Routh–Hurwitz stability criterion

The Routh–Hurwitz stability criterion is a way to check if a system, like a machine with moving parts, is stable or not. It tells you whether the machine is going to break down or not. It does this by checking if the different parts of the system are working together properly, so the machine can keep running. To check the system, you need to draw a table with numbers and then add and subtract them to see if the system is stable or not. If the numbers in the table end up being all positive, then the system is stable!