A$.$ Theory

$1.$ In a system with an input and an output, what poles generate the steady$-$state response?

$2.$ In a system with an input and an output, what poles generate the transient response?

$3.$ The imaginary part of a pole generates what part of a response?

$4.$ The real part of a pole generates what part of a response?

$5.$ What is the difference between the natural frequency and the damped frequency of oscillation?

$6.$ If a pole is moved with a constant imaginary part, what will the responses have in common?

$7.$ If a pole is moved with a constant real part, what will the responses have in common?

$8.$ If a pole is moved along a radial line extending from the origin, what will the responses have in common?

$9.$ Name the four components of a block diagram for a linear, time$-$invariant system.

$10.$ Name three basic forms for interconnecting subsystems.

$11.$ For each of the forms in Question $10,$ state $($respectively$)$ how the equivalent transfer function is found.

$12.$ Besides knowing the basic forms as discussed in Questions $10$ and $11,$ what other equivalents must you know in order to perform block diagram reduction?

$13.$ What part of the output response is responsible for determining the stability of a linear system?

$14.$ What happens to the response named in Question $13$ that creates instability?

$15.$ What would happen to a physical system that becomes unstable?

$16.$ Why are marginally stable systems considered unstable under the BIBO definition of stability?

$17.$ Where do system poles have to be to ensure that a system is not unstable?

$18.$ What does the Routh$-$Hurwitz criterion tell us$?$

$19.$ Under what conditions would the Routh$-$Hurwitz criterion easily tell us the actual location of the system's closed$-$loop poles?