Input and output decoupling zeros of linear periodic discrete-time systems

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1. S. Bittanti P. Colaneri, G. Guardabassi, Analysis of the periodic Lyapunov and Riccati equátions via canonical decomposition, SIAM J. Control Optim. 24 (1986), 1138-1149. (1986) MR0861091
2. S. R. Hall, N. M. Werely, Generalized Nyquist stability criterion for linear time periodic systems, Proc. of the American Control Conference vol. 2 (1990), 1518-1525. (1990) 
3. Y. C. Juan, P. T. Kabamba, Simultaneous pole assignment in linear periodic systems by constrained structure feedback, IEEE Trans. Automat. Control 34 (1989), 168-173. (1989) Zbl0676.93020MR0975577
4. H. Kano, T. Nishimura, Controllability, stabilizability and matrix Riccati equations for periodic systems, IEEE Trans. Automat. Control 30 (1985), 1129-1131. (1985) Zbl0577.93004MR0810315
5. J. A. Richards, Analysis of Periodically Time-Varying Systems, Springer-Verlag, Berlin - Heidelberg-New York 1983. (1983) Zbl0503.34002
6. S. Bittanti, Deterministic and stochastic linear periodic systems, In: Time Series and Linear Systems (S. Bittanti, ed.), Springer-Verlag, Berlin -Heidelberg-New York 1986, pp. 141-182. (1986) MR0897824
7. S. Bittanti, P. Bolzern, Discrete-time linear periodic systems: gramiam and modal criteria for reachability and controllability, Internat. J. Control 41 (1985), 4, 909-928. (1985) MR0792917
8. P. Colaneri, Discrete-time linear periodic systems: stabilization and zero error regulation, Preprints of the 11th IFAC World Congress, Tallinn, Estonia (SU), vol. 2 (1990), 144- 149. (1990) MR1068922
9. O. M. Grasselli, A canonical decomposition of linear periodic discrete-time systems, Internat. J. Control 40 (1984), 1, 201-214. (1984) Zbl0546.93010MR0750419
10. O. M. Grasselli, Dead-beat observers of reduced order for linear periodic discrete-time systems with inaccessible inputs, Internat. J. Control 40 (1984), 4, 731 - 745. (1984) Zbl0547.93030
11. O. M. Grasselli, F. Lampariello, Dead-beat control of linear periodic discrete-time systems, Internat. J. Control 33 (1981), 6, 1091-1106. (1981) Zbl0464.93056MR0624173
12. O. M. Grasselli, S. Longhi, Output dead-beat controllers and function dead-beat observers for linear periodic discrete-time systems, Internat. J. Control 43 (1986), 2, 517-537. (1986) Zbl0583.93044MR0825659
13. O. M. Grasselli, S. Longhi, Disturbance localization with dead-beat control for linear periodic discrete-time systems, Internat. J. Control 44 (1986), 5, 1319-1347. (1986) Zbl0602.93027MR0858932
14. O. M. Grasselli, S. Longhi, Linear function dead-beat observers with disturbance localization for linear periodic discrete-time systems, Internat. J. Control 45 (1987), 5, 1603-1627. (1987) Zbl0622.93042MR0890402
15. O. M. Grasselli, S. Longhi, Disturbance localization by measurement feedback for linear periodic discrete-time systems, Automatica 24 (1988), 3, 375 - 385. (1988) Zbl0653.93033MR0947377
16. O. M. Grasselli, S. Longhi, Eigenvalue assignment for linear periodic discrete-time non-reachable systems, Proceedings of the IEEE Internat. Conference on Control and Applications, Jerusalem (Israel), 1989, paper no. RA-2-4. (1989) 
17. O. M. Grasselli, S. Longhi, Robust tracking and regulation of linear periodic discrete- time systems, Rep. 89.08, Dipartimento di Ingegneria Elettronica, Seconda Universita di Roma ,,Tor Vergata'' 1989. (1989) 
18. O. M. Grasselli, S. Longhi, Algebraic-geometric techniques for linear periodic discrete- time systems, In: Realization and Modelling in System Theory, Proc. of the Internat. Symp. on the Mathem. Theory of Networks and Systems (MTNS-89), Amsterdam (M. A. Kaashoek, J. H. van Schuppen and A. C. M. Ran, eds.), Birkhauser, Boston 1990, pp. 189-198. (1990) Zbl0726.93025MR1115330
19. O. M. Grasselli, S. Longhi, The geometric approach for linear periodic discrete-time systems, Linear Algebra Appl. (1991) (to appear). (1991) Zbl0758.93044MR1126434
20. O. M. Grasselli, S. Longhi, Pole placement for non-reachable periodic discrete-time systems, Math. Control Signals Systems (1991) (to appear). (1991) MR1128264
21. M. Kono, Eigenvalue assignment in linear periodic discrete-time systems, Internat. J. Control 32 (1980), 1, 149-158. (1980) Zbl0443.93044MR0580197
22. S. Longhi A. M. Perdon, G.Conte, Geometric and algebraic structure at infinity of discrete- time linear periodic systems, Linear Algebra Appl. 122/123/124 (1989), 245-271. (1989) MR1019990
23. B. Park, E. I. Verriest, Canonical forms on discrete linear periodically time-varying systems and a control application, Proc. of the 28th IEEE Confer, on Decision and Control, Tampa (Florida), 1989, pp. 1220-1225. (1989) MR1038997
