Spectral conditions for positive realness of single-input-single-output systems

IEEE Transactions on Automatic Control

Volumn 49, Issue 10, 2004, Pages 1875-1877

  Shorten, Robert ^a   King, Christopher ^b  

^a NATIONAL UNIVERSITY OF IRELAND   (Ireland)

^b NORTHEASTERN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; LINEAR CONTROL SYSTEMS; LYAPUNOV METHODS; MATRIX ALGEBRA; STATE SPACE METHODS; SYSTEM STABILITY; THEOREM PROVING; TIME VARYING CONTROL SYSTEMS; TRANSFER FUNCTIONS;

LINEAR TIME INVARIANT SYSTEMS; MATRIX PRODUCT; POSITIVE REAL TRANSFER FUNCTIONS; QUADRATIC LYAPUNOV FUNCTIONS; SINGLE INPUT SINGLE OUTPUT SYSTEMS; STRICTLY POSITIVE REAL TRANSFER FUNCTIONS;

CONTROL SYSTEM ANALYSIS;

EID: 7244226636     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2004.835593     Document Type: Article

References (7)

1. W. Gao and Y. Zhou, "Eigenvalue based algorithms for testing positive realness of SISO systems." IEEE Trans. Automat. Contr., vol. 48, pp. 2051-2054. Dec. 2003.
2. Z. Bai and W. Freund. "Eigenvalue based characterization and test for positive realness of scalar transfer functions," IEEE Trans. Automat. Contr., vol. 45, pp. 2396-2402, Dec. 2000.
3. J. Wen, "Time domain and frequency domain conditions for strict positive realness" IEEE Trans. Automat. Contr., vol. 33, pp. 988-992, July 1988.
4. D. Henrion, "LMI's for robust SPR design," IEEE Trans. Circuits Syst. I, vol. 49, pp. 1017-1020, Sept. 2002.
5. K. Narendra and J. Taylor, Frequency Domain Criteria for Absolute Stability. New York: Academic, 1973.
6. P. Ioannou and G. Tao, "Frequency domain conditions for strictly positive real functions," IEEE Trans. Automat. Contr., vol. AC-32, pp. 53-54. Jan. 1987.
7. R. Shorten and K. S. Narendra, "On common quadratic Lyapunov functions for pairs of stable LTI systems whose system matrices are in companion form," IEEE Trans. Automat. Contr., vol. 48, pp. 618-621. Apr. 2003.