Robust optimal feedback for terminal linear-quadratic control problems under disturbances

O Kostyukova, E Kostina - Mathematical programming, 2006 - Springer
We consider a linear dynamic system in the presence of an unknown but bounded
perturbation and study how to control the system in order to get into a prescribed …

[PDF][PDF] One-parametric optimization: jumps in the set of generalized critical points

J Guddat, JJ Rückmann - Control and Cybernetics, 1994 - oxygene.ibspan.waw.pl
We consider a one-parametric finite-dimensional optimization problem P (t) whose
describing functions are three times continuously differentiable and belong to the generic …

Pathfollowing methods in nonlinear optimization III: Lagrange multiplier embedding

D Dentcheva, J Guddat, JJ Rückmann… - Zeitschrift für Operations …, 1995 - Springer
This paper deals with Lagrange multiplier methods which are interpreted as pathfollowing
methods. We investigate how successful these methods can be for solving “really …

On the Role of the Mangasarian–Fromovitz Constraint Qualification for Penalty-, Exact Penalty-, and Lagrange Multiplier Methods

J Guddat, F Guerra, D Nowack - Mathematical Programming with …, 2020 - taylorfrancis.com
In this paper we consider three embeddings (one-parametric optimization problems)
motivated by penalty, exact penalty and Lagrange multiplier methods. We give an answer to …

Curvas criticas y saltos en la optimizacion no lineal

W Gomez, J Guddat, HT Jongen, JJ Rückmann… - … : The Electronic Library …, 2000 - emis.de
Chapter 4 deals with critical point theory for both the unconstrained and the constrained
case. Here, the local behaviour of the objective function is studied via normal forms (Morse …

A modified standard embedding with jumps in nonlinear optimization

J Guddat, FG Vázquez, D Nowack… - European journal of …, 2006 - Elsevier
The paper deals with a combination of pathfollowing methods (embedding approach) and
feasible descent direction methods (so-called jumps) for solving a nonlinear optimization …

Analysis of properties of the solutions to parametric time-optimal problems

O Kostyukova, E Kostina - Computational Optimization and Applications, 2003 - Springer
We consider a linear time-optimal problem in which initial state values depend on a
parameter and study the problem of the solution structure identification for small parameter …

Path-following barrier and penalty methods for linearly constrained problems

D Al-Mutairi, C Grossmann, V Kim Tuan - Optimization, 2000 - Taylor & Francis
In the present paper some barrier and penalty methods (eg logarithmic barriers, SUMT,
exponential penalties), which define a continuously differentiable primal and dual path …

Path-following proximal approach for solving ill-posed convex semi-infinite programming problems

A Kaplan, R Tichatschke - Journal of optimization theory and applications, 1996 - Springer
For a class of ill-posed, convex semi-infinite programming problems, a regularized path-
following strategy is developed. This approach consists in a coordinated application of …

On generic quadratic penalty embeddings for nonlinear optimization problems

W Gómez Bofill - Optimization, 2001 - Taylor & Francis
The generic character of regularity in the sense of Jongen, Jonker and Twilt is studied for a
particular class of embeddings, which represents a quadratric penalty procedure. In this …