| Title:
|
Block bialternate sum with applications to computation of stability bounds (English) |
| Author:
|
Ghosh, R. |
| Author:
|
Sen, S. |
| Author:
|
Datta, K. B. |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
33 |
| Issue:
|
4 |
| Year:
|
1997 |
| Pages:
|
445-461 |
| . |
| Category:
|
math |
| . |
| MSC:
|
93B40 |
| MSC:
|
93C70 |
| MSC:
|
93D09 |
| idZBL:
|
Zbl 0943.93047 |
| idMR:
|
MR1471388 |
| . |
| Date available:
|
2009-09-24T19:10:30Z |
| Last updated:
|
2012-06-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124884 |
| . |
| Reference:
|
[1] J. B. Brewer: Kronecker products and matrix calculus in system theory.IEEE Trans. Circuits and Systems 25 (1978), 772-781. , Zbl 0397.93009, MR 0510703 |
| Reference:
|
[2] A. T. Fuller: Conditions for a matrix to have only characteristic roots with negative real parts.J. Math. Anal. Appl. 23 (1968), 71-98. Zbl 0157.15705, MR 0228517 |
| Reference:
|
[3] D. C. Hyland, E. G. Collins: Block Kronecker products and block norm matrices in large-scale systems analysis.SIAM J. Matrix Anal. Appl. 10 (1989), 18-29. Zbl 0684.15010, MR 0976149 |
| Reference:
|
[4] P. T. Kokotović H. K. Khalil, J. O'Reilly: Singular Perturbation Methods in Control: Analysis and Design.Academic Press, London 1986. MR 0950486 |
| Reference:
|
[5] J. Lunze: Determination of robust multivariable I-controllers by means of experiments and simulation.Systems Anal. Modelling Simulation 2 (1985), 227-249. Zbl 0569.93045, MR 0824473 |
| Reference:
|
[6] J. R. Magnus: Linear Structures.Griffin, London 1988. Zbl 0667.15010, MR 0947343 |
| Reference:
|
[7] M. Morari: Robust stability of systems with integral control.IEEE Trans. Automat. Control 30 (1985), 574-577. Zbl 0558.93069, MR 0789328 |
| Reference:
|
[8] D. Mustafa: Block Lyapunov sum with applications to integral controllability and maximal stability of singularly perturbed systems.Internat. J. Control 61 (1995), 47-63. Zbl 0817.93009, MR 1619710 |
| Reference:
|
[9] S. Sen, K. B. Datta: Stability bounds of singularly perturbed systems.IEEE Trans. Automat. Control 38 (1993), 302-304. MR 1206817 |
| Reference:
|
[10] S. Sen R. Ghosh, K. B. Datta: Stability bounds for high-gain feedback systems.J. Inst. Engineers, submitted. |
| Reference:
|
[11] A. Tesi, A. Vicino: Robust stability of state-space models with structured uncertainties.IEEE Trans. Automat. Control 35 (1990), 191-195. Zbl 0705.93061, MR 1038416 |
| Reference:
|
[12] K. D. Young P. T. Kokotović, V. Utkin: Singular perturbation analysis of high-gain feedback systems.IEEE Trans. Automat. Control 22 (1977), 931-938. MR 0476055 |
| . |
