However, the main value of this structure is its theoretical insight as it enables one to prove the other results, for instance, on the minimal realization
, and is completely new even for time-invariant systems.
Here, the first step after choosing the appropriate linear model is to find the minimal realization of the estimated system.
Minimal realization of the system which does not affect the frequency response characteristics is obtained by an order 9 system.
A frequent feature of numerical partial and ordinary differential equations, numerical solutions of convolution-type integral equations, stationary retrogressive time series in statistics, minimal realization
problems in control theory, system identification problems in signal process, and image restoration problems, Toplitz systems are important to mathematics, computing and engineering.
A simple reduction to determine a minimal realization of the system is introduced.
Thus, deleting these rows and columns yields the minimal realization of the gasifier system.