Bell Labs and input-output stability: a personal historical perspective

Background material is given concerning the origins of input-output stability theory.

[1]  Quantitative L^{P} stability analysis of a class of linear time-varying feedback systems , 2003 .

[2]  Irwin W. Sandberg,et al.  Harmonic balance and almost periodic inputs , 2002, 2002 IEEE International Symposium on Circuits and Systems. Proceedings (Cat. No.02CH37353).

[3]  Eduardo Sontag,et al.  A small-gain theorem with applications to input/output systems, incremental stability, detectability, and interconnections , 2001, J. Frankl. Inst..

[4]  Irwin W. Sandberg The recovery of distorted bandlimited almost-periodic signals , 2001, ISCAS 2001. The 2001 IEEE International Symposium on Circuits and Systems (Cat. No.01CH37196).

[5]  M. Vidyasagar Beyond H∞-design: robustness, disturbance rejection and Aizerman-Kalman type conjectures in general signal spaces , 2000 .

[6]  H. Marquez An input-output approach to systems described using multiple models , 2000 .

[7]  Designing periodically driven varactor circuits with guaranteed stability , 1999 .

[8]  I. W. Sandberg,et al.  Bell Labs in the 60's and input-output stability , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

[9]  O. Konig Weak L/sub 2/-stability , 1995 .

[10]  H. Marquez,et al.  L/sub 2/-stability conditions for uncertain systems using noncausal multipliers , 1995 .

[11]  H. Bourles,et al.  A local small gain theorem for discrete-time systems , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[12]  Irwin W. Sandberg A note on the PQ theorem and the extrapolation of signals , 1993, IEEE Trans. Signal Process..

[13]  I. W. Sandberg,et al.  Steady-state errors in nonlinear control systems , 1992 .

[14]  Jan P. Allebach,et al.  Iterative reconstruction of bandlimited images from nonuniformly spaced samples , 1987 .

[15]  Yuzo Ohta Nonlinear Accretive Mappings in Banach Spaces: The Solvability and a Solution Algorithm , 1979 .

[16]  R. Wiley,et al.  Recovery of Bandlimited Signals from Unequally Spaced Samples , 1978, IEEE Trans. Commun..

[17]  H. Schwarzlander,et al.  Demodulation Procedure for Very Wide-Band FM , 1977, IEEE Trans. Commun..

[18]  D.L. Elliott,et al.  Feedback systems: Input-output properties , 1976, Proceedings of the IEEE.

[19]  Constantin Corduneanu,et al.  Integral Equations and Stability of Feedback Systems , 1973 .

[20]  R. Saeks,et al.  The analysis of feedback systems , 1972 .

[21]  J. Holtzman Nonlinear system theory , 1970 .

[22]  Richard K Miller,et al.  Nonlinear Volterra Integral Equations , 1970 .

[23]  P. Falb,et al.  Stability Conditions for Systems with Monotone and Slope-Restricted Nonlinearities , 1968 .

[24]  I. Sandberg,et al.  An upper bound on the nonlinear distortion of periodic signals , 1966 .

[25]  J. Katzenelson,et al.  An Iterative Method for Solution of Networks of Nonlinear Monotone Resistors , 1966 .

[26]  G. Zames On the input-output stability of time-varying nonlinear feedback systems--Part II: Conditions involving circles in the frequency plane and sector nonlinearities , 1966 .

[27]  Austin Blaquière,et al.  Nonlinear System Analysis , 1966 .

[28]  I. Sandberg Some results on the theory of physical systems governed by nonlinear functional equations , 1965 .

[29]  I. W. Sandberg,et al.  On the boundedness of solutions of nonlinear integral equations , 1965 .

[30]  I. Sandberg A Stability Criterion for Linear Networks Containing Time-Varying Capacitors , 1965 .

[31]  R. W. Brockett,et al.  On the Stability of Nonlinear Feedback Systems , 1964, IEEE Transactions on Applications and Industry.

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

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

[34]  I. W. Sandberg,et al.  On the Stability of Solutions of Linear Differential Equations with Periodic Coefficients , 1964 .

[35]  I. W. Sandberg On the response of nonlinear control systems to periodic input signals , 1964 .

[36]  Esam Shafiq Ibrahim STABILITY OF NONLINEAR FEEDBACK SYSTEMS , 1964 .

[37]  I. W. Sandberg,et al.  Signal distortion in nonlinear feedback systems , 1963 .

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

[39]  J. Bongiorno,et al.  An extension of the Nyquist-Barkhausen stability criterion to linear lumped-parameter systems with time-varying elements , 1963 .

[40]  W. L. Miranker,et al.  The recovery of distorted band-limited signals , 1961 .

[41]  H. Landau On the recovery of a band-limited signal, after instantaneous companding and subsequent band limiting , 1960 .

[42]  H. Eggleston,et al.  Elements of the theory of functions , 1952 .