Equivalence between positive real and norm-Bounded uncertainty

IEEE Transactions on Automatic Control

Volumn 41, Issue 8, 1996, Pages 1190-1193

  Shim, Duksun ^a  

^a Chung Ang University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CONTROL SYSTEM ANALYSIS; INVARIANCE; MATHEMATICAL TRANSFORMATIONS; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY; TRANSFER FUNCTIONS;

BILINEAR TRANSFORM; LINEAR TIME INVARIANT SYSTEM; NORM BOUNDED UNCERTAINTY; POSITIVE REAL UNCERTAINTY; QUADRATIC STABILITY;

LINEAR CONTROL SYSTEMS;

EID: 0030212016     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.533682     Document Type: Article

References (5)

1. B. D. O. Anderson and S. Vongpanitlerd, Network Analysis and Synthesis: A Modern Systems Theory Approach. Englewood Cliffs, NJ: Prentice-Hall, 1973.
2. W. M. Haddad and D. S. Bernstein, "Robust stabilization with positive real uncertainty: Beyond the small gain theorem," Syst. Contr. Lett., vol. 17, pp. 191-208, 1991.
3. M. A. Rotea, M. Corless, D. Da, and I. R. Pertersen, "System with structured uncertainty: Relation between quadratic and robust stability," IEEE Trans. Automat. Contr., vol. 38, pp. 799-803, 1993.
4. D. Shim, "Quadratic stability in the circle theorem or positivity theorem," Int. J. Robust Nonlinear Contr., to appear.
5. J. T. Wen, "Time domain and frequency domain conditions for strict positive realness," IEEE Trans. Automat. Contr., vol. 33, pp. 998-992, 1988.