How to solve Riccati equation for nonlinear system

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How to find matix K (Riccati equatin) <<<<<< pleas help me
 
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i need help please
 
abdooo89 said:
i need help please

Can you post more of the original assignment? It's not very clear what the meanings of the various terms in your post are.
 
Last edited:
i need only matrix K for a given matrices
the riccati equation is
A'K-KA-Q+KBR-1 B'K=0

image.png
 
the problem in this system is non-linearity that is why the riccati equation is hard to solve
 

Thread 'Prove that the integral is equal to ##\pi^2/8##'

Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
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