showing passivity by dot product

P

Thread Starter

parsa

Hi everyone

suppose we have a dynamical system

MY(dot)+KY=U

that M and K are symmetric positive definite matrices.
I want to show that this system is passive by the fact that if T is passive then <x,Tx> > 0

I know how to show this with classical control but i need a proof like this.

I used this theorem in my paper which i want to publish it very soon but i want to know how to prove it.

i know i should drive the transfer func and then transform it to time domain. but don't know what else.
 
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