References
- Bittanti S. Colaneri P. 1996 Analysis of discrete-time linear periodic systems In C. T. Leondes (Ed.) Digital Control and Signal Processing Systems and Techniques. Vol. 78 of Control and Dynamics Systems San Diego Academic Press pp. 313–339
- Bojanczyk A. W. Golub G. Van Dooren P. 1992 The periodic Schur decomposition. Algorithms and applications In F. T. Luk (Ed.) Proceedings SPIE Conference 1770 Bellingham SPIE pp. 31–42
- Colaneri , P. and Longhi , S. 1995 . The realization problem for linear periodic systems . Automatica , 31 : 775 – 779 .
- Flamm , D. S. 1991 . A new shift-invariant representation of periodic linear systems . Systems and Control Letters , 17 : 9 – 14 .
- Gohberg , I. , Kaashoek , M. A. and Lerer , L. 1992 . Minimality and realization of discrete time-varying systems . Operator Theory: Advances and Applications , 56 : 261 – 296 .
- Golub G. H. Van Loan C. F. 1989 Matrix Computations Baltimore John Hopkins University Press
- Grasselli , O. M. 1984 . A canonical decomposition of linear periodic discrete-time systems . International Journal of Control , 40 : 201 – 214 .
- Grasselli , O. M. and Longhi , S. 1998 . Zeros and poles of linear periodic discrete-time systems . Circuits, Systems and Signal Processing , 7 : 361 – 380 .
- Grasselli , O. M. and Longhi , S. 1991 . Pole-placement for nonreachable periodic discrete-time systems . Mathematics of Control, Signals, and Systems. , 4 : 439 – 455 .
- Helmke U. Verriest E. I. 2003 structure and parametrization of periodic linear systems SIAM Journal of Matrix Analysis and Applications (submitted)
- Hench , J. J. and Laub , A. J. 1994 . Numerical solution of the discrete-time periodic Riccati equation . IEEE Transaction on Automatic Control , 39 : 1197 – 1210 .
- Longhi , S. and Orlando , G. 1999 . Balanced reduction of linear periodic systems . Kybernetika , 35 : 737 – 751 .
- Meyer , R. A. and Burrus , C. S. 1975 . A unified analysis of multirate and periodically time-varying digital filters . IEEE Transactions on Circuits and Systems , 22 : 162 – 168 .
- Misra , P. and Patel , R. V. 1987 . Computation of transfer function matrices of linear multivariable systems . Automatica , 23 : 635 – 640 .
- Park B. Verriest E. I. 1989 Canonical forms for discrete-time periodically time varying systems and a control application Proceedings of CDC’89 Tampa FL USA pp. 1220–1225
- Pittelkau , M. E. 1993 . Optimal periodic control for spacecraft pointing and attitude determination . Journal of Guidance, Control, and Dynamics , 16 : 1078 – 1084 .
- Varga , A. 1989 . Computation of transfer function matrices of generalized state-space models . International Journal of Control , 50 : 2543 – 2561 .
- Varga A. 1996 Computation of Kronecker-like forms of a system pencil: Applications, algorithms and software Proceedings of the CACSD’96 Symposium Dearborn MI USA pp. 77–82
- Varga , A. 1999 . Balancing related methods for minimal realization of periodic systems . Systems and Control Letters , 36 : 339 – 349 .
- Varga A. 2000 a Balanced truncation model reduction of periodic systems Proceedings of CDC’2000 Sydney Australia pp. 2379–2384
- Varga A. 2000 b A descriptor systems toolbox for Matlab Proc. CACSD’2000 Symposium Anchorage Alaska USA
- Varga A. 2003 Computation of Kalman decompositions of periodic systems Proceedings of ECC’2003 Cambridge UK
- Varga A. Van Dooren P. 2001 Computational methods for periodic systems—an overview Proceedings of IFAC Workshop on Periodic Control Systems Como Italy pp. 171–176
- Varga A. Van Dooren P. 2002 Computation of zeros of periodic systems Proc. of CDC’2002 Las Vegas NV USA
- Varga , A. and Pieters , S. 1998 . Gradient-based approach to solve optimal periodic output feedback control problems . Automatica , 34 : 477 – 481 .
- Varga , A. and Sima , V. 1981 . A numerically stable algorithm for transfer-function matrix evaluation . International Journal of Control , 33 : 1123 – 1133 .