Old spec 3.4 example, pole of a first order system (ENGR5001) - Revisica

Old spec 3.4 example, pole of a first order systemTutorialOld spec ENGR202Third3 min

ENGR202 (old spec) Control 3.4 Poles, Zeros and Stability, first order example (slide 14)

Find the Transfer Function, characteristic equation and pole of the system below, and determine its stability. $10\frac{dx}{dt} + x = u$

Formulas you may need

Characteristic equation: denominator of the Transfer Function $= 0$ ; its roots are the poles (learn this)
Stable if all poles have negative real parts (learn this)

pole =

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