| Title:
|
New bounds for robust stability of continuous and discrete-time systems under parametric uncertainty (English) |
| Author:
|
Konstantopoulos, Ioannis K. |
| Author:
|
Antsaklis, Panos J. |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
31 |
| Issue:
|
6 |
| Year:
|
1995 |
| Pages:
|
623-636 |
| . |
| Category:
|
math |
| . |
| MSC:
|
93C41 |
| MSC:
|
93D09 |
| idZBL:
|
Zbl 0872.93065 |
| idMR:
|
MR1374150 |
| . |
| Date available:
|
2009-09-24T18:59:23Z |
| Last updated:
|
2012-06-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125279 |
| . |
| Reference:
|
[1] B. R. Barmish: New Tools for Robustness of Linear Systems.Macmillan Publishing Company, New York 1994. Zbl 1094.93517 |
| Reference:
|
[2] D. S. Bernstein, W. M. Haddad: Robust stability and performance analysis for linear dynamic systems.IEEE Trans. Automat. Control 34 (1989), 7, 751-758. Zbl 0689.93020, MR 1000670 |
| Reference:
|
[3] C.E. de Souza M. Fu, L. Xie: $H_\infty$ analysis and synthesis of discrete-time systems with time-varying uncertainty.IEEE Trans. Automat. Control 38 (1993), 3, 459-462. MR 1214251 |
| Reference:
|
[4] P. Dorato R. Tempo, G. Muscato: Bibliography on robust control.Automatica 25 (1993), 1, 201-213. MR 1200549 |
| Reference:
|
[5] M. Fu L. Xie, C. E. de Souza: $H_\infty$ control for linear systems with time-varying parameter uncertainty.In: Control of Uncertain Dynamic Systems (S. P. Bhattacharyya and L. IT Keel, eds.), CRC Press, Boca Raton, FL 1991, pp. 63-75. |
| Reference:
|
[6] Z. Gao, P. J. Antsaklis: Explicit asymmetric bounds for robust stability of continuous and discrete-time systems.IEEE Trans. Automat. Control 55 (1993), 2, 332-335. Zbl 0774.93060, MR 1206825 |
| Reference:
|
[7] X. Y. Gu, W. H. Chen: Robust stability analysis for state-space model of discrete-time systems.In: Proc. of 1991 Amer. Contr. Conf., Boston, MA 1991, pp. 890-891. |
| Reference:
|
[8] W. M. Haddad H.-H. Huang, and D. S. Bernstein: Robust stability and performance via fixed-order dynamic compensation: the discrete-time case.In: Proc. of 1992 Amer. Contr. Conf., Chicago, IL 1992, pp. 66-67. MR 1224318 |
| Reference:
|
[9] L. H. Keel S. P. Bhattacharyya, J. W. Howze: Robust control with structured perturbations.IEEE Trans. Automat. Control 55 (1988), 1, 68-78. MR 0920931 |
| Reference:
|
[10] S. R. Kolla R. K. Yedavalli, J. B. Farison: Robust stability bounds on time-varying perturbations for state-space models of linear discrete-time systems.Internat. J. Control 50 (1989), 1, 151-159. MR 1014779 |
| Reference:
|
[11] I. K. Konstantopoulos, P. J. Antsaklis: Robust Stability of Linear Continuous and Discrete-time Systems under Parametric Uncertainty.Research Report No. ISIS-94-006, ISIS Group at the University of Notre Dame 1994. |
| Reference:
|
[12] I. K. Konstantopoulos, P. J. Antsaklis: Robust stabilization of linear continuous systems under parameter uncertainty in all state-space matrices.In: Proc. of 2nd IEEE Mediterranean Symp. on New Directions in Contr. and Automation, Chania, Crete, Greece 1994, pp. 490-497. |
| Reference:
|
[13] I. K. Konstantopoulos, P. J. Antsaklis: Design of Output Feedback Controllers for Robust Stability and Optimal Performance of Discrete-time Systems.Research Report No. ISIS-94-009, ISIS Group at the University of Notre Dame 1994. |
| Reference:
|
[14] H. A. Latchman, J. A. Letra: On the computation of allowable bounds for parametric uncertainty.In: Proc. of 1991 Amer. Contr. Conf., Boston, MA 1991, pp. 867-868. |
| Reference:
|
[15] J. Liu, M.A. Zhody: Performance constrainted stabilization problems of system with uncertainties and perturbations.In: Proc. of 1991 Amer. Contr. Conf., Boston, MA 1991, pp. 3142-3143. |
| Reference:
|
[16] X. Niu, J. A. De Abreu-Garcia: Some discrete-time counterparts to continuous-time stability bounds.In: Proc. of 1991 Amer. Contr. Conf., Boston, MA 1991, pp. 1947-1948. |
| Reference:
|
[17] S. Rem P. T. Kabamba, D. S. Bernstein: A guardian map approach to robust stability of linear systems with constant real parameter uncertainty.In: Proc. of 1992 Amer. Contr. Conf., Chicago, IL 1992, pp. 2649-2652. |
| Reference:
|
[18] D. D. Siljak: Parameter space methods for robust control design: a guided tour.IEEE Trans. Automat. Control 34 (1989), 7, 674-688. Zbl 0687.93033, MR 1000661 |
| Reference:
|
[19] J.-H. Su, I.-K. Fong: Robust stability analysis of linear continuous/discrete-time systems with output feedback controllers.IEEE Trans. Automat. Control 38 (1993), 7, 1154-1158. Zbl 0788.93072, MR 1235244 |
| Reference:
|
[20] E. Yaz: Deterministic and stochastic robustness measures for discrete systems.IEEE Trans. Automat. Control 33 (1988), 10, 952-955. Zbl 0661.93028, MR 0959022 |
| Reference:
|
[21] E. Yaz, X. Niu: New robustness bounds for discrete systems with random perturbations.IEEE Trans. Automat. Control 55 (1993), 12, 1866-1870. Zbl 0792.93027, MR 1254325 |
| Reference:
|
[22] R. K. Yedavali, Z. Liang: Reduced conservatism in stability robustness bounds by state transformation.IEEE Trans. Automat. Control 31 (1986), 9, 863-866. |
| Reference:
|
[23] R. K. Yedavali: Stability robustness measures under dependent uncertainty.In: Proc. of 1988 Amer. Contr. Conf., Atlanta, GA 1988, pp. 820-823. |
| Reference:
|
[24] K. M. Zhou, P. P. Khargonekar: Stability robustness bounds for linear state space models with structured uncertainty.IEEE Trans. Automat. Control 32 (1987), 7, 621-623. Zbl 0616.93060, MR 0891986 |
| Reference:
|
[25] K. Zhou P. P. Khargonekar J. Stoustrup, and H. H. Niemann: Robust stability and performance of uncertain systems in state space.In: Proc. 25th IEEE Conf. Decision Contrl., Tucson, AZ 1992, pp. 662-667. |
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