in control theory, there exists a mathematical model of a control loop, called the state-space model. It allows for the computation of a state vector $x$ at discrete time $k$. For the computation, it requires knowledge of the previous state vector at $k-1$ only.
So, I wonder: Is it correct to say the state-space model has the Markov property? Markov property is also called memoryless property, but it is defined in the context of probability distributions. So I am not sure if my statement is valid.