Hi guys. I have two questions:
firstly : I wanna solve and inequal in matlab and I write below code:
clear all;
clc;
close all;
syms x1 x2 x3 x4
cond1=x1>36;
cond2=x2>8.5;
cond3=x3>0.05;
cond4=x4>2.2;
cond5=(x1*(-0.38*x1+0.04*x2-2.4*x3-0.028*x4))+(x2*(0.1*x1-0.01*x2+x3+0.011*x4)+(x3*(-0.06*x1+0.007*x2-0.742*x3-0.0065*x4)+x4*(-0.029*x1-0.028*x2-0.255*x3-0.086*x4)<=-10*(.5)*(x1.^2+x2.^2+x3.^2+x4.^2);
conds=[cond1 cond2 cond3 cond4 cond5];
sol=solve(conds,[x y],'ReturnConditions',true);
sol.x1
sol.x2
sol.x3
sol.x4
sol.x5
sol.parameters
sol.conditions
but it gives me this error:
Error: File: inequation.m Line: 14 Column: 193
Invalid expression. When calling a function or indexing a variable, use parentheses. Otherwise, check for mismatched delimiters.
And my another questions is that assume that I want to solve 2 inequalities with a common unknown states besides other conds and I reach to the result of unknown state. For example in above problem, assum that this problem is the first problem in inequality in the right of it, instead of -10 I put an unknow state (K), and the second problem is like the first problem but I the limit for each of x1,x2,x3,x4 is as below
x1>30; x2>8;
x3>-9;
x4>4.5;
cond5=(x1*(-0.6988*x1+0.0518*x2-0.57*x3+0.0026*x4)+(x2*(0.32*x1-0.029*x2-0.4459*x3-0.0005*x4)+x3*(-0.2754*x1+0.0248*x2-0.3921*x3+0.0004*x4)+(x4*(0.003*x1-0.0012*x2+0.0003*x3-0.0833*x4))<=-K*(.5*x1.^2+x2.^2+x3.^2+x4.^2)
now how can I solve it and reach K?
