The state transition matrix is a mathematical representation used in control theory to describe the evolution of a dynamic system's state over time. It captures how the current state of a system influences its future state and is critical for understanding state-space representation, feedback control, and discrete-time systems. This matrix plays a key role in predicting the behavior of a system by relating the state at one time to the state at a subsequent time through linear transformations.
congrats on reading the definition of State Transition Matrix. now let's actually learn it.