# stability criterion

## stability criterion

[stə′bil·əd·ē krī‚tir·ē·ən]
(control systems)
A condition which is necessary and sufficient for a system to be stable, such as the Nyquist criterion, or the condition that poles of the system's overall transmittance lie in the left half of the complex-frequency plane.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
In particular, he examines frequency domain techniques for analyzing the stability of linear time-invariant (LTI) systems, partly because he can explain them easily using the tools of graduate-level classical control for systems without delays-that is in terms of eigenvalues, pole placement, complex analysis, root locus, and Nyquist stability criterion. He says this book would be a good starting point to readers new to the field.
Therefore, the impedance ratio [T.sub.m] = [Z.sub.g] / [Z.sub.s] can be regarded as stability criterion of the grid-connected system.
The revenue stability criterion implies that during the entire observation period (3, 4 or 5 years) the company's revenue does not fluctuate by more than r % year-on-year.
The stability of the closed-loop system, under the influence of the adaptive fuzzy controller, is rigorously analyzed based on the fractional Lyapunov stability criterion. Furthermore, fractional adaptation laws are established to update the fuzzy parameters.
Different from some existing works, Jensen's inequality is used to tackle the integral items of the derivative of Lyapunov-Krasovskii; a more relaxed [H.sub.[infinity]] performance stability criterion is derived.
Therefore, it is meaningful to obtain less conservative stability criterion by combining the delay-dividing approach and integral inequality.
Criterion 2 (the clade stability criterion) is not met by the proposed name change; for example, subcriteria v: (support by independent data sets, including morphological and other characters) and vi: (support by independent analytical methods when applied to different data-sets) have not been explored.
Lee, "A new stability criterion for bidirectional associative memory neural networks of neutral-type", Applied Mathematics and Computation, vol.
Due to the changes of conditions, we have to formulate new contraction mapping to derive new LMI-based exponential stability criterion for Takagi-Sugeno (T-S) fuzzy impulsive CGNNs with discrete and distributed delays.
In this paper, Lyapunov functional method is employed to derive the stability criterion. In this process, the integral middle value theorem together with the derivation formula on integral upper limit functions plays the important roles.
Trinh, "An enhanced stability criterion for time-delay systems via a new bounding technique," Journal of the Franklin Institute.

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