SSM State \( S_{t-1} \)
Update
Input t=1
\( U_t \)
Status: Initializing...

Recurrent update step in a State Space Model (SSM). Animation of the equation \( S_t = \bar{A} S_{t-1} + U_t \) unfolding in real-time. The left matrix represents the previous state \( S_{t-1} \) undergoing decay, while the right matrix shows the new input contribution \( U_t \). The center flow indicator highlights the integration process, culminating in the updated state \( S_t \).