Control Systems
Number of sign changes in the entries in 1st column of Routh array denotes the no. of

 roots of characteristic polynomial in RHP.
 open loop poles in RHP.
 open loop zeroes in RHP.
 zeroes of system in RHP.

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Control Systems
When deriving the transfer function of linear element

 initial conditions are assumed to be zero and the element is assumed to be not loaded.
 initial conditions are taken into account but the element is assumed to be not loaded.
 both initial conditions and loading are taken into account.
 initial conditions are assumed to be zero but loading is taken into account.

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