Robust relative stability of time-invariant and time-varying lattice filters

IEEE Transactions on Signal Processing

Volumn 46, Issue 8, 1998, Pages 2088-2100

  Dasgupta, Soura ^a   Fu, Minyue ^a   Schwarz, Chris ^b  

^a IA United States   (United States)

^b UNIVERSITY OF NEWCASTLE   (Australia)

Author keywords

Lattice filters; Lyapunov; Robustness; Stability; Time vaying filters

Indexed keywords

EID: 33747747662     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/78.705417     Document Type: Article

References (14)

1. B. D. O. Andersen and J. B. Moore, Optimal Filtering. Englewood Cliffs, NJ: Prentice-Hall, 1979.
2. J. R. Deller, J. G. Proakis, and J. H. L. Hansen, Discrete-Time Processing of Speech Signals. New York: Macmillan, 1993.
3. A. H. Gray and J. D. Markel,"A normalized digital filter structure," IEEE Trans. Acoust. Speech, Signal Processing, vol. ASSP-23, pp. 268-277, June 1975.
4. S. Phoong and P. P. Vaidyanathan, "Time-varying filter banks: Factorizability of lossless time-varying filters and filter banks," Tech. Rep., Calif. Inst. Technol., Pasadena, Apr. 1995.
5. S. Dasgupta, G. Chockalingam, B. D. O. Anderson, and M. Fu, "Lyapunov functions for uncertain systems with applications to the stability of time varying systems," IEEE Trans. Circuits Syst., vol . 41, pp. 93-106, Feb. 1994.
6. J. C. Willems, Stability Theory of Dynamical Systems. London, U.K.: Nelson, 1970.
7. M. Mansour, "A note on the stability of linear discrete systems and Lyapunov method," IEEE Trans. Automat. Contr., vol. AC-27, pp. 707-708, June 1982.
8. B. D. O. Anderson, E. I. Jury, and M. Mansour, "Schwarz matrix properties for continuous and discrete time systems," Int. J. Contr., vol. 23, pp. 1-16, 1976.
9. V. L. Kharitonov, "Asymptotic stability of an equilibrium position of a family of systems of linear differential equations," Differ. Equ., vol. 14, pp. 1483-1485, 1979.
10. B. D. O. Anderson and J. B. Moore, "Detectability and stabilizability of time-varying discrete-time linear systems," SIAM J. Contr. Optimiz., vol. 19, pp. 20-32, Jan. 1981.
11. S. Dasgupta, P. J. Parker, B. D. O. Anderson, F. J. Kraus, and M. Mansour, "Frequency domain criteria for the robust stability of linear and nonlinear dynamical systems," IEEE Trans. Circuits Syst., vol. 38, pp. 389-397, 1991.
12. S. K. Mitra, P. S. Kamat, and D. C. Huey, "Cascaded lattice realization of digital filters," Circuit Theory Applicat., vol. 5, pp. 3-11, 1977.
13. K. J. Aström and B. Wittenmark, Computer-Controlled Systems. Englewood Cliffs, NJ: Prentice-Hall, 1990.
14. K. Zhou, J. C. Doyle, and K. Glover, Robust and Optimal Control. Englewood Cliffs, NJ: Prentice Hall, 1996.