Physical and Mathematical Mechanisms of Instability in Nonlinear Automatic Control Systems

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Abstract
This paper is a critical examination of the stability problem in automatic control systems containing nonlinear elements. An attempt is made to classify and isolate essentially different phenomena, and to illustrate each type by means of simplified but representative examples. Particular attention is paid to the effects of system parameters and system inputs in provoking or destroying instability. The phenomena discussed are so diverse that they defy any over-all conclusions. Still, it is hoped that the tentative classification adopted here will be of help in recognizing important and unimportant aspects of problems in nonlinear control-system design.

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