Indicating the onset of instability on a graph

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    Graph Instability
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Discussion Overview

The discussion revolves around how to indicate the onset of instability on a graph, as part of a homework problem. Participants explore the concept of instability in the context of the provided graph.

Discussion Character

  • Homework-related, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant expresses uncertainty about how to indicate the onset of instability on the graph.
  • Another participant questions the assumption of instability, asking why the system is considered unstable.
  • A different participant clarifies that they do not believe the system is unstable, which contributes to their confusion about indicating instability.
  • One participant suggests that if the system is not unstable, it may not be possible to indicate a point of instability on the graph.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the nature of the system's stability, leading to a lack of agreement on how to indicate instability 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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