System

Graph of poles at the same location

Graph of poles at the same location
  1. How do you know if a system is stable from poles?
  2. How stability varies with the location of poles?

How do you know if a system is stable from poles?

If all the poles lie in the left half of the s-plane, then the system is stable. If the system has two or more poles in the same location on the imaginary axis, then the system is unstable. If the system has one or more non-repeated poles on the imaginary axis, then the system is marginally stable.

How stability varies with the location of poles?

When the poles of the closed-loop transfer function of a given system are located in the right-half of the S-plane (RHP), the system becomes unstable. When the poles of the system are located in the left-half plane (LHP) and the system is not improper, the system is shown to be stable.

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