Stability Theory

Stability Theory studies how systems respond to changes or disturbances. In various fields, such as physics, engineering, and economics, it helps us understand whether a system will return to its original state after a disturbance or if it will shift to a new state. A stable system resists changes and remains balanced, while an unstable one may experience drastic changes or fail. For example, consider a balanced pencil on your finger: if it stays upright, it’s stable; if it falls, it’s unstable. This theory is crucial for designing reliable systems and predicting their behavior in real-world situations.