D-stability problem of discrete singularly perturbed systems

International Journal of Systems Science

Volumn 34, Issue 3, 2003, Pages 227-236

  Hsiao, Feng Hsiag ^a   Hwang, Jiing Dong ^b   Pan, Shing Tai ^c  

^a NATIONAL UNITED UNIVERSITY   (Taiwan)

^b JINWEN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Taiwan)

^c SHU TE UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; PERTURBATION TECHNIQUES; SYSTEM STABILITY;

DISCRETE SINGULARLY PERTURBED SYSTEMS;

DISCRETE TIME CONTROL SYSTEMS;

EID: 0142186083     PISSN: 00207721     EISSN: None     Source Type: Journal    
DOI: 10.1080/00207720310000071802     Document Type: Article

References (19)

1. CHEN, B. S., and LIN, C. L., 1990, On the stability bounds of singularly perturbed systems. IEEE Transactions on Automatic Control, 35, 1265-1270.
2. CHOU, J. H., and CHEN. B. S., 1990, new approach for the stability analysis of interval matrices. Control-Theory and Advanced Technology, 6, 725-730.
3. FENG, W., 1988, Characterization and computation for the bound ε* in linear time-invariant singularity perturbed systems. Systems and Control letters, 11, 195-202.
4. HSIAO, F. H., and HWANG, J. D., 1996, Stabilization of nonlinear singularity perturbed multiple time-delay systems by dither. ASME Journal of Dynamic Systems, measurement and Control, 118, 176-181.
5. IKEDA, M., and ASHIDA, T., 1979, Stabilization of linear systems with time-varying delay. IEEE Transactions on Automatic Control, 24, 369-370.
6. KANDO, H., and IWAZUMI, T., 1983, Sub-optimal control of discrete regulator problems via time-scale decomposition. International Journal of Control, 37, 1323-1347.
7. KANDO, H., and IWAZUMI, T., 1984, Stabilizing feedback controllers for singularly perturbed discrete systems. IEEE Transactions on Systems, Man and Cybernetics, SMC-14, 903-911.
8. KLIMUSCHCHEV, A. I., and KRASOVSKII, N. N., 1962, Uniform asymptotic stability of systems of differential equations with small parameter in the derivative terms. Journal of Applied Mathematics and mechanics, 35, 1011-1025.
9. KOKOTOVIC, P. V., KHALIL, H. K., and O'REILLY, J., 1986, Singular Perturbation Methods in Control: Analysis and Design (New York: Academic Press).
10. KOKOTOVIC, P. V., O'MALLEY, JR. R. E., and SANNUTI, P., 1976, Singular perturbations and order reduction in control theory-an overview. Automatica, 12, 123-132.
11. LEE, S. H., and LEE, T. T., 1987, Optimal pole assignment for a discrete linear regulator with constant disturbances. International Journal of Control, 45 161-168.
12. LIN, C. L., and CHEN, B. S., 1992, On the design of stabilizing controllers for singularly perturbed systems. IEEE Transactions on Automatic Control. 37, 1828-1834.
13. MAHOUD, M. S., 1982, Order reduction and control of discrete systems. IEE Proceedings Part D, 129, 129-135.
14. MORI, T., 1985, Criteria for asymptotic stability of linear time delay systems. IEEE Transactions on Automatic Control, 30, 159-161.
15. O'MALLEY, JR., R. E., 1972, The singularly perturbed linear state regulator problem. SIAM Journal on Control, 10, 399-413.
16. O'MALLEY, JR, R. E., 1974, Boundary layer methods for certain nonlinear singularly perturbed optimal control problems. Journal of Mathematical Analysis and Applications, 45, 468-484.
17. SAKSENA. V. R., O'REILLY, J., and KOKOTOVIC, P. V., 1984, Singular perturbation and time scale methods in control theory-survey 1976-1983. Automatica, 20, 273-293.
18. TRINH, H., and ALDEEN, M., 1995, Robust stability of singularly perturbed discrete-delay systems. IEEE transactions on Automatic Control, 40, 1620-1623.
19. WANG, W. J., and WANG, R. J., 1995, New stability criterion for linear time-delay systems. Control-Theory and Advanced Technology, 10, 1213-1222.