Optimality conditions for systems driven by nonlinear evolution equations.
Optimality conditions of globally efficient solution for vector equilibrium problems with generalized convexity.
Optimality conditions of vector set-valued optimization problem involving relative interior.
Optimality properties of controls with bang-bang components in problems with semilinear state equation
Optimierung konstant belegter Ovale und ein Hyperbel-Schnittsatz
Optimisation in space of measures and optimal design
The paper develops an approach to optimal design problems based on application of abstract optimisation principles in the space of measures. Various design criteria and constraints, such as bounded density, fixed barycentre, fixed variance, etc. are treated in a unified manner providing a universal variant of the Kiefer-Wolfowitz theorem and giving a full spectrum of optimality criteria for particular cases. Incorporating the optimal design problems into conventional optimisation framework makes...
Optimisation in space of measures and optimal design
The paper develops an approach to optimal design problems based on application of abstract optimisation principles in the space of measures. Various design criteria and constraints, such as bounded density, fixed barycentre, fixed variance, etc. are treated in a unified manner providing a universal variant of the Kiefer-Wolfowitz theorem and giving a full spectrum of optimality criteria for particular cases. Incorporating the optimal design problems into conventional optimisation framework...
Optimization and identification of nonlinear uncertain systems
In this paper we consider the optimal control of both operators and parameters for uncertain systems. For the optimal control and identification problem, we show existence of an optimal solution and present necessary conditions of optimality.
Optimization of discrete-discrete hybrid dynamical systems and its application to problem solving.
Optimization problems involving Poisson's equation in .
Optimizing chemotherapy in an HIV model.
Order-Lipschitzian properties of multifunctions with applications to stability of efficient points
Parametric problem of completely generalized quasi-variational inequalities.
Patchy vector fields and asymptotic stabilization
Patchy Vector Fields and Asymptotic Stabilization
This paper is concerned with the structure of asymptotically stabilizing feedbacks for a nonlinear control system on . We first introduce a family of discontinuous, piecewise smooth vector fields and derive a number of properties enjoyed by solutions of the corresponding O.D.E's. We then define a class of “patchy feedbacks” which are obtained by patching together a locally finite family of smooth controls. Our main result shows that, if a system is asymptotically controllable at the origin,...
PDI&PDE-constrained optimization problems with curvilinear functional quotients as objective vectors.
Perturbation theory of duality in vector optimization via the abstract duality scheme
Perturbed optimization problems in Banach spaces
POD a-posteriori error based inexact SQP method for bilinear elliptic optimal control problems
An optimal control problem governed by a bilinear elliptic equation is considered. This problem is solved by the sequential quadratic programming (SQP) method in an infinite-dimensional framework. In each level of this iterative method the solution of linear-quadratic subproblem is computed by a Galerkin projection using proper orthogonal decomposition (POD). Thus, an approximate (inexact) solution of the subproblem is determined. Based on a POD a-posteriori error estimator developed by Tröltzsch...
POD a-posteriori error based inexact SQP method for bilinear elliptic optimal control problems∗
An optimal control problem governed by a bilinear elliptic equation is considered. This problem is solved by the sequential quadratic programming (SQP) method in an infinite-dimensional framework. In each level of this iterative method the solution of linear-quadratic subproblem is computed by a Galerkin projection using proper orthogonal decomposition (POD). Thus, an approximate (inexact) solution of the subproblem is determined. Based on a POD...