Geodesic
Block bialternate sum with applications to computation of stability bounds
Kybernetika, Tome 33 (1997) no. 4, pp. 445-461 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Classification : 93B40, 93C70, 93D09 
@article{KYB_1997_33_4_a6,
     author = {Ghosh, R. and Sen, S. and Datta, K. B.},
     title = {Block bialternate sum with applications to computation of stability bounds},
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     pages = {445--461},
     year = {1997},
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     zbl = {0943.93047},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_1997_33_4_a6/}
}
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Ghosh, R.; Sen, S.; Datta, K. B. Block bialternate sum with applications to computation of stability bounds. Kybernetika, Tome 33 (1997) no. 4, pp. 445-461. http://geodesic.mathdoc.fr/item/KYB_1997_33_4_a6/

[1] J. B. Brewer: Kronecker products and matrix calculus in system theory. IEEE Trans. Circuits and Systems 25 (1978), 772-781. , | MR | Zbl

[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. | MR | Zbl

[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. | MR | Zbl

[4] P. T. Kokotović H. K. Khalil, J. O'Reilly: Singular Perturbation Methods in Control: Analysis and Design. Academic Press, London 1986. | MR

[5] J. Lunze: Determination of robust multivariable I-controllers by means of experiments and simulation. Systems Anal. Modelling Simulation 2 (1985), 227-249. | MR | Zbl

[6] J. R. Magnus: Linear Structures. Griffin, London 1988. | MR | Zbl

[7] M. Morari: Robust stability of systems with integral control. IEEE Trans. Automat. Control 30 (1985), 574-577. | MR | Zbl

[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. | MR | Zbl

[9] S. Sen, K. B. Datta: Stability bounds of singularly perturbed systems. IEEE Trans. Automat. Control 38 (1993), 302-304. | MR

[10] S. Sen R. Ghosh, K. B. Datta: Stability bounds for high-gain feedback systems. J. Inst. Engineers, submitted.

[11] A. Tesi, A. Vicino: Robust stability of state-space models with structured uncertainties. IEEE Trans. Automat. Control 35 (1990), 191-195. | MR | Zbl

[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