Theorems of Stability

Theorems of stability are mathematical rules that determine whether a system will return to a steady state after a disturbance. Imagine a boat returning to its original position after being rocked—it’s considered stable. In systems like engineering or economics, these theorems help predict if small changes will die out (stability) or grow (instability). They are essential for designing systems that behave predictably and safely, ensuring that after slight shifts or errors, the system remains controlled and does not spiral out of control.