Journal ArticleDOI
Functional Analysis Applied to Nonlinear Feedback Systems
TLDR
An operator theory is outlined for the general, nonlinear, feedback loop and it is shown that feedback reduces distortion for band-limited inputs and an iteration whose rate of convergence is optimized is derived.Abstract:
An operator theory is outlined for the general, nonlinear, feedback loop. Methods for bounding system responses and investigating stability are introduced. An iterative expansion of the feedback loop, valid for large nonlinearities and unstable systems, is derived. The theory is applied to the study of nonlinear distortion in a class of amplifiers; it is shown that feedback reduces distortion for band-limited inputs. A model of the distortion is obtained, shown to be stable, and an iteration whose rate of convergence is optimized is derived.read more
Citations
More filters
Journal ArticleDOI
Feedback and optimal sensitivity: Model reference transformations, multiplicative seminorms, and approximate inverses
TL;DR: In this article, the problem of sensitivity reduction by feedback is formulated as an optimization problem and separated from the problems of stabilization, and the feedback schemes obtainable from a given plant are parameterized.
Journal ArticleDOI
On the input-output stability of time-varying nonlinear feedback systems Part one: Conditions derived using concepts of loop gain, conicity, and positivity
TL;DR: In this article, the authors outline a stability theory for input-output problems using functional methods and derive open loop conditions for the boundedness and continuity of feedback systems, without, at the beginning, placing restrictions on linearity or time invariance.
Book
Robust Control: The Parametric Approach
TL;DR: This theory allows us to determine if a linear time invariant control system, containing several uncertain real parameters remains stable as the parameters vary over a set and nicely complements the optimal theories as well as Classical Control and considerably extends the range of possibilities available to the control specialist.
Journal ArticleDOI
Robust Control: The Parametric Approach
TL;DR: The development of a new coarse in the control curriculum dealing with the control of systems subject to parametric uncertainty is presented, rich in theoretical content, easy to motivate from a practical standpoint and requires just the right level of mathematics to be taught as a fundamental discipline to engineers and scientists.
Identification of Nonlinear Systems- A Survey
TL;DR: A survey of nonlinear system identification algorithms and related topics is presented by extracting significant results from the literature and presenting these in an organised and systematic way as discussed by the authors, where the limitations, relationships and applicability of the methods are discussed throughout.
References
More filters
Book
Nonlinear Problems in Random Theory
Norbert Wiener,T. Teichmann +1 more
TL;DR: A series of lectures on the role of nonlinear processes in physics, mathematics, electrical engineering, physiology, and communication theory was given in this article, where the last few of these were devoted to the application of my ideas to problems in the statistical mechanics of gases.
Continuous nonlinear systems
TL;DR: In this paper, a thesis submitted to M.I.T. Dept. of Electrical Engineering, July 24, 1959, is described, based on which the following paper is presented: