A method for general design of positive real functions

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Volumn 45, Issue 7, 1998, Pages 764-769

  De La Sen, M ^a  

^a UNIVERSITY OF THE BASQUE COUNTRY UPV EHU   (Spain)

Author keywords

Passive networks; Positive real functions; Strictly positive real functions; Sylvester determinant

Indexed keywords

ALGEBRA; FUNCTIONS; PASSIVE NETWORKS; POLYNOMIALS; PROBLEM SOLVING;

POSITIVE REAL FUNCTIONS; STRICTLY POSITIVE REAL FUNCTIONS; SYLVESTER DETERMINANT;

MATHEMATICAL TECHNIQUES;

EID: 0032118160     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.703845     Document Type: Article

References (8)

1. H. J. Marquez and C. J. Damaren, "On the design of strictly positive real transfer functions," IEEE Trans. Circuits Syst. I, vol. 42, pp. 214-218, Apr. 1995.
2. J. Gregor, "On the design of positive real functions," IEEE Trans. Circuits Syst. I, vol. 43, pp. 945-947, Nov. 1996.
3. E. A. Guillemin, Synthesis of Passive Networks. New York: Wiley, 1951.
4. L. Weinberg, Network Analysis and Synthesis. New York: McGraw-Hill, 1962.
5. M. de la Sen, "Stability of composite systems with an asymptotically hyperstable block," Int. J. Control, vol. 44, no. 6, pp. 1769-1775, 1986.
6. _, "Absolute stability and hyperstability of a class of hereditary systems," in P roc. 31st IEEE Conf. Decision and Control, vol. 1, Tucson, AZ, pp. 725-730, Dec. 1992.
7. N. I. Achiezer, The Classical Problem of Moments. Moscow, U.S.S.R.: GI FMC, 1961.
8. V. M. Popov, Hyperstability of Control Systems. New York: Springer- Verlag, 1973.