## Linearise differential equation...

Dear all,

I have to differential equations that I'd like to linearise, that is all higher order (>1) derivatives (like diff(uu[0],x\$2)) and parameters (like beta^2) and the products of any derivatives with the parameters uu[0] and beta are zero (as they are assumed small).

The two equations considered are displayed below:

Up to now, I perform a very tedious substitution which is based on looking at the equations above and decide which terms I want to get rid of. Something like this, where K =1:KFBCLin:=simplify(eval(KFBC, [beta^3 = 0, beta^2 = 0,
seq(subs((diff(uu[n], x\$3)) = 0),n=0..K),
seq(subs((diff(uu[n], x\$2)) = 0),n=0..K),
seq(subs((diff(uu[n], t))*beta = 0),n=0..K),
seq(subs((diff(uu[n], x))^2 = 0),n=0..K),
seq(subs(g*diff(beta, x)*beta = 0),n=0..K),
seq(subs((d^2*diff(uu[n], x,t)*diff(beta,x)=0)),n=0..K),
seq(subs(-2*d*diff(uu[n], x,t)*beta*diff(beta,x)=0),n=0..K),
seq(subs((d^2*diff(uu[n], x\$2,t)*beta=0)),n=0..K),
seq(subs((diff(uu[n], x)*uu[n])=0),n=0..K),
seq(subs((diff(uu[n], x)*uu[n]*beta)=0),n=0..K),
seq(subs((diff(uu[n], x)*uu[n]*d)=0),n=0..K),
seq(subs((diff(beta, x)*uu[n])=0),n=0..K),
seq(subs((diff(uu[n], x)*beta)=0),n=0..K)]));As there is a lack of automatisation, this procedure is not very helpful. Life would be easier if there was a command (or the like) that says "get rid of higher order derivatives".Any help is appreciated.Best regards,

## Linearization tool in API...

The code behind "Linearize" button in the Linearization template is as follows:

The results, namely A,B,C,D matrices in the state-space presentation, are shown in the text area "mcEqs".

How can I save these matrices to some variables for further analysis?

In addition, without the linearization template,

## How to conventionally build/generate msys system o...

Hello all,

I'll be straight-forward.

I have Maple 15+MapleSim 5. I don't have Control Design Toolbox. I want to embed a linearized system object as an msys file into MapleSim.

The Linearization template failed to create the file. I tried to use the codes in the template directly as code in Maple, but also failed. Seemingly because I don't have Control Design Toolbox in which the code need to load.

I have been googling around with no avail. I...

## Linearize and extract the linear matrix solution...

Hey,

I have linearized the following system and I want to extract the linear matrices (a,b,c,d) form the solution. The program is as follows:

## Extract linear matrices from StateSpace...

Hey,

I am trying to linearize a Statespace and extract the linear matrices from the solution. Using following example, can you explain how to extract the matrices a,b,c,d.

## Command to Linearize an PDE non-linear...

Is there any command in Maple 15 to linearize an PDE non-linear? Or or there is a package or help file to do so?

I'm handling with Non-linear PDEs in my work and I would like to solve them by these methods.

Thank You

Washington Inacio

## Equations of motion to state space...

Hello:

I am in need of help with Maple Linearize and an exremely crypitc and most un-helpful error message. What does this mean:

> linmod := Linearize(syss, parm, linp);
Error, invalid input: Linearize uses a 4th argument, linpoint (of type {list(`=`), set(`=`)}), which is missing

I can find nothing in the help in this.

Linearize works fine when running a sample program from the help files, but fails when I run my equations.

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