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...
‡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: ...
pow_pos(norm(traj(ii+1,:)-traj(ii, :)),2)<=para.Vmax^2; end traj(1, :)==para.UAV_start(1:2); traj(para.T+1, :)==para.UAV_end(1:2); cvx_end addition = ones(para.T+1,1)*80; traj = [traj,addition]; rate=sum(avg_rate)/para.T; ...
=0和∞,对应的是函数1/x的凸部分。CVX将该函数识别为凸且⾮递增的函数。在CVX中,您可以使⽤-inv_pos(-x)来表⽰函数1/x 的凹部分,其中x为负,⽽且该函数可以被CVX正确地识别为凹且⾮递增的函数。 对于带有多个参数的函数,曲率被联合考虑,但是单调性还是针对⼀个个参数分别考虑。举个例⼦,函数...
‡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}...
functioninv_pos(x), defined as\(1/x\)for\(x>0\)and\(\infty\)otherwise, for the convex portion of\(1/x\); CVX recognizes this function as convex and nonincreasing. In CVX, you can express the concave portion of\(1/x\), where\(x\)is negative, using-inv_pos(-x), which will...
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
and the constraints are just linear inequality constraints. It’ a convex problem. I am having quite some trouble to implement this function. The error I get is “Cannot perform the operation {convex}{convex}”. I wrote it as below, for n=1:N E(1,n)=pow_pos(norm(a(:,n)),3) +...