We introduce the concept of a local metric Gaussian free field (GFF) $h$, which is random coupled with $h$ in such way that it depends locally on certain sense. This definition analog set for $h$. establish general criteria two metrics same GFF to be bi-Lipschitz equivalent each other and a.s. determined by Our results are used subsequent works prove existence, uniqueness, basic properties $\ga...

This paper presents a real-time embedded framework for finger force control of upper extremity prostheses. The proposed system is based on the hypothesis that models describing the finger force and surface Electromyographic (sEMG) signal relationships of healthy subjects can be applied to amputees. An identification/estimation scheme is applied to the collected sEMG and finger force signals in ...

The aim of the work reported in this thesis is to investigate how to establish a standard platform for remote maintenance of controller software, which provides remote monitoring, remote fault identification and remote performance recovery services for geographically distributed controller software over the Internet. A Linear Quadratic Gaussian (LQG) controller is used as the benchmark for the ...

Spin Foam Models (SFM) are an attempt at a covariant or path integral formulation of canonical Loop Quantum Gravity (LQG). Traditionally, SFM rely on 1. the Plebanski formulation of GR as a constrained BF Theory. 2. simplicial triangulations as a UV regulator and 3. a sum over all triangulations via group field techniques (GFT) in order to get rid off triangulation dependence. Subtle tasks for ...

Based on a recently developed notion of physical realizability for quantum linear stochastic systems, we formulate a quantum LQG optimal control problem for quantum linear stochastic systems where the controller itself may also be a quantum system and the plant output signal can be fully quantum. This is distinct from previous works on the quantum LQG problem where measurement is performed on t...

Submitted for the DPP09 Meeting of The American Physical Society Design of a Linear-Quadratic-Gaussian controller for resistive wall mode stabilization in NSTX1 OKSANA KATSURO-HOPKINS, S.A. SABBAGH, J.M. BIALEK, Columbia University, S.P. GERHARDT, PPPL — Stabilization of the resistive wall mode (RWM) in the NSTX is important to achieve and sustain high-beta plasmas. State-space control algorith...

The fate of matter forming a black hole is still an open problem, although models quantum gravity corrected holes are available. In loop (LQG) were presented, which resolve the classical singularity in centre by means black-to-white transition, but neglect collapse process. situation similar other approaches, where eternal non-singular this paper, strategy presented to generalise these dynamica...

In this article, we consider optimal controller synthesis of a quantized-feedback linear-quadratic-Gaussian (QF-LQG) system, where the measurements are to be quantized before being transmitted controller. The system is presented with several choices quantizers, along cost operating each quantizer. objective jointly select quantizers and that would maintain an balance between control performance...