{ We describe a Newton method applied to the evaluation of a critical point of a total energy associated to a shape optimization problem. The key point of these methods is the Hessian of the shape functional. We give an expression of the Hessian as well as the relation with the second-order Eulerian semi-derivative. An application to the electromagnetic shaping of liquid metals process is studi...

LLE Review, Volume 96 225 Laser-beam shaping is a rapidly developing field of research driven by both technological improvements of beam-shaping devices and the ever-increasing demands of applications. In high-energy laser chains, efficient beam shaping is successfully achieved in the front ends by passive methods such as beam apodization1 or intracavity mode shaping;2 however, these static tec...

We investigate the constant amplitude nature of several time-optimal input shaping designs for controlling exible structures. We rst discuss the equivalence of the time-optimal zero-vibration shaper with the traditional time-optimal control problem. Then we show that several robust time-optimal shaper designs for exible systems are equivalent to the time-optimal controls for diierent systems. T...

In this paper, we first propose an extended Casimir method for energy-shaping. Then it is used to solve some control problems of Hamiltonian systems. To solve the H∞ control problem, the energy function of a Hamiltonian system is shaped to such a form that could be a candidate solution of HJI inequality. Next, the energy function is shaped as a candidate of control ISS-Lyapunov function, and th...

The unfolding crisis of the world order reveals that a struggle for advantages in energy domain has acquired distinctive geopolitical dimension. rivalry between Russia and West come to forefront politics. Energy became frontline confrontation, Ukrainian conflict spotlighted trend. article embraces range key issues geopolitics involving Russia, United States Europe (EU). US managed develop huge ...

In this paper, a novel method is introduced to design Nyquist filters with prescribed inter symbol interference (ISI) energy. The computation is based on the iterative weighted least-squares optimization with a quadratic constraint. The weighted stop band and the tail energies of the Nyquist filter are minimized iteratively while the quadratic constraint prescribing the ISI energy is enforced. ...

Recent experiments on the spherical tokamak have discovered the conditions to create a powerful plasma and ensure easy shaping and amplification of stability, high bootstrap current and confinement energy. The spherical tours (ST) fusion energy development path is complementary to the tokamak burning plasma experiment such as NSTX and higher toroidal beta regimes and improves the design of a po...

This paper continues our investigations into the passivity-based control of the compass gait biped. It was shown in [14] for the compass gait biped, and in [15] for the general case, that a passive limit cycle for a given constant slope can be made slope invariant via potential energy shaping control. In this paper we consider the application of total energy shaping to this problem. Using a con...

Shaping can be an effective method for improving the learning rate in reinforcement systems. Previously, shaping has been heuristically motivated and implemented. We provide a formal structure with which to interpret the improvement afforded by shaping rewards. Central to our model is the idea of a reward horizon, which focuses exploration on an MDP's critical region, a subset of states with th...

A new method for pulse analysis of driftless-gas proportional scintillation counters (GPSCs) is presented. With this method the requirement for additional analog or digital signal time-analysis and pulse-amplitude correction currently used is eliminated. In contrast to conventionaland driftless-GPSCs that have always relied on long shaping-time constants (several ms), the use of very short line...