其实cvx工具箱中有很多专属的数学运算表达式,例如关于变量的次方符号(^)是不允许的,需要替换为pow_pos(x,n)。下面列出一些常见的替换表达式: 1.平方/次方表达式2.矩阵范数、log函数3.cvx除法(cvx最麻烦、最容易出错的表达式)4.其他小技巧七、常见错误
CVX中变量的平方处理(次数大于等于2),比如x^2用pow_pos(x,2)代表,x^3.5用pow_pos(x,3.5)表示,非变量就无所谓。 行笔至此,那就展开说说,很多简单的东西,CVX里不好表示,要用各种函数去替换。暂时不想看可跳到后面,有需要再回来看。 1.inv_pos()—正数的倒数 inv_pos(x)是一个原子函数,用于求一个正...
目标函数代码是 maximize(log(pow_pos(1 + C * inv_pos(B + sum(x)), B + sum(x)))报错信...
for ii=1:para.T pow_pos(norm(traj(ii, :)-para.place_user(1:2)),2)... +6400-(1+4/para.alpha)*v0(ii)^(-4/para.alpha)+... (4/para.alpha)*(v0(ii)^(-4/para.alpha-1))*v(ii)<=0; end for ii=1:para.T pow_pos(norm(traj(ii+1,:)-traj(ii, :)),2)<=para.Vmax...
‡pow_pos(x,p) \(\max\{x,0\}^p\)for\(x\in\mathbf{R}\)and\(p\geq 1\). Convex and nondecreasing. ‡pow_p(x,p) for\(x\in\mathbf{R}\)and real constant\(p\), computes nonnegative convex and concave branches of the power function: ...
minimize(square_pos(norm(y-A*x,2)))随便乘方不能保证凸性，可以用内置函数square_pos()代替^2
‡pow_pos(x,p) \max\{x,0\}^pforx\in\mathbf{R}andp\geq 1. Convex and nondecreasing. ‡pow_p(x,p) forx\in\mathbf{R}and real constantp, computes nonnegative convex and concave branches of the power function: \begin{array}{ccl} p\leq 0 & f_p(x) \triangleq \begin{cases}...
Error using cvx/pow_cvx (line 144) Disciplined convex programming error: Illegal operation: pow_p( {convex}, {-1} ) Error in cvx/inv_pos (line 5) y = pow_cvx( x, -1, ‘pow_p’ ); Error in my_test1 (line 76) ...
是⼀个关于x的凸函数,但是其凸性质⽆法通过CVX规则的验证,因此会被拒绝。(但是,其可以被表⽰为pow_p(x,3/2))。我们将其称 之为⾮乘积规则,⽽且密切关注这个规则可以⼤⼤确保您所构建的表达式被验证通过。 5.5、函数 在CVX中,函数被分类为两种属性:曲率(常量,仿射,凸或者凹)和单调性(⾮递减,...
(x)happens to be a convex function ofx, but its convexity cannot be verified using the CVX ruleset, and so is rejected. (It can be expressed aspow_p(x,3/2), however.) We call this theno-product rule, and paying close attention to it will go a long way to insuring that the ...