Order bound for the realization of a combination of positive filters

IEEE Transactions on Automatic Control

Volumn 52, Issue 4, 2007, Pages 724-729

  Nagy, Béla ^a   Matolcsi, Máté ^a,b   Szilvási, Márta ^a  

^a BUDAPEST UNIVERSITY OF TECHNOLOGY AND ECONOMICS   (Hungary)

^b ALFRÉD RÉNYI INSTITUTE OF MATHEMATICS   (Hungary)

Author keywords

Charge routing networks; Discrete time filtering; Positive linear systems; Positive realizations

Indexed keywords

ASYMPTOTIC STABILITY; DISCRETE TIME CONTROL SYSTEMS; POLES AND ZEROS; SIGNAL FILTERING AND PREDICTION; TRANSFER FUNCTIONS;

CHARGE ROUTING NETWORKS; DISCRETE-TIME FILTERING; POSITIVE LINEAR SYSTEMS; POSITIVE REALIZATIONS;

LINEAR CONTROL SYSTEMS;

EID: 34247195419     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2007.894540     Document Type: Article

References (12)

1. B. D. O. Anderson, M. Deistler, L. Farina, and L. Benvenuti, "Nonnegative realization of a linear system with nonnegative impulse response," IEEE Trans. Circuits Syst. I, vol. 43, no. 2, pp. 134-142, Feb. 1996.
2. L. Benvenuti and L. Farina, "A tutorial on the positive realization problem," IEEE Trans. Autom. Control, vol. 49, no. 5, pp. 651-664, May 2004.
3. L. Benvenuti and L. Farina, "The design of fiber-optic filters," J. Lightw. Technol., vol. 19, no. 9, pp. 1366-1375, Sep. 2001.
4. L. Benvenuti, L. Farina, and B. D. O. Anderson, "Filtering through a combination of positive filters," IEEE Trans. Circuits Syst. I, vol. 46, no. 12, pp. 1431-1440, Dec. 1999.
5. N. K. Bose, Digital Filters: Theory and Applications. New York: North-Holland, 1985.
6. L. Farina and S. Rinaldi, Positive Linear Systems: Theory and Applications. New York: Wiley, 2000.
7. K.-H. Förster and B. Nagy, "Nonnegative realizations of matrix transfer functions," Lin. Alg. Appl., vol. 311, pp. 107-129, 2000.
8. A. Gersho and B. Gopinath, "Charge-routing networks," IEEE Trans. Circuits Syst., vol. CAS-26, no. 1, pp. 81-92, Feb. 1979.
9. C. Hadjicostis, "Bounds on the size of minimal nonnegative realizations for discrete-time LTI systems," Syst. Control Lett., vol. 37, pp. 39-43, 1999.
10. A. Halmschlager and M. Matolcsi, "Minimal positive realizations for a class of transfer functions," IEEE Trans. Circuits Syst. II, vol. 52, no. 4, pp. 177-180, Apr. 2005.
11. R. A. Horn and C. R. Johnson, Matrix Analysis. Cambridge, U.K.: Cambridge Univ. Press, 1985.
12. B. Nagy and M. Matolcsi, "Minimal positive realizations of transfer functions with nonnegative multiple poles," IEEE Trans. Autom. Control, vol. 50, no. 9, pp. 1447-1450, Sep. 2005.