Input-Output Feedback Stability and Robustness, 1959–85

IEEE Control Systems

Volumn 16, Issue 3, 1996, Pages 61-66

  Zames, George ^a  

^a MCGILL UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL NONLINEARITIES; CONTROL THEORY; HISTORY; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY;

INPUT OUTPUT FEEDBACK STABILITY;

FEEDBACK CONTROL;

EID: 0030165425     PISSN: 1066033X     EISSN: None     Source Type: Journal    
DOI: 10.1109/37.506399     Document Type: Article

References (46)

1. H.E. Singleton, “Theory of Nonlinear Transducers,” MIT Research Lab. of Electronics, Cambridge, Mass., Tech. Rept. 160, Aug. 12,1950.
2. A.G. Bose, “A Theory of Nonlinear Systems,” MIT Research Lab. of Electronics, Cambridge, Mass., Tech. Rept. 309, May 15, 1956.
3. M.B. Brilliant, “Theory of the Analysis of Nonlinear Systems,” MIT Research Lab. of Electronics, Cambridge. Mass., Tech. Rept. 345. March 3, 1958.
4. D.A. George, “Continuous Nonlinear Systems,” MIT Research Lab. of Electronics, Cambridge, Mass., Tech. Rep. 355, July 24, 1959.
5. M. Shetzen, The Volterra and Wiener Theories of Nonlinear Systems, Wiley, New York, 1980.
6. G. Zames, “Conservation of Bandwidth in Nonlinear Operations,” MIT Research Lab. of Electronics, Cambridge, Mass., QPR no. 55, pp. 98-109, Oct. 15, 1959.
7. G. Zames, “Nonlinear Operators for System Analysis,” MIT Research Lab. of Electronics, Tech. Rept. 370, September 1960.
8. G. Zames, “Functional Analysis Applied to Nonlinear Feedback Systems,” IEEE Trans. on Circuit Theory, vol. CT-10, pp. 392-404, September 1963.
9. G. Zames, “On the Stability of Nonlinear, Time-Varying Feedback Systems,” Proc. Nat'l Electr. C., vol. 20. pp. 725-730, October 1964.
10. H.J. Landau, “On the Recovery of a Band-Limited Signal, After Instantaneous Companding and Subsequent Band Limiting,” Bell System Tech. J., vol. 19, pp. 351-364, March 1960.
11. I.W. Sandberg, “On the Properties of Systems that Distort Signals (I and II),” Bell Sys. Tech. J., vol. 42, pp. 2033-2047, and vol. 43. pp. 91-112, January 1964.
12. “On the L2-Boundedness of Solutions of Nonlinear Functional Equations,” Bell Sys. Tech. J., vol. 43, pp. 1581-1599, July 1964.
13. “A Frequency Domain Condition for Stability of Feedback Systems Containing a Single Time-Varying Nonlinear Element.” Bell Sys. Tech. J., vol. 43, pp. 1601-1608, Pt. II, July 1964.
14. Ya. Z. Tsypkin, “Absolute Stability of Equilibrium and Transients in Nonlinear Sampled-Data Systems,” Automatika i. Telemechanika, vol. 24, no. 12, 1963.
15. K.S. Narendra and R.M. Goldwyn, “A Geometrical Criterion for the Stability of Certain Nonlinear Nonautonomous Systems,” IEEE Trans. on Circuit Theory (Correspondence), vol. CT-11, pp. 406-408. September 1964.
16. C.A. Desoer, “A General Fonnulation of the Nyquist Criterion,” IEEE Trans. Circuit Theory. vol. CT-12, no. 2, pp. 230-234, June 1965.
17. “A Generalization of the Popov CriteIion,” IEEE Trans. Auto. Control, vol. AC-10, no. 2, pp. 182-184, April 1965.
18. G. Zames, “On the Input-Output Stability of Nonlinear Time-Varying Feedback Systems, Pts. I and II,” IEEE Trans. Auto. Control, vol. AC-11, no. 2, pp. 228-238, April 1966, and no. 3, pp. 465-477, July 1966.
19. V.A. Yakubovich, “The Solution of Certain Matrix Inequalities in Automatic Control Theory,” Dokl. Akad. Nauk USSR, vol. 143, pp. 1304-1307.
20. R.E. Kalman, “Liapunov Functions for the Problem of Lurie in Automatic Controls,” Proc. Nat. Acad. of Sci., U.S.A., vol. 49, no. 3, pp. 201-205, 1963.
21. R.W. Brockett and J.L. Willems, “Frequency Domain Stability Criteria, Pts. I and II,” IEEE Trans. Auto. Control, vol. AC-10, pp. 225-261, 407-413, July and October 1965.
22. V.M. Popov, “Absolute Stability of Nonlinear Systems of Automatic Control,” Automation and Remote Control, pp. 857-875, March 1962. (Russian original in August 1961.)
