Strict positive realness for linear time-delay systems

International Journal of Systems Science

Volumn 34, Issue 1, 2003, Pages 1-9

  Lu, Guoping ^a,b   Ho, D W C ^b   Yeung, L F ^c  

^a NANTONG UNIVERSITY   (China)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^c NONE

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; CLOSED LOOP CONTROL SYSTEMS; OPTIMIZATION;

LINEAR TIME DELAY SYSTEMS;

LINEAR CONTROL SYSTEMS;

EID: 0142196587     PISSN: 00207721     EISSN: None     Source Type: Journal    
DOI: 10.1080/0020772031000115489     Document Type: Article

References (24)

1. ∞ control with pole placement: state-feedback case. Proceedings of the 1993 American Control Conference, pp. 2777-2779.
2. BOYD, S. P., GHAOUI, L. El, FERON, E., and BALAKRISHNAM, V., 1994, Linear Matrix Inequalities in System and Control Theory (Philadelphia: SIAM).
3. DUGARD, L., and VERRIEST, E. I., 1997, Stability and Control of Time-delay Systems (London: Springer).
4. GAHINET, P., NEMIRROVISKI, A., Laud A., and CHILALI, M., 1995, The LMI Control Toolbox (Mathworks Inc: Natick, MA, USA).
5. HADDAD, W., and BERNSTEIN, D., 1991, Robust stabilization with positive real uncertainty: beyond the small gain theorem. Systems Control Letters, 17, 191-208.
6. HALE, J., and LUNEL, S. M. V., 1991, Introduction to Functional Differential Equations (New York: Springer).
7. HUANG, C. H., IOANNOU, P. A., MAROULAS, J., and SAFONOV, M. G., 1999, Design of strictly positive real systems using constant output feedback. IEEE Transactions on Automatic Control, 44, 569-573.
8. IOANNOU, P. A., and TAO, G., 1987, Frequency domain conditions for strictly positive real functions. IEEE Transactions on Automatic control, 32, 53-54.
9. ISIDORI, A., 1999, Nonlinear Control Systems II (Berlin: Springer).
10. ∞-output feedback controller design for linear systems with time-varying delayed state. IEEE Transactions on Automatic Control, 43, 971-974.
11. JOSHI, S. M., and GUPTA, S., 1996, On a class of Marginally stable positive-real systems. IEEE Transactions on Automatic Control, 41, 152-155.
12. KAMEN, E. W., 1982, Linear systems with commensurate time delays: stability and stabilization independent of delay. IEEE Transactions on Automatic Control, 27, 367-375.
13. LEAL, R. L., and JOSHI, S. M., 1990, Strictly positive real transfer functions revisited. IEEE Transactions on Automatic control, 35, 1243-1245.
14. ∞ controllers for state delayed systems. IEEE Transactions on Automatic Control, 39, 784-788.
15. LUO, J. S., and VAN DEN SOSCH, P. P. J., 1997, Independent of delay stability criteria for uncertain linear state space models. Automatica, 33, 171-179.
16. NICULESCU, S.-I., and LOZANO, R., 2000, On the passivity of linear delay systems. Proceedings of the 2000 American Control Conference, Chicago, 28-30 June.
17. NICULESCU, S.-I., and LOZANO, R., 2001, On the passivity of linear delay systems. IEEE Transactions on Automatic Control, 46, 460-464.
18. SAFONOV, M. G., JONCKHEERE, E. A., VERMA, M., and LIMEBEER, D. J. N., 1987, Synthesis of positive real multivariable feedback systems. International Journal of Contr., 45, 817-842.
19. SHAKED, U., YAESH, I., and DE SOUZA, C. E., 1998, Bounded real criteria for linear time-delay systems. IEEE Transactions on Automatic Control, 43, 1016-1022.
20. SUN, W., KHARGONEKAR, P. P., and SHIM, D., 1994, Solution to the positive real control problem for linear time-invariant systems. IEEE Transactions on Automatic control, 39, 2034-2046.
21. TAO, G., and IOANNOU, P. A., 1988, Strictly positive real matrices and the Lefscheltz-Kalman-Yakubovich lemma. IEEE Transactions on Automatic control, 33, 1183-1185.
22. TAYLOR, J. H., 1974, Strictly positive real functions and Lefschetz-Kalman-Yacubovich (LKY) lemma. IEEE Transactions on Circuits and Systems, 21, 310-311.
23. TURAN, L., SAFONOV, M. G., and HUANG, C. H., 1997, Synthesis of positive real feedback systems; a simple derivation via Parrott's theorem. IEEE Transactions on Automatic control, 42, 1154-1157.
24. WANG, Q., WEISS, H., and SPEYER, J. L., 1994, System characterization of positive real conditions. IEEE Transactions on Automatic control, 39, 540-544.