Linear Systems Theory

Linear Systems Theory is a mathematical framework used to analyze and model systems that respond predictably to inputs. These systems follow linear relationships, meaning their output is directly proportional to their input. In practical terms, if you double the input, the output doubles as well. This theory helps in understanding various fields, such as engineering, economics, and physics, where systems can be represented by equations. It allows for the prediction of behavior, stability analysis, and design of controls, making it essential in everything from electronic circuits to economic models and beyond.