From an analog system K, digital systems Kdand Kbtare often obtained via the step-invariant and bilinear transformations, respectively. For the case when K is stable, it is shown that under certain conditions, Kbtconverges to Kdin ℓp-induced norms as the sampling period tends to zero for 1≤p≤∞. Furthermore, Kbtconverges to Kdin the graph metric as the sampling period tends to zero no matter whether K is stable or not.
- ℓ -Induced norms p
- Graph metric
- Sampled-data systems
- Step-invariant transformation
ASJC Scopus subject areas
- Control and Systems Engineering
- Electrical and Electronic Engineering