Primal-dual path-following methods for constrained minimization problems in function space with low multiplier regularity are introduced and analyzed. Regularity properties of the path are proved. The path structure allows us to define approximating models, which are used for controlling the path parameter in an iterative process for computing a solution of the original problem. The Moreau–Yosi...

In this paper, we deal to obtain some new complexity results for solving semidefinite optimization (SDO) problem by interior-point methods (IPMs). We define a new proximity function for the SDO by a new kernel function. Furthermore we formulate an algorithm for a primal dual interior-point method (IPM) for the SDO by using the proximity function and give its complexity analysis, and then we sho...

This paper is devoted to path following control for electro-mechanical systems described by the port-Hamiltonian form. Path following control is investigated mainly for mechanical systems since the desired path is characterized by its 'position'. Therefore, most of the existing results use the nature of second order differential equations since mechanical systems are described by them. The pres...

The performance of dynamic path following of a wheeled mobile robot with nonholonomic constraints is highly affected by its initial states, because nonholonomically constrained system cannot guarantee the asymptotic stability for one equilibrium point of which errors and the time derivative of errors are zero. For this reason, the dynamic path following may yield poor performance with some init...