The spectral interactor matrix for the singular Riccati equation
作者： S. Bittanti , P. Colaneri , M.F. Mongiovi
关键词:
摘要: With reference to discrete-time linear square systems, we introduce the notion of spectral interactor matrix, which is an matrix preserving properties underlying system. such a deeper insight into solutions Riccati equation arising in singular filtering gained. Precisely, prove that can be seen as result two contributions, one associated with finite zeros outside unit circle and second produced by at infinity (system delays). >
sci-hub.se 参考文章(8)
Uri Shaked, Explicit solution to the singular discrete-time stationary linear filtering problem IEEE Transactions on Automatic Control. ,vol. 30, pp. 34- 47 ,(1985) , 10.1109/TAC.1985.1103784
W. A. Wolovich, P. L. Falb, Invariants and Canonical Forms under Dynamic Compensation SIAM Journal on Control and Optimization. ,vol. 14, pp. 996- 1008 ,(1976) , 10.1137/0314063
B. R. Copeland, M. G. Safonov, Zero cancelling compensators for singular control problems and their application to the inner–outer factorization problem International Journal of Robust and Nonlinear Control. ,vol. 2, pp. 139- 164 ,(1992) , 10.1002/RNC.4590020205
Yasuhiko Mutoh, Romeo Ortega, Interactor structure estimation for adaptive control of discrete-time multivariable nondecouplable systems Automatica. ,vol. 29, pp. 635- 647 ,(1993) , 10.1016/0005-1098(93)90060-7
M. Rogozinski, A. Paplinski, M. Gibbard, An algorithm for the calculation of a nilpotent interactor matrix for linear multivariable systems IEEE Transactions on Automatic Control. ,vol. 32, pp. 234- 237 ,(1987) , 10.1109/TAC.1987.1104568
C. Tsiligiannis, S. Svoronos, Multivariable self-tuning control via the right interactor matrix IEEE Transactions on Automatic Control. ,vol. 31, pp. 987- 989 ,(1986) , 10.1109/TAC.1986.1104148
L. Silverman, Inversion of multivariable linear systems IEEE Transactions on Automatic Control. ,vol. 14, pp. 270- 276 ,(1969) , 10.1109/TAC.1969.1099169
J. Maciejowski, Asymptotic recovery for discrete-time systems IEEE Transactions on Automatic Control. ,vol. 30, pp. 602- 605 ,(1985) , 10.1109/TAC.1985.1104010