24. A. M. Perdon G. Conte, S. Longhi, Invertibility and inversion of linear periodic systems, Preprints of the 11th IFAC World Congress, Tallinn, Estonia (SU), vol. 2(1990), pp. 241-244. (1990) MR1166036
25. E. L Verriest, The operational transfer function and parametrization of $N$-periodic systems, Proceedings of the 27th IEEE Conference on Decision and Control, Austin (Texas), 1988, ppj 1994-1999. ' (1988) 
26. L. Zheng, Discrete-time adaptive control for periodically time-varying systems, Proc. of the IFAC Symposium on Adaptive Systems in Control and Signal Processing, Lund (Sweden), 1986, pp. 131-135. (1986) 
27. O. M. Grasselli, S. Longhi, Zeros and poles of linear periodic multivariable discrete-time systems, Circuits Systems Signal Process. 7 (1988), 3, 361 -380. (1988) Zbl0662.93015MR0962108
28. P. Bolzern P. Colaneri, R. Scattolini, Zeros of discrete-time linear periodic systems, IEEE Trans. Automat. Control 30(1986), 1057-1058. (1986) 
29. M. Araki, K. Yamamoto, Multivariable multirate sampled-data systems: state space description, transfer characteristics, and Nyquist criterion, IEEE Trans. Automat. Control 31 (1986), 145-154. (1986) MR0824909
30. M. L. Liou, Y. L. Kuo, Exact analysis of switched capacitor circuits with arbitrary inputs, IEEE Trans. Circuits and Systems 26 (1979), 213 - 223. (1979) Zbl0399.94018MR0525234
31. R. A. Meyer, C. S. Burrus, A unified analysis of multirate and periodically time-varying digital filters, IEEE Trans. Circuits and Systems 22 (1975), 3, 162-168. (1975) MR0392090
32. B. A. Francis, T. T. Georgiou, Stability theory for linear time-invariant plants with periodic digital controllers, IEEE Trans. Automat. Control 33 (1988), 9, 820-832. (1988) Zbl0651.93053MR0953876
33. T. Kaczorek, Pole placement for linear discrete-time systems by periodic output-feedback, Systems Control Lett. 6 (1985), 267-269. (1985) MR0812258
34. P. P. Khargonekar K. Polla, A. Tannenbaum, Robust control of linear time-invariant plants using periodic compensation, IEEE Trans. Automat. Control 30(1985), 1088-1096. (1985) MR0810310
35. A. V. Olbrot, Robust stabilization of uncertain systems by periodic feedback, Internat. J. Control 45 (1987), 747-758. (1987) Zbl0616.93063MR0880270
36. J. L. Willems V. Kučera, P. Brunovský, On the assignment of invariant factors by time-varying feedback strategies, Systems Control Lett. 5 (1984), 75 - 80. (1984) MR0775612
37. O. M. Grasselli A. Isidori, F. Nicoló, Output regulation of a class of bilinear systems under constant disturbances, Automatica 75 (1979), 189-195. (1979) 
38. o. M. Grassselli A. Isidori, F. Nicoló, Dead-beat control of discrete-time bilinear systems, Internat. J. Control 72 (1980), 1, 31 - 39. (1980) 
39. o. M. Grasselli, S. Longhi, On the stabilization of a class of bilinear system, Internat. J. Control 37 (1983), 2, 413-420. (1983) MR0694306
40. A. G. J. MacFarlane, N. Karcanias, Poles and zeros of linear multivariable systems: a survey of the algebraic, geometric and complex-variable theory, Internat. J. Control 24 (1976), 33-74. (1976) Zbl0374.93014MR0418989
41. A. S. Morse, Structural invariants of linear multivariable systems, SIAM J. Control 77 (1973), 3, 446-465. (1973) Zbl0259.93011MR0386762
42. c. B. Schrader, M. K. Sain, Research on system zeros: a survey, Internat. J. Control 50 (1989), 1407-1433. (1989) Zbl0686.93036MR1028424
43. H. H. Rosenbrock, Comments on "Poles and zeros of linear multivariable systems: a survey of the algebraic, geometric and complex-variable theory", Internat. J. Control 26 (1977), 1, 157-161. (1977) Zbl0374.93015MR0490181
44. H. H. Rosenbrock, State-Space and Multivariable Theory, Nelson, London 1970. (1970) Zbl0246.93010
45. D. S. Evans, Finite-dimensional realizations of discrete-time weighting patterns, SIAM J. Appl. Math. 22 (1972), 1, 45-67. (1972) Zbl0242.93024MR0378915
46. C T. Chen, Linear System Theory and Design, Holt, Rinehart and Winston, New York 1984. (1984) 
47. O. M. Grasselli, Smith-McMillan form from state space representation for non-minimal systems, Ricerche di Automatica 3 (1972), 3, 261 - 279. (1972) 
48. O. M. Grasselli, S. Longhi, The finite zero structure of linear periodic discrete-time systems, Internat. J. Systems Sci. (to appear). MR1128912
49. O. M. Grasselli, Controllability and observability of series connections of systems, Ricerche di Automatica 3 (1972), 44- 53. (1972) 
50. O. M. Grasselli, Conditions for controllability and reconstructibility of discrete-time linear composite systems, Internat. J. Control 31 (1980), 433-441. (1980) Zbl0433.93006MR0570697