The primary goal of this paper is to study a nonlinear complementarity system (NCS, for short) with and nonhomogeneous partial differential operator mixed boundary conditions, simultaneous distributed-boundary optimal control problem governed by (NCS), respectively. First, we formulate the weak formulation (NCS) variational inequality double obstacle constraints (MVI, short), prove existence un...

A linear-quadratic optimal control problem is considered for the infinite-dimensional model of a one-link flexible arm. Two boundary inputs are assumed to be available, namely joint torque at link base and transverse force tip link. The formulated solved using semigroup theory duality arguments. Simulation results provided support theoretical findings, comparing proposed LQ law with more conven...

In this paper the time-optimal boundary control problem is presented for a distributed infinite order parabolic system in which time lags appear in the integral form both in the state equation and in the boundary condition. Some specific properties of the optimal control are discussed.

In this paper, the optimal boundary control problem for distributed parabolic systems, involving second order operator with an infinite number of variables, in which constant lags appear in the integral form both in the state equations and in the boundary condition is considered. Some specific properties of the optimal control are discussed.

We consider a free boundary problem modeling the growth/dissolution of a crystal in a radially symmetric setting. Existence of an optimal boundary control, minimizing a cost functional of a standardìntegral-quadratic' form, is already known and we here consider the characterization and computation of such an optimal control.