# state-space model

• Sep 7th 2009, 09:26 PM
corleone2463
state-space model
hello everybody
i was trying to study state space model and naturally there were state variables involved ...so isaw its defination at wikipedia ..i understood the discrete one ..but in continous one he said that the derivative of the function is the next state of the sytem ..so how is that ..i mean i didnt understand how is derivative the next state of the system ...thankyou in advance to all who contribute
• Sep 7th 2009, 10:33 PM
CaptainBlack
Quote:

Originally Posted by corleone2463
hello everybody
i was trying to study state space model and naturally there were state variables involved ...so isaw its defination at wikipedia ..i understood the discrete one ..but in continous one he said that the derivative of the function is the next state of the sytem ..so how is that ..i mean i didnt understand how is derivative the next state of the system ...thankyou in advance to all who contribute

Please be more specific, there are a number of thinks know as state space models. As you are posting in the calculus forum I will assume you mean modelling using differential equations, in which case see here.

CB
• Sep 12th 2009, 05:48 AM
corleone2463
i dont know much about state space models ....i am talkin about the one on wikipedia...the link is..http://en.wikipedia.org/wiki/State_variable..at the end of this page he has discussed the continous system...thats what im talking about
• Sep 12th 2009, 05:57 AM
CaptainBlack
Quote:

Originally Posted by corleone2463
i dont know much about state space models ....i am talkin about the one on wikipedia...the link is..http://en.wikipedia.org/wiki/State_variable..at the end of this page he has discussed the continous system...thats what im talking about

That link cannot be followed because it has been shortened and not does not go to whatever article you want it to.

CB
• Sep 12th 2009, 06:24 AM
corleone2463
• Sep 12th 2009, 10:32 AM
CaptainBlack
Quote:

Originally Posted by corleone2463
hello everybody
i was trying to study state space model and naturally there were state variables involved ...so isaw its defination at wikipedia ..i understood the discrete one ..but in continous one he said that the derivative of the function is the next state of the sytem ..so how is that ..i mean i didnt understand how is derivative the next state of the system ...thankyou in advance to all who contribute

The derivative is not the next state of the system, there is no next state, the derivative of the state vector determines how the state evolves.

CB
• Sep 14th 2009, 07:05 AM
corleone2463
well he has written there that it describes the next state ...so u mean it basically tells how the state is varying
• Sep 14th 2009, 07:42 AM
CaptainBlack
Quote:

Originally Posted by corleone2463
well he has written there that it describes the next state ...so u mean it basically tells how the state is varying

As there is no next state in continuous system, what else can it be there to tell you other than how the state changes over "infinitesimal" intervals of time.

CB