Hey Guys!
So I'm in the middle of a modelling assignment, and have to perform an inverse-laplace transformation on the following expression:
(4.1567898247199520341942099474821e+54*Ua)/(s*(100229224846904105411357376442422.0*s^6 + 5.9483485126126760990974540409349e+35*s^5 + 5.0239631343165245308229429056249e+40*s^4 + 2.9725399793555455758222675933522e+44*s^3 + 1.0212281680153877722127895364433e+48*s^2 + 5.6753104089399036705416819827312e+51*s + 1.0269914923230344802781707591666e+54))My problem is that this returns a sum of exponential functions containing complex numbers, as below
4.0475406620140304336968591117778*Ua + 0.048633477607650367346402317141675*Ua*exp(-5720.286485024099496269401688463*t) - 4.1776273848702626395266209427561*Ua*exp(-186.91307534353595311970441088345*t) - Ua*exp(t*(- 1.3058525120961962405107425874867 - 21910.096393659412026550844582755i))*(0.00018263285547812810287333894168844 - 0.000049523771938216719441312262428056i) - Ua*exp(t*(- 1.3058525120961962405107425874867 + 21910.096393659412026550844582755i))*(0.00018263285547812810287333894168844 + 0.000049523771938216719441312262428056i) + Ua*exp(t*(- 12.466668994798763511731927336948 - 4467.9831446674244095221560260197i))*(0.040909255479769047344553095860047 - 0.056379618619562305355740635447079i) + Ua*exp(t*(- 12.466668994798763511731927336948 + 4467.9831446674244095221560260197i))*(0.040909255479769047344553095860047 + 0.056379618619562305355740635447079i)Now, as you can see, the parts that have complexes in it are complex conjugates and therefore the imaginary parts could be eliminated – meaning that this expression simplifies into a real expression. My problem is that I just can't get matlab into doing this simplification.
What I have tried so far:
rewrite('sincos'), simplify('Criterion','preferReal'), but I still couldn't eliminate the imaginary parts.
Thank you for your thoughts!
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