Process Control and Instrumentation
Routh test

Criterion provides information about the actual location of roots
Cannot be used to test the stability of a control system containing transportation lag
Criterion is not applicable to systems with polynomial characteristic equation
Can not determine as to how many roots of the characteristics equation have positive real roots

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Process Control and Instrumentation
The characteristic equation for the control system with a closed loop transfer function G₁/1 + G₂ is given by 1 + G₂ = 0. The characteristic equation for the control system

Determines its stability
All of these
Is the same for set point or load changes
Depends only upon the open loop transfer function

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