Operation and quality requirements as process space metrics
Many of what we have stated so far ultimately referred to the questions of system design and operation. It follows from the foregoing that this operation, the congruity in terms of stability and definable aspects, and robustness are in essence metrical characteristics measured in the given spaces. In this sense, stability can also be regarded as the limit of finiteness integrated to the entire operation period and the limit value of other coordinates of the process. Our task is therefore to find the representations (i.e. space definitions) where these metrics are easy to physically detect and are comfortable to work with from an information technology aspect. Thus, the task depends both on the real nature of the problem and on the practicable properties and convenience of our computational algorithms. An instance of such property is convergence.
These considerations have led to state space representations and calculations in the Hardy spaces.