Stability of state space model

1. How do you determine the stability of a state space model?
2. What are the limitations of state space model?
3. What is stability state?
4. What do eigenvalues tell us about stability?

How do you determine the stability of a state space model?

The process is stable if after a period of time, the variables return to the steady-state values. This means that the state variables, since they are deviation variables, return to zero. Numerically, we can determine the stability of a state space model by finding the eigenvalues of the state space A matrix.

What are the limitations of state space model?

One of the main drawbacks of state space methods is the so-called state explosion problem. For many systems, the state space becomes so large that it cannot be fully constructed. In practice, our present state space tool supports state spaces with up to half a million nodes and one million arcs.

What is stability state?

A state or condition in which a system will remain unless or until it is disturbed by some outside force.

What do eigenvalues tell us about stability?

Eigenvalues can be used to determine whether a fixed point (also known as an equilibrium point) is stable or unstable. A stable fixed point is such that a system can be initially disturbed around its fixed point yet eventually return to its original location and remain there.