On the Design of Strictly Positive Real Transfer Functions

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

Volumn 42, Issue 4, 1995, Pages 214-218

  Marquez, H J ^a   Damaren, C J ^a  

^a ROYAL ROADS UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

CIRCUIT THEORY; CONVERGENCE OF NUMERICAL METHODS; ELECTRIC NETWORK ANALYSIS; FEEDBACK; PARAMETER ESTIMATION; POLYNOMIALS;

HURWITZ POLYNOMIALS; KALMAN YAKUBOVICH LEMMA; STRICTLY REAL TRANSFER FUNCTIONS;

TRANSFER FUNCTIONS;

EID: 0029290273     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.382475     Document Type: Article

References (14)

1. C. A. Desoer and M. Vidyasagar, Feedback Systems: Input-Output Properties. New York: Academic, 1975.
2. J. H. Taylor, “Strictly positive-real functions and the Lefshetz-Kalman-Yakubovich (LKY) lemma,” IEEE Trans. Circuits Syst., pp. 310–311, Mar. 1974.
3. P. Ioannou and G. Tao, “Frequency domain conditions for strictly positive real functions,” IEEE Trans. Automat. Contr., vol. 32, pp. 53–54, Jan. 1987.
4. H. J. Marquez and C. J. Damaren, “Comments on ' ‘Strictly Positive Real Transfer Functions Revisited,’” submitted for publication.
5. K. J. Astrom and B. Wittenmark, Adaptive Control. Reading, MA: Addison-Wesley, 1989.
6. R. J. Benhabib, R. P. Iwens, and R. L. Jackson, “Stability of large space structure control systems using positivity concepts,” J. Guidance and Control, vol. 4, pp. 487–494, Sept.-Oct. 1981.
7. C. A. Desoer, R. W. Liu, J. M. Murray, R. Saeks, “Feedback system design: The fractional representation approach to analysis and synthesis,” IEEE Trans. Automat. Contr., vol. 25, pp. 399–412, June 1980.
8. E. A. Guillemin, Synthesis of Passive Networks. New York: Wiley, 1957.
9. M. E. Van Valkenburg, Introduction to Modern Network Synthesis. New York: Wiley, 1960.
10. E. I. Jury, Inners and Stability of Dynamic Systems. New York: Wiley, 1974.
11. S. Lefschetz, Stablity of Nonlinear Control Systems. New York: Academic, 1963.
12. J. C. Willems, “Dissipative dynamical systems, Part II: Linear systems with quadratic supply rates,” Arch. Rational Mech. Anal., vol. 45, pp. 352–393, 1972.
13. F. Gantmacher, The Theory of Matrices. New York: Chelsea, 1959, vol. II.
14. J. Gilbert and L. Gilbert, Elements of Modern Algebra. Boston, MA: PWS-Kent, 1992, third ed.