for Scientists and Engineers, Abacus Press, England; 1982.
7. Freitas, P.: Dealy-induced instabilities in gyroscopic systems. SIAM J. Contr. Optimiz. 39 (2000) 196-207.
8. P. Fu, S.I. Niculescu, and J. Chen, "Stability of linear neutral time-delay systems: Exact conditions via matrix pencil solutions," IEEE Trans. Automat. Contr., vol. 51, no. 6, June 2006, pp. 1063- 1069.
9. K. Gu, V.L. Kharitnov and J. Chen, Stability of Time-Delay Systems, Birkhauser, Boston; 2003.
10. Gosiewski, A., and Olbrot, A.W.: The effects of feedback delays on the performance of multivariable linear control systems. IEEE Trans. Automat. Contr., AC-25 (1980) 729-735.
11. D. Hertz, E.I. Jury and E. Zeheb, Simplified analytical stability test for systems with commensurate time delays, IEE Proc. Contr. Theory & Appl., Pt. D, 131, 1984, pp 52-56.
12. T. Kato, Perturbation Theory for Linear Operations, Springer-Verlag, Berlin; 1995.
13. N. Olgac, and R. Sipahi, An exact method for the stability analysis of time-delayed LTI systems, IEEE Trans. Automat. Contr., vol. 47, 2002, pp 793-797.
14. K. Walton and J.E. Marshall, Direct Method for TDS Stability Analysis, IEE Proc. Contr. Theory & Appl., 134, Pt. D:2, 1987, pp 101-107.