Abstract In his 1963 PhD thesis, Wilson proposed the first sequential quadratic programming
(SQP) method for the solution of constrained nonlinear optimization problems. In the …

In this paper we consider finding a second-order stationary point (SOSP) of nonconvex
equality constrained optimization when a nearly feasible point is known. In particular, we first …

This paper investigates a Lagrangian dual problem for solving the optimal power flow
problem in rectangular form that arises from power system analysis. If strong duality does not …

For periodic gait optimization problem of the bipedal walking robot, a class of global and
feasible sequential quadratic programming algorithm (FSQPA) is proposed based on …

Abstract The Optimal Reactive Power Flow (ORPF) problem has been used as an important
computational tool for power system planning and operation. Its mixed-discrete version …

The alternating current optimal power flow (AC-OPF) problem is critical to power system
operations and planning, but it is generally hard to solve due to its nonconvex and large …

This paper describes an interior point method for nonlinear programming endowed with
infeasibility detection capabilities. The method is composed of two phases, a main phase …

We introduce a twice differentiable augmented Lagrangian for nonlinear optimization with
general inequality constraints and show that a strict local minimizer of the original problem is …

We present a sequential quadratic optimization (SQO) algorithm for nonlinear constrained
optimization. The method attains all of the strong global and fast local convergence …

We propose a real-time minimum-time trajectory planning strategy with obstacle avoidance
for a differential-drive mobile robot in the context of robot soccer. The method considers …