This paper is devoted to the study the first-order behavior of the value function of a parametric optimal control problem with linear constraints and a nonconvex cost function. By establishing an abstract result on the Mordukhovich subdifferential of the value function of a parametric mathematical programming problem, we derive a formula for computing the Mordukhovich subdifferential of the val...

A boundary optimal control problem for an instationary nonlinear reactiondiffusion equation system in three spatial dimensions is presented. The control is subject to pointwise control constraints and a penalized integral constraint. Under a coercivity condition on the Hessian of the Lagrange function, an optimal solution is shown to be a directionally differentiable function of perturbation pa...

In this paper we study the problem of parametric minimization of convex piecewise quadratic functions. Our study provides a unifying framework for convex parametric quadratic and linear programs. Furthermore, it extends parametric programming algorithms to problems with piecewise quadratic cost functions, paving the way for new applications of parametric programming in dynamic programming and o...

homogenous charge compression ignition (hcci) engines hold promise of high fuel efficiency and low emission levels for future green vehicles. but in contrast to gasoline and diesel engines, hcci engines suffer from lack of having direct means to initiate combustion. a combustion timing controller with robust tracking performance is the key requirement to leverage hcci application in production ...

This paper presents a fast alternative optimization method for developing reliable optimal controller that can handle system model parameter uncertainties. The source of uncertainty in this study is identified as hydrodynamic coefficients, which are prone to errors due the challenges involved obtaining accurate values. proposed utilizes complex nonlinear ship provided by Maneuver Modelling Grou...