Applied Optimal Control Theory of Distributed Systems

On Henig Regularization of Material Design Problems for Quasi-Linear <i>p</i>-Biharmonic Equation

“…The OCP (1)- (4) can be considered as a prototype of design problems for quasilinear state equations. For an interesting exposure to this subject we can refer to the monographs [4]- [6].…”

Simulation of Nonlinear Thermomechanical Waves with an Empirical Low Dimensional Model

“…This leads to computational difficulties due to the fact that the resultant large system of ODEs is usually stiff. Even in the case of linear PDEs, control issues of the resulting models are highly non-trivial [18,14,4,9]. Hence, it seems natural to try to approximate PDE systems such as those arising in the description of smart material systems by a lower dimensional ODE systems.…”

Optimality Conditions for Nonconvex Multistate Control Problems in the Coefficients

“…Thus, it is natural to assume M (Ω) is H-closed. The calculus of the H-closure of a set is a very difficult problem and there are a lot of works in this field (see, e.g., [23], [14], [13], [8], [25], [3], [16] and the references in them). In this paper we are interested in obtaining some necessary conditions which must satisfy the optimal solution of (1.1).…”