How can I deal with this object in MATLAB CVX?

1

image

\delta_m^2/T_m can be handled by the quad_over_lin function, but how can I deal with the third part: \delta_m^3/T_m^2, while delta_m (delta_m = |q_{m+1}-q_m|) is convex and T_m is affine? Thank you~

2

Assume you have

x,z,t \geq 0

and

z \leq (txx)^{1/3} = \mbox{geometricmean}(t,x,x)

then that implies

\frac{z^3}{x^2} \leq t.

There is a geometric mean function in cvx.

3

Thank you very much, your answer is beneficial.