On the robustness of symmetric systems

Systems and Control Letters

Volumn 27, Issue 3, 1996, Pages 187-190

  Qiu, Li ^a  

^a HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

Author keywords

Real stability radius; Robustness; Small gain theorem; Stability; Symmetric systems; Takagi factorization

Indexed keywords

CONTROL SYSTEM ANALYSIS; SYSTEM STABILITY;

PERTURBATION; SMALL GAIN THEOREM;

ROBUSTNESS (CONTROL SYSTEMS);

EID: 0029766067     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/0167-6911(95)00064-X     Document Type: Article

References (10)

1. M.J. Chen and C.A. Desoer, Necessary and sufficient condition for robust stability of linear distributed systems, Int. J. Control 35 (1982) 255-267.
2. J.C. Doyle, Analysis of feedback systems with structured uncertainties, Proc. IEE, Part D. 129 (1982) 242-250.
3. D. Hinrichsen and A.J. Pritchard, A note on some differences between real and complex stability radii, Systems Control Lett. 14 (1990) 105-113.
4. R.A. Horn and C.R. Johnson, Matrix Analysis (Cambridge Univ. Press, Cambridge, 1985).
5. M. Ikeda, Symmetric controllers for space structure with collocated sensor and actuators, preprint, 1994.
6. S.M. Joshi, Control of Large Flexible Space Structures (Springer, Berlin, 1989).
7. L. Qiu, B. Bernhardsson, A. Rantzer, E.J. Davison, P.M. Young and J.C. Doyle, A formula for computation of the real stability radius, Automatica (1995), 879-890.
8. M.G. Safonov, Stability margin of diagonally perturbed multivariable feedback systems, Proc. IEE, Part D. 129 (1982) 251-256.
9. S. Yamamoto and H. Kimura, Robustness analysis of symmetric systems based on the structured singular values, in: Proc. 1st Asian Control Conf., Vol. 1 (1994) 359-362.
10. S. Yamamoto and H. Kimura, On structured singular values of reciprocal matrices, in: Proc. American Control Conf. (1995) 3358-3359.