23. J.C. Willems, “Stability,Instability,Invenibility and Causality,” J. SIAM Contr., vol. 7, pp. 645-671, November 1969.
24. J.C. Willems, “Dissipative Dynamical Systems,” Archive for Rational Mechanics, vol. 45, no. 5, pp. 321-351, 1972.
25. J.C. Willems, The Analysis of Feedback Systems, MIT Press, Cambridge, MA, 1971.
26. C.A. Desoer and M. Vidyasagar, Feedback Systems; Input-Output Properties, Academic, New York, 1975.
27. M. Horowitz, Synthesis of Feedback Systems, Academic, New York, 1963.
28. D.C. Youla, J.J. Bongiorno Jr., and H.A. Jabr, “Modern Wiener-Hopf Design of Optimal Controllers: Part I, The Single-Input, Single-Output Case,” IEEE Trans. Auto. Control, vol. AC-21. pp. 3-13, 1976.
29. M.G. Safonov and M. Athans, “Gain and Phase Margin for Mnltiloop LQG Regulators,” IEEE Trans. Auto. Control, vol. AC-22. pp. 173-179, April 1977.
30. G. Zames, “Feedback and Complexity, Special Plenary Lecture,” Proc. 1976 Conf Dec. Control, Addenda, pp. 1-2; also, “On the Metric Complexity of Causal Linear Systems,_-entropy and _-dimension for Continuous Time,” IEEE Trans. Auto. Control, vol. AC-38, pp. 664-667, April 1979.
31. “Feedback and Optimal Sensitivity: Model Reference Transformations. Weighted Seminorms, and Approximate Inverses,” Proc. 17th. Allerton Conf., pp. 744-752, October 1979. Also, in IEEE Trans. Auto. Control, vol. 23, pp. 301-320, 1981.
32. G. Zames and B. Francis, “Feedback and Minimax Sensitivity,” Proc. NATO-AGARD, Lect. Ser., no. 117, pp. 10.1-10.8, October 1981.
33. J. Doyle, “Analysis of Feedback Systems with Structured Uncertainties,” IEEE Proc., vol. 129, Pt. D., no. 6, pp. 242-250, November 1982.
34. M.G. Safonov, “Stability Margins for Diagonally Perturbed Multivariable Feedback Systems,” IEEE Proc., vol. 129, Pt. D., no. 6, pp. 251-256, November 1982.
35. J. Doyle, “Synthesis of Robust Controllers and Filters,” Proc. 22nd. Conf. Dec. and Control, pp. 214-220, December 1983.
36. B.A. Francis, J.W. Helton, and G. Zames, “H-Infinity-Optimal Feedback Controllers for Linear Multivariable Systems,” IEEE Trans. Auto. Control, vol. AC-29, pp. 888-900, 1984.
37. B.C. Chang and J.B. Pearson, “Optimal Disturbance Reduction in Linear Multivariable Systems,” IEEE Trans. Auto. Control, vol. AC-29, pp. 880-887, 1984.
38. B.A. Francis, “A Course in H-Infinity Control Theory,” Lec. Notes in Control and Info. Sci., vol. 88. Springer Verlag, Berlin, 1987.
39. M.S. Verma and E. Jonckheere, “L-Infinity Compensation with Mixed Sensitivity as a Broad Band Matching Problem,” Systems Control Lett., vol. 4, pp. 125-129, 1984.
40. H. Kwakernaak, “Minimax Frequency Domain Performance and Robustness Optimization of Muitivariable Linear Systems,” IEEE Trans. Auto. Control, vol. AC-30, pp. 994-1004, 1985.
41. A. Tannenbaum, “Feedback Stabilization of Linear Dynamical Plants with Uncertainity in the Gain Factor,” Int. J. Control, vol. 32, no. 1, pp. 1-16. 1980.
42. P.K. Khargonekar and A. Tannenbaum, “Non-Euclidean Metrics and the Robust Stabilization of Systems with Parameter Uncertainty,” IEEE Trans. Auto. Control, vol. AC-30, no. 10, pp. 1005-1013, October 1985.
43. M. Vidyasagar and H. Kimura, “Robust Controllers for Uncertain Linear Multivariable Systems,” Automatica, vol. 22, no. 1.
44. B.A. Francis and M. Vidyasagar, “Algebraic and Topological Aspects of the Servo Problem for Lumped Linear Systems,” Yale Univ., Dept. of Electrical Eng., Report No. 8003, November 1980.
45. G. Zames and A. Ei-Sakkary, “Unstable Systems and Feedback: The Gap Metric,” Proc. 18th Allerton Conf., pp. 380-385, October 1980.
46. B. Francis, “On Disturbance Altenuatiun with Plant Uncertainty,” Workshop on New Perspectives in Industrial Control System Design, 1986.