Optimization of singular problems

AS Hoback - Structural optimization, 1996 - Springer
optimization method is presented that optimizes singular structures. An example of a singular
problem is … The problem is reformulated using the percent method so that the appropriate …

[PDF][PDF] An optimization algorithm for solving systems of singular boundary value problems

Z Abo-Hammour, OA Arqub… - Applied …, 2014 - naturalspublishing.com
… In Section 2, a short introduction to optimization problems and their applications is presented…
singular BVPs as an optimization problem. Section 4 shows a brief preface to optimization

Singular solutions in structural optimization problems

EF Masur, Z Mroz - Variational methods in the mechanics of solids, 1980 - Elsevier
… This singular condition is derived and applied to several … The discovery that unconstrained
optimization problems may … BASIC DEVELOPMENT The typical linear eigenvalue problem is …

A new approach for the solution of singular optima in truss topology optimization with stress and local buckling constraints

X Guo, G Cheng, K Yamazaki - … and Multidisciplinary Optimization, 2001 - Springer
… paper investigates problems of truss topology optimization under local … for singular topology
optimization problems, the usual successive iteration approach would not find the singular

Singular solutions in problems of optimal control

C Johnson, J Gibson - IEEE Transactions on Automatic Control, 1963 - ieeexplore.ieee.org
… Summary-A particular class of optimization problems, in which the system equations and …
singular controls in this class of problems. In general, it cannot be stated a priori that singular

Approximate solution of singular optimization problems

SY Serovaiskii - Mathematical Notes, 2003 - Springer
… So we have an algorithm for solving Problem 1 for singular elliptic equations. This algorithm
is based on the regularized Problem 2 for which we have obtained necessary conditions (4)–…

[PDF][PDF] Development and experience of using the parameterization method in singular problems of dynamic optimization

VK Gorbunov, IV Lutoshkin - JOURNAL OF COMPUTER AND …, 2004 - researchgate.net
… of further development of methods of dynamic optimization, we consider the analytical-numerical
methods based on the refined analysis of functional problems at the first stage and the …

Numerical computation of singular control functions in trajectory optimization problems

HJ Oberle - Journal of Guidance, Control, and Dynamics, 1990 - arc.aiaa.org
… -thrust history contains a singular subarc, ie, a subarc with variable-thrust burn.'6"9 In this
paper a similar trajectory optimization problem is considered. The problem is to maximize the …

A new approach for the solution of singular optimum in structural topology optimization

G Xu, C Gengdong - Acta Mechanica Sinica, 1997 - Springer
singular optima, in the present paper, a new method for the solutions of structural topology
optimization problems … instead of solving the original optimization problem directly, we turn to …

A modified search direction method for inequality constrained optimization problems using the singular-value decomposition of normalized response gradients

L Chen, KU Bletzinger, A Geiser, R Wüchner - … Optimization, 2019 - Springer
problem in each iteration step, which is generally considered to be difficult for the shape
optimization problem… direction method that applies the singular-value decomposition method for …