This paper presents some studies on partially observed linear quadratic Gaussian (LQG) models where the stochastic disturbances depend on both the states and the controls, and the measurements are bilinear in the noise and the states=controls. While the Separation Theorem of standard LQG design does not apply, suboptimal linear state estimate feedback controllers are derived based on certain li...

An adaptive discrete-time LQG control with loop transfer recovery (LTR) is considered. The control problem is analyzed using state-space model and the parameter estimation problem is implemented for corresponding discrete-time model in transfer function form obtained via ZOH. Thus the direct estimation of model parameters is possible by means of standard RLS or ERLS procedure and the adaptive c...

A large quasar group (LQG) of particularly large size and high membership has been identified in the DR7QSO catalogue of the Sloan Digital Sky Survey. It has characteristic size (volume1/3) ∼500 Mpc (proper size, present epoch), longest dimension ∼1240 Mpc, membership of 73 quasars and mean redshift z̄ = 1.27. In terms of both size and membership, it is the most extreme LQG found in the DR7QSO c...

This article provides a detailed investigation into the motion of surrounding particles around polymer black hole in loop quantum gravity (LQG). Using effective potential, critical bound orbits and innermost stable circular (ISCO) are analyzed. The study finds that radii angular momentum decrease with an increase parameter $A_\lambda$ which labels LQG effects, while energy ISCO also decreases $...

A manifestly Lorentz-covariant formulation of Loop Quantum Gravity (LQG) is given in terms finite-dimensional representations the Lorentz group. The accounts for discrete symmetries, such as parity and time-reversal, it establishes a link with Wigner classification particles. resulting quantum model can be seen LQG internal $SU(2)\otimes SU(2)$ group free Immirzi parameter, while scalar constra...

In this paper we survey recent works on rational inattention (RI) in macroeconomics within the dynamic linear-quadratic-Gaussian (LQG) setting. We first discuss how RI affects consumption smoothness and sensitivity, precautionary savings, asset pricing, portfolio choice, and aggregate fluctuations in the univariate case. We then discuss the applications of RI to macroeconomic models of permanen...

The problem of deriving a suboptimal LQG controller which is internally stable is considered. In the case where the controller is internally unstable a procedure is given for modifying the optimization parameters, i.e. the state weighting matrix and/or the process noise intensity. Sufficient conditions for controller stability of appropriately modified optimization problems are given for both t...

A two-wheeled self-balancing robot system bases on the physical problem of an inverted pendulum. Stabilization this type mobile requires applying active control approach. This paper proposes efficient Linear Quadratic Gaussian (LQG) optimal for system. The LQG (a combination a Kalman Filter (KF) and Regulator (LQR)) controller is designed to stabilize while reducing effect process measurement n...