1 We are very grateful to Masa Fujita for his insightful comments. We have also benefitted from suggestions made by an associate editor, James Foster, Rob Reed, and participants of the Midwest Mathematical Economics Conference at the University of Michigan and of the Regional Science Association International Meetings at Santa Fe. The first and the second authors acknowledge financial support f...

Rakheli (Rachel) Hever, Reuma De Groot, The Hebrew University of Jerusalem, Jerusalem, Israel, Email: [email protected], [email protected] Maarten De Laat, The University of Exeter, Exeter, UK, [email protected] Andreas Harrer, Ulrich Hoppe, University of Duisburg-Essen, Duisburg, Germany, Email: [email protected], [email protected] Bruce M. McLaren, Oliver Scheuer, Deutsches Fo...

Moreover, I am grateful to Brigitte Rohrbach for her careful editing of the manuscript which helped improve the standard of my English. Finally, a special thank to my wife Franziska for her patience and invaluable support. vii Summary The stability analysis of time-delay systems forms the centre of this work. Three tools are typically used to investigate the stability of such systems: Razumikhi...

We consider the stability of the feedback connection of a strictly proper linear time invariant (LTI) stable system with a static nonlinearity expressed by a convex quadratic program (QP). From the Karush-KuhnTucker (KKT) conditions for the QP, we establish quadratic constraints that may be used with a quadratic Lyapunov function to construct a stability criterion via the S-procedure. The appro...

Stability is the ability of a system to return to its original state after a disturbance. Taking vertical oscillations of the centre of mass of a human bending his legs as an example we prove that the intrinsic mechanical properties of musculature can stabilize the oscillatory movement (preflex) without reflexive changes in activation. The human is represented by a model consisting of a massles...

More than 35 years and 11 000 publications after the discovery of quasicrystals by Dan Shechtman, quite a bit is known about their occurrence, formation, stability, structures and physical properties. It has also been discovered that quasiperiodic self-assembly is not restricted to intermetallics, but can take place in systems on the meso- and macroscales. However, there are some blank areas, e...

This paper describes a new approach allowing the generation of a simplified Biped gait. This approach combines a classical dynamic modeling with an inverse kinematics’ solver based on particle swarm optimization, PSO. First, an inverted pendulum, IP, is used to obtain a simplified dynamic model of the robot and to compute the target position of a key point in biped locomotion, the Centre Of Mas...

In order to be successful in karate, it is necessary to apply the highest punch impulse at impact while maintaining dynamic body stability during the entire action. Here we test two different techniques to execute a specific karate punch and we compare expert and novice performances to explore the punch efficacy at different skill levels. Each participant, standing on a force platform, was aske...