Maths.
To know How control system works one should know Laplace transform .
So i was doing it. search Google. wikipedia. the first link is Laplace transform.
Why laplace ?
because its f****** hard to do it in time domain. in time domain one have to do convolution. and normally convolution is hard to do. so what one does --> transfer those idiot time domain equation to another domain((, normally another domain called frequency domain and normally those idiot laplace and Fourier transform called integral transform ))do multiplication ( which is convolution in time domain) and just do inverse laplace transform. stupid as stupid does.
And why the hell someone think it works ?
-- no who says it works. it only work for the function which can converges. (( Converges is the word people use to show that their algorithm or equation rocks which actually don't.)) and one important property of the function that converges is you can divide it in to sum of orthogonal functions. you can say it as spectral factorisation.
And if you do wikipeding over it you come with a name "inner product space" which is actually vector space with inner product..... Don't worry "inner product space" is not a big deal. its just generalise euclidean space. see you never know what you gonna get. in other word we are really far from what we were actually doing. I was doing my control system assignment.
So Bye.
PS. i just came across two new word : Hilbert space ( which is important in quantum mechanics) , sesquilinear form.
So i was doing it. search Google. wikipedia. the first link is Laplace transform.
Why laplace ?
because its f****** hard to do it in time domain. in time domain one have to do convolution. and normally convolution is hard to do. so what one does --> transfer those idiot time domain equation to another domain((, normally another domain called frequency domain and normally those idiot laplace and Fourier transform called integral transform ))do multiplication ( which is convolution in time domain) and just do inverse laplace transform. stupid as stupid does.
And why the hell someone think it works ?
-- no who says it works. it only work for the function which can converges. (( Converges is the word people use to show that their algorithm or equation rocks which actually don't.)) and one important property of the function that converges is you can divide it in to sum of orthogonal functions. you can say it as spectral factorisation.
And if you do wikipeding over it you come with a name "inner product space" which is actually vector space with inner product..... Don't worry "inner product space" is not a big deal. its just generalise euclidean space. see you never know what you gonna get. in other word we are really far from what we were actually doing. I was doing my control system assignment.
So Bye.
PS. i just came across two new word : Hilbert space ( which is important in quantum mechanics) , sesquilinear form.