In this paper, we study the existence of LQG-balanced realizations (i.e., realizations for which the solutions of the control and filter Riccati equations are equal) for discrete time infinite-dimensional systems.

In this paper we deliver the proofs for the claims, made in a companion paper, concerning the avoidance of cosmological curvature singularities in in full Loop Quantum Gravity (LQG). ∗[email protected],[email protected] [email protected],[email protected]

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...