Stabilizing a class of time delay systems using the Hermite-Biehler theorem

Linear Algebra and Its Applications

Volumn 369, Issue SUPP., 2003, Pages 203-216

  Oliveira, Vilma A ^a   Teixeira, Marcelo C M ^b   Cossi, L úcia ^c  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

^b SÃO PAULO STATE UNIVERSITY UNESP   (Brazil)

^c FEDERAL UNIVERSITY OF PARAÍBA   (Brazil)

Author keywords

Closed loop control; Delay systems; Interlacing; Quasipolynomials; Stability

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; FREQUENCIES; POLYNOMIALS; STABILITY; THEOREM PROVING;

TIME DELAY SYSTEMS;

LINEAR ALGEBRA;

EID: 0038721118     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(02)00721-8     Document Type: Article

References (10)

1. Bhattacharyya S.P., Chapellat H., Keel L.H. Robust Control: The Parametric Approach. 1995;Prentice-Hall, Englewood Cliffs, NJ.
2. A. Bülent Özguler, A. Aydn Koçan, An Analytic Determination of Stabilizing Feedback Gains, Report Nr. 321, Institutfür Dynamische Systeme, Universität Bremen, 1994.
3. Ho M.T., Datta A., Bhattacharyya S.P. Generalizations of the Hermite-Biehler theorem. Linear Algebra Appl. 302-303:1999;135-153.
4. Pontryagin L.S. On the zeros of some elementary transcendental functions, English translation. Amer. Math. Soc. 2:1955;95-110.
5. Dugard L., Verriest E.I. Stability and Control of Time-Delay Systems. 1998;Springer-Verlag, London.
6. Bellman R., Cooks K.L. Differential-Difference Equations. 1963;Academic Press Inc. London.
7. Kharitonov V.L., Zhabko A.P. Robust stability of time delay systems. IEEE Trans. Automat. Contr. 39(12):1994;2388-2397.
8. G.J. Silva, A. Datta, S.P. Bhattacharyya, Stabilization of Time Delay Systems, American Control Conference 2000, pp. 963-970.
9. M.T. Ho, A. Datta, S.P. Bhattacharyya, A Linear Programming Characterization of all Stabilizing PID Controllers, American Control Conference 1997, pp. 3922-3928.
10. Gantmacher F.R. The Theory of Matrices. 1959;Chelsea Publishing Company, New York.