As I understand that for differentiable and monotone functions we can partition the period and find the total variation, but what about the case when it's not differentiable ?
For example in this article http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=1083433 the authors have essentially mentioned the total variation of signum type function is 4 . But how is it done ? In general it looks to be 2.
Thank you for your reply. I thought on the same lines as you have suggested. But I have one confusion about an example in the article link I have mentioned. ( http://ieeexplore.ieee.org/xpl/articleDetails.jsp?reload=true&arnumber=1083433 the last example if you have access to it ) . It seems there is a single jump, still the authors have considered the total variation as 4.
http://ieeexplore.ieee.org/xpl/articleDetails.jsp?reload=true&arnumber=1083433
- Badges
- Science topic
- Similar topics
- Engineering
- Control Theory