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Figure 13 Stability region of FRASA under partial interference with, transmission probabilities 0.6 and topology in Figure 12(a) by Theorem 4., boundary of stability region with link 1 infinitely backlogged, boundary of stability region with link 2 infinitely backlogged, boundary of stability region with link 3 infinitely backlogged, the whole stability region.
Hence, to obtain the boundary of stability region of FRASA under partial interference, we only have to consider the case that only one link is persistent.
The unbalance and re-distribution of active and reactive power in the network may force the system variables to vary beyond the boundary of stability.
Generally, to study stability of an operator in a complex plane, which is a mapping of another complex variable, the boundary of stability in the original complex plane must be mapped through the operator into the new complex plane.
More specifically, a control system that does not possess proper detection mechanisms of the boundary of stability will by necessity be overly conservative.
We show how the value ϕ0 and the slope −τ of the flame phase at the frequency ω0 affects the boundary of stability, the frequency and amplitude of oscillation, and the phase ϕqp between heat release rate and acoustic pressure.
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reveals boundaries of stability, valid for a class of models and robust against uncertainties in specific models.
It is demonstrated that the boundaries of stability differ significantly depending on the specific kinetic mechanism.
We investigate the amplification factor of the scheme and plot its boundaries of stability regions which give an indication of the stability of the scheme.
reveals boundaries of stability, valid for a class of models and robust against uncertainties in specific models avoids expensive numerical approximation of steady states and can be scaled to high-dimensional models.
Figure 3 The boundaries of stability domains in ab -plane of the networks C 3 ( a, b ) □ C 5 ( a, b ) (black), L 3 ( a, b ) □ C 5 ( a, b ) (blue), C 3 ( a, b ) □ L 5 ( a, b ) (green), L 3 ( a, b ) □ L 5 ( a, b ) (violet).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com