This reminds me of the dynamical systems approach to AI where a system is characterized by a trajectory in state space. There's a lot of work out there, although most of it is at a lower level (e.g., neural activity, robotics control, etc.) than cognition.

https://www.quora.com/Is-there-a-way-to-combine-dynamical-sy...

https://www.amazon.com/Dynamical-Systems-Neuroscience-Excita...