Process Control and Instrumentation
In a closed loop system, the process to be controlled is an integrating process with transfer function l/2s. The controller proposed to be used in an integral controller with transfer function 1/T₁s. When a step change in set point is applied to such a closed loop system, the controlled variable will exhibit

Overdamped response
Unstable response
Undamped response
Underdamped response

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Process Control and Instrumentation
Routh test

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

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