Solving Fuzzy Error Matrix Equation based on Runge Kutta Method

Fuzzy error logic represents the object in the real world with (u, x) as <inline-formula><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="M2"><mml:mrow><mml:mfenced close="}" open="{"><mml:mrow><mml:mfenced close="]" open="["><mml:mrow><mml:mi>U</mml:mi><mml:mo>,</mml:mo><mml:mi>S</mml:mi><mml:mfenced><mml:mi>t</mml:mi></mml:mfenced><mml:mo>,</mml:mo><mml:mtext> </mml:mtext><mml:mover><mml:mi>p</mml:mi><mml:mi>r</mml:mi></mml:mover><mml:mo>,</mml:mo><mml:mi>T</mml:mi><mml:mfenced><mml:mi>t</mml:mi></mml:mfenced><mml:mo>,</mml:mo><mml:mi>L</mml:mi><mml:mfenced><mml:mi>t</mml:mi></mml:mfenced></mml:mrow></mml:mfenced><mml:mo>,</mml:mo><mml:mfenced close="]" open="["><mml:mrow><mml:mi>x</mml:mi><mml:mfenced><mml:mi>t</mml:mi></mml:mfenced><mml:mo>=</mml:mo><mml:mi>f</mml:mi><mml:mfenced><mml:mrow><mml:mi>u</mml:mi><mml:mfenced><mml:mi>t</mml:mi></mml:mfenced><mml:mo>,</mml:mo><mml:mi>p</mml:mi></mml:mrow></mml:mfenced><mml:mo>,</mml:mo><mml:mi>G</mml:mi><mml:mi>u</mml:mi><mml:mfenced><mml:mi>t</mml:mi></mml:mfenced></mml:mrow></mml:mfenced></mml:mrow></mml:mfenced></mml:mrow></mml:math></inline-formula>, Fuzzy error transformation matrix can be used to express six transformation methods, such as decomposition, similarity, addition, replacement, destruction and unit transformation. Based on solving equation XA=B and decomposition of p, this paper studies the solution of error matrix equation based on Runge Kutta method, in order to explore the law of error transformation from the perspective of solving matrix equation.