State space analysis is an advanced method for the investigation of dynamic systems. It relies on the analysis of state variables that are usually vectors comprising a critical system variable, its derivative and optionally additional variables.
The state variable description of a system has the form
y = Hx + ju
x: State of the system (column vector, n elements for an nth order system)
F: n * n system matrix
G: n * 1 input matrix (column matrix)
H: 1 * n output matrix (row matrix)
j: direct transmission term
y: system output
u: system input
An ASIA element can be converted to state variable form with
The state variable form is then
- Franklin GF, Powell JD, Emami-Naeini A. Feedback Control of Dynamic Systems. Delhi: Pearson Education, 2002. ISBN 8178086751
- Dietrich, J. W. Signal Storage in Metabolic Pathways: The ASIA Element. kybernetiknet, Vol. 1, No. 3. (2000), pp. 1-9.