Indicating the onset of instability on a graph

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The discussion revolves around the challenge of indicating the onset of instability on a graph when the system is perceived as stable. Participants question how to mark instability if it is not present in the system. The conversation highlights a logical inconsistency in identifying instability without evidence of it occurring. Ultimately, the inability to indicate instability stems from the system's stable nature. Clarity on the conditions that define instability is essential for accurate representation on the graph.
Pietair
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Good day,

Homework Statement


Indicate on the graph the onset of instability.

The graph:

ClosedloopKp.jpg


I really have no idea how I can indicate the onset of instability on such a graph.

Thanks in advance!
 
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Why do you think your system is unstable?
 
It isn't, that's the reason I really don't know how to indicate the onset of instability on that graph...
 
Well then there's your answer... If it's not unstable, how can you indicate the point where it becomes unstable?
 
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