Continuing former work [8], [9] the authors consider a mechanical system that models a segment of a live or artificial worm or a baloon for angioplasty that is placed within a cylindrical compliant tube (vein). The statics of the inflation process is based on the Principle of Minimal Potential Energy....
Ausgangspunkt für die Untersuchungen sind zwei klassische Optimalsteuerprobleme mit verschiedenen Integrationsintervallen. Die Zustände sind einer Ungleichungsrestriktion mit beliebigem Relativgrad auf einem gemeinsamen Teilintervall unterworfen. Für dieses Problem werden notwendige Optimalitätsbedingungen...
In this paper the authors consider mechanical devices that can be seen as segments of an artificial worm or as a balloon for angioplasty. Continuing former work \cite{St 2003} the segment is now placed within a cylindrical or constricted rigid tube that will be touched or pressed during inflation of...
In this paper, the authors consider a class of finite dimensional optimal control problems with state restrictions. These investigations are aimed at utilizable necessary optimality conditions. The purpose of the paper is twofold: first, to prepare a starting point for further investigations on a topic...
In this thesis simple models of two- and threedimensional continuous robotic manipulators are presented. As a first step towards the control of such manipulators characterizations of their workspaces are determined. In order to describe the boundary of the workspaces we apply optimal control techniques....