Infinity norm of transfer function

1. What is infinity norm of a transfer function?
2. What is infinite norm?
3. How do you find the H infinity norm of a transfer function?

What is infinity norm of a transfer function?

The infinity norm is the peak gain of the frequency response, that is, where denotes the largest singular value of a matrix. The discrete-time counterpart is. Usage. norm(sys) or norm(sys,2) both return the norm of the TF, SS, or ZPK model sys .

What is infinite norm?

Definition 1.2.

The infinity norm simply measures how large the vector is by the magnitude of its largest entry.

How do you find the H infinity norm of a transfer function?

We can compute the transfer function H(s) by using the formula for block matrix inverse, [sI−A0−CTCsI+AT]−1=[(sI−A)−10(sI+AT)−1CTC(sI−A)−1(sI+AT)−1]. Hence, H(s)=[0BT][(sI−A)−10(sI+AT)−1CTC(sI−A)−1(sI+AT)−1][B0]+I=BT(sI+AT)−1CTC(sI−A)−1B+I.