SWhat changed
Connects transient decay to winding of the one-round-trip response about +1, explains conditional stability and exposes missing high-frequency assumptions.
Scientific scope
Connects transient decay to winding of the one-round-trip response about +1, explains conditional stability and exposes missing high-frequency assumptions. The exact target is the original linear, constant-gain feedback analysis, not all modern Nyquist generalizations. Its causal network impulse response has the stated bounded-variation and integrability restrictions; the open-loop auxiliary function is analytic in the right half-plane and has the required high-frequency behavior. Original winding is about +1 under its AJ convention, not blindly about modern -1. Net winding and boundary contacts matter; a gain-above-one crossing alone is not sufficient when phase behavior reverses. Stability means a dying small disturbance produces a response that dies out; a sustained oscillator is unstable under this definition. Unlimited-power linearization excludes general nonlinear amplitude stability. Original example 8 explicitly shows that omitting high-frequency decay invalidates the apparent curve conclusion; distributed effects change the curve. The original restricted criterion does not automatically cover unstable open-loop poles, multivariable or nonlinear systems. the account does not independently certify every formula, numerical curve or physical experiment. Later introductory commentary, generalized argument-principle formulations and global engineering adoption are separate.
Evidence
Source-linked, scoped account of the original work. The published scope states the scientific assumptions and remaining verification limits. WRS has not independently certified the full proof, experimental result or system benchmark.
Contributors
- Harry Nyquist · SCIENCE: Original source-listed scientific author of this scoped work; byline does not determine effort fractions.
- H. Nyquist, Regeneration Theory (1932), original article reprinted with permission in publisher-hosted control anthology excerpt
- Wiley, Regeneration Theory: original January 1932 bibliographic record
Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.
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