Time Domain and Frequency Domain Conditions for Strict Positive Realness

IEEE Transactions on Automatic Control

Volumn 33, Issue 10, 1988, Pages 988-992

  Wen, John T ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TECHNIQUES -- TRANSFER FUNCTIONS; MATHEMATICAL TRANSFORMATIONS -- FOURIER TRANSFORMS; OPTIMIZATION;

MULTIVARIATE STRICT POSITIVE REAL SYSTEMS; POSITIVE REAL FUNCTIONS; POSITIVE REALNESS LEMMA;

CONTROL SYSTEMS, LINEAR;

EID: 0024091523     PISSN: 00189286     EISSN: 15582523     Source Type: Journal    
DOI: 10.1109/9.7263     Document Type: Article

References (13)

1. P. Ioanou and G. Tao, “Frequency domain conditions for strictly positive real functions,” IEEE Trans. Automat. Cortr., vol. AC-32, pp. 53-54, 1987.
2. G. Tao and P. Ioanou, “Strictly positive real matrices and the Lefschetz-Kalman-Yakubovich Lemma,” USC Rep. 87-11-01, Nov. 1987.
3. W. Rudin, Real and Complex Analysis, 2nd ed. New York: McGraw-Hill, 1966.
4. A. Bryson and Y. C. Ho, Applied Optimal Control. Hemisphere, 1975.
5. D. D. Šiljak, Large Dynamical Systems. Amsterdam, The Netherlands: North-Holland, 1978.
6. B. D. O. Anderson, “A simplified viewpoint of hyperstability,” IEEE Trans. Automat. Contr., vol. AC-13, pp. 292-294, 1968.
7. A. W. Naylor and G. R. Sell, Linear Operator Theory in Engineering and Science. New York: Springer-Verlag, 1983.
8. B. D. O. Anderson and Vongpanitlerd, Network Analysis and Synthesis-A Modern Systems Theory Approach. Englewood Cliffs, NJ: Prentice-Hall, 1973
9. I. D. Landau, Adaptive Control-The Model Reference Approach. New York: Marcel Dekker, 1979.
10. K. S. Narendra and J. H. Taylor, Frequency Domain Criteria for Absolute Stability. New York: Academic, 1973.
11. D. J. Hill and P. J. Moylan, “The stability of nonlinear dissipative systems,” IEEE Trans. Automat. Contr., vol. AC-21, pp. 708-711, 1976.
12. A. L. Likhtarnikov and V. A. Yakubovich, “The frequency theorem for equations of evolution type,” Siberian Math. J., vol. 17, pp. 1069-1085, 1976.
13. D. Wexler, “On frequency domain stability for evolution equations in Hilbert spaces via the algebraic Riccati equation,” SIAM J. Math Anal., vol. 11, pp. 969-983, 1980.