Linear time-invariant (LTI) systems are mathematical models that describe systems whose output response is proportional to the input and remains consistent over time. This means that if the input signal is shifted in time, the output will shift in the same way without changing its shape, indicating the system's linearity and time invariance. LTI systems are fundamental in control theory as they allow for simplified analysis and design using techniques such as state-space representation, frequency response methods, and various control strategies.
congrats on reading the definition of Linear Time-Invariant Systems. now let's actually learn it.