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Formulating trigonometric functions within SOS #252

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jediofgever opened this issue Apr 17, 2022 · 2 comments
Closed

Formulating trigonometric functions within SOS #252

jediofgever opened this issue Apr 17, 2022 · 2 comments

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@jediofgever
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jediofgever commented Apr 17, 2022 •
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Hi,
I am trying to obtain a candidate Lyapunov function for a dynamical system.
However in the state dynamics I have trigonometric functions such as sin and cos.
I wonder whether it is possible to handle this cases while formulating SOS,
I cant see an example of such case and will highly appreciate if you could help.
Thank you.
@blegat
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blegat commented Apr 18, 2022

It is sometimes possible by doing the change of variables sin(a) = x, cos(a) = y and adding x^2 + y^2 == 1 in the domain.

@jediofgever
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Thank you @blegat

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@blegat @jediofgever