Abstract In this paper, we establish the second-order differential equation system with the feedback controls for solving the problem of convex programming. Using Lagrange function and projection ...

Second-order optimality conditions for finite-dimensional smooth and nonsmooth nonlinear programming are obtained by a new method that emphasizes a close connection with geometrical approximation of ...

This paper proposes a second-order cone programming (SOCP) based AC-OPF model for three-phase radial power distribution networks. Mutual coupling effects are generally ignored in the existing ...

The first post (What is convex optimization？common constraints and objectives) introduced several basic cones supported in a conic optimization solver: zero cone, nonnegative cone, second-order cone, ...

The theory presented in Part I of this paper led to a Basic Parametric Procedure for a broad class of strictly concave parametric programs. In this part, additional theory is developed that ...