Input-output feedback stability and robustness, 1959-85

The literature on input-output feedback is too large to do justice into a single article. Here we concentrate on the formative years ending in 1985 and leave the subsequent story to be told elsewhere. It is not a comprehensive survey of the literature or even of the most important papers. Rather, it is an attempt to describe events that marked the turning points. The period under scrutiny can be divided into roughly two parts; interest in nonlinear stability dominated the first part and robustness the second.

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[2]  Henry E Singleton.  Theory of nonlinear transducers , 1950 .

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[9]  I. Horowitz.  Synthesis of feedback systems , 1963 .

[10]  G. Zames.  Functional Analysis Applied to Nonlinear Feedback Systems , 1963 .

[11]  K. Narendra,et al.  A Geometrical Criterion for the Stability of Certain Nonlinear Nonautonomous Systems , 1964 .

[12]  I. Sandberg.  A frequency-domain condition for the stability of feedback systems containing a single time-varying nonlinear element , 1964 .

[13]  I. W. Sandberg,et al.  On the L 2 -boundedness of solutions of nonlinear functional equations , 1964 .

[14]  C. Desoer,et al.  General Formulation of the Nyquist Criterion , 1965 .

[15]  G. Zames.  On the input-output stability of time-varying nonlinear feedback systems Part one: Conditions derived using concepts of loop gain, conicity, and positivity , 1966 .

[16]  B. Anderson,et al.  A generalization of the Popov criterion , 1968 .

[17]  Kumpati S. Narendra,et al.  Stability of nonlinear time-varying feedback systems , 1968, Autom..

[18]  Jan C. Willems,et al.  Stability, Instability, Invertibility and Causality , 1969 .

[19]  J. Willems.  Dissipative dynamical systems part I: General theory , 1972 .

[20]  C. Desoer,et al.  Feedback Systems: Input-Output Properties , 1975 .

[21]  Michael Athans,et al.  Gain and phase margin for multiloop LQG regulators , 1976, 1976 IEEE Conference on Decision and Control including the 15th Symposium on Adaptive Processes.

[22]  Dante C. Youla,et al.  Modern Wiener--Hopf design of optimal controllers Part I: The single-input-output case , 1976 .

[23]  G. Zames.  On the metric complexity of casual linear systems: ε -Entropy and ε -Dimension for continuous time , 1979 .

[24]  A. Tannenbaum.  Feedback stabilization of linear dynamical plants with uncertainty in the gain factor , 1980 .

[25]  M. Vidyasagar,et al.  Algebraic and Topological Aspects of the Servo Problem for Lumped Linear Systems , 1981 .

[26]  John C. Doyle.  Analysis of Feedback Systems with Structured Uncertainty , 1982 .

[27]  G. Zames,et al.  Feedback, minimax sensitivity, and optimal robustness , 1983 .

[28]  J. Pearson,et al.  Optimal disturbance reduction in linear multivariable systems , 1983, The 22nd IEEE Conference on Decision and Control.

[29]  J. Doyle.  Synthesis of robust controllers and filters , 1983, The 22nd IEEE Conference on Decision and Control.

[30]  G. Zames,et al.  H ∞ -optimal feedback controllers for linear multivariable systems , 1984 .

[31]  Edmond A. Jonckheere,et al.  L∞-compensation with mixed sensitivity as a broadband matching problem , 1984 .

[32]  H. Kwakernaak.  Minimax frequency domain performance and robustness optimization of linear feedback systems , 1985 .

[33]  P. Khargonekar,et al.  Non-Euclidian metrics and the robust stabilization of systems with parameter uncertainty , 1985 .

[34]  Mathukumalli Vidyasagar,et al.  Robust controllers for uncertain linear multivariable systems , 1984, Autom..

[35]  Bruce A. Francis,et al.  A course in H [infinity] control theory , 1987 .