http://www.mapleprimes.com/questions/138617-Linearize-And-Extract-The-Linear-Matrix-Solution en-us 2026 Maplesoft, A Division of Waterloo Maple Inc. Maplesoft Document System Tue, 09 Jun 2026 15:08:24 GMT Tue, 09 Jun 2026 15:08:24 GMT The latest answers and comments added to the Question, Linearize and extract the linear matrix solution http://www.mapleprimes.com/images/mapleprimeswhite.jpg http://www.mapleprimes.com/questions/138617-Linearize-And-Extract-The-Linear-Matrix-Solution http://www.mapleprimes.com/questions/138617-Linearize-And-Extract-The-Linear-Matrix-Solution?ref=Feed:MaplePrimes:Linearize and extract the linear matrix solution:Comments#answer138633 <p>?Linearize returns a sequence of four elements; the DynamicSystems object is the first element in the sequence. Try</p> <pre>PrintSystem(sol2[1]);</pre> <p>&nbsp;</p> <p>&nbsp;</p> <p>?Linearize returns a sequence of four elements; the DynamicSystems object is the first element in the sequence. Try</p> <pre>PrintSystem(sol2[1]);</pre> <p>&nbsp;</p> <p>&nbsp;</p> 138633 Sat, 20 Oct 2012 19:38:19 Z Joe Riel Joe Riel http://www.mapleprimes.com/questions/138617-Linearize-And-Extract-The-Linear-Matrix-Solution?ref=Feed:MaplePrimes:Linearize and extract the linear matrix solution:Comments#comment138704 <pre>Hey Joe,</pre> <pre><br>Thank you, also, do you know how to extract affine terms from a differential equation after linearization?<br><br></pre> <pre>Vanderpol Eqn:</pre> <p><img class="math" src="http://www.mapleprimes.com/MapleImage.ashx?f=0e72a503d8cda67b04bca7adbdaff5ff.gif" alt="diff(x[1](t),t)=x[2](t)"></p> <p><img class="math" src="http://www.mapleprimes.com/MapleImage.ashx?f=5b4d3d431e3e4c36827a50eaec034294.gif" alt="diff(x[2](t),t)=(1-x[1](t)^2)*x[2](t)-x[1](t)"></p> <pre>&nbsp;</pre> <pre>To be precise, I linearized a vanderpol equation at a linear point (without giving equilibrium point), the solution obtained was in differential form. I want to get the output in terms of matrices including affine term.<br>Please note that, I got the statespace of the above eqn by adding 'checkpoint=false' as an optional input to 'linearize' but the solution does not contain the affine term. Is there any way I can get an affine(const) term from the statespace or get the output linear matrices from the differential eqn form?<br><br></pre> <pre>I appreciate your help!</pre> <pre>Hey Joe,</pre> <pre><br>Thank you, also, do you know how to extract affine terms from a differential equation after linearization?<br><br></pre> <pre>Vanderpol Eqn:</pre> <p><img class="math" src="http://www.mapleprimes.com/MapleImage.ashx?f=0e72a503d8cda67b04bca7adbdaff5ff.gif" alt="diff(x[1](t),t)=x[2](t)"></p> <p><img class="math" src="http://www.mapleprimes.com/MapleImage.ashx?f=5b4d3d431e3e4c36827a50eaec034294.gif" alt="diff(x[2](t),t)=(1-x[1](t)^2)*x[2](t)-x[1](t)"></p> <pre>&nbsp;</pre> <pre>To be precise, I linearized a vanderpol equation at a linear point (without giving equilibrium point), the solution obtained was in differential form. I want to get the output in terms of matrices including affine term.<br>Please note that, I got the statespace of the above eqn by adding 'checkpoint=false' as an optional input to 'linearize' but the solution does not contain the affine term. Is there any way I can get an affine(const) term from the statespace or get the output linear matrices from the differential eqn form?<br><br></pre> <pre>I appreciate your help!</pre> 138704 Tue, 23 Oct 2012 04:48:20 Z vineetloya vineetloya