Integral of exponential matrix

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Federico Celi
Federico Celi 2020-6-19
评论： Vince Toonen 2022-12-11
I am looking into integrating a function of the form
where M is a square matrix. It can either be symbolic or not (t is given at the time of computation).
How should I set up the code? I am using expm to compute the exponent, but the integral gives me an error in the multiplication: Matrix dimensions must agree.
M = [1 2; 3 4];
tf = 1;
Qk=integral(@(t) expm(M.*t),0,tf);
I am aware that a similar question was asked here, but I still can't understand the issue.
Thank you!

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回答（1 个）

Steven Lord
Steven Lord 2020-6-19
Tell MATLAB your integrand doesn't return a vector the same size as the input but should be called with a scalar and will return an array.
Qk=integral(@(t) expm(M.*t),0,tf, 'ArrayValued', true);
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Vince Toonen
Vince Toonen 2022-12-11
Thanks you so much man, I had exactly the same question.

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