We propose an approach which, by combining insights from Loop Quantum Gravity (LQG), Topos theory, Non-commutative Geometry \`a la Connes, and spacetime relationalism, provides fertile ground for the search of adequate picture in Gravity. With this approach, we obtain a novel way deducing quantization possible values area surface. One gets same than those operator standard LQG, but our makes fu...

The problem of minimizing or maximizing the time spent by a controlled diffusion process in given interval is known as LQG homing. optimal control, when it possible to obtain an explicit solution such problem, often expressed special functions. Here, inverse considered: we determine, under certain assumptions, processes for which control simple power function. Moreover, extended case jump-diffu...

Motivated by control with communication constraints, in this work we develop a time-invariant data compression architecture for linear-quadratic-Gaussian (LQG) minimum bitrate prefix-free feedback. For any fixed performance, the approach propose nearly achieves known directed information (DI) lower bounds on time-average expected codeword length. We refine analysis of classical achievability ap...

Digital data networks have been used in control applications for more than 20 years to connect sensors, actuators, and controllers of a control loop. Typically, highly specialized networks are applied, the so called fieldbuses. If sufficiently dimensioned, these networks ensure deterministic data transmission with guaranteed latency. However, the increasing availability, flexibility, and lower ...

The paper considers the Linear Quadratic Gaussian (LQG) optimal control problem in the discrete time setting and when data loss may occur between the sensors and the estimation-control unit and between the latter and the actuation points. For protocols where packets are acknowledged at the receiver (e.g. TCP type protocols), the separation principle holds. Moreover, the optimal LQG control is a...