Parameter estimation based on binary quantized observations is considered given the estimation system does not know which of a set of quantizers was used, without replacement, for each block of observations. Thus the estimation system receives permutated blocks of quantized samples of a signal in noise with unknown signal amplitude. Maximum likelihood (ML) estimators are utilized to estimate bo...

This paper deals with ultimate bounded stability analysis and stabilization conditions for systems involving input saturation and quantized control law, which corresponds to the state quantization case. The state feedback control design problem is then addressed. Theoretical results to ensure the ultimate boundedness and the L2 stability of the closed-loop system are presented both in local as ...

One electron system minimally coupled to a quantized radiation field is considered. It is assumed that the quantized radiation field is massless, and no infrared cutoff is imposed. The Hamiltonian, H, of this system is defined as a self-adjoint operator acting on L2(R3) ⊗ F , where F is the Boson Fock space over L2(R3 × {1, 2}). It is shown that the ground state, ψg, of H belongs to ∩k=1D(1 ⊗Nk...

Continuum (“classical”) physics rests on arbitrary units of mass, length and time; it is “scale invariant”. Modern physics is quantized. Dalton and Prout recognized that mass is quantized, Faraday and Thompson showed that electric charge is quantized and Planck and Einstein discovered that action is quantized. Once these three facts are grasped, the goal of physics should be to replace MLTphysi...

In this paper, the quantized H∞ control problem is investigated for a class of nonlinear stochastic timedelay network-based systems with probabilistic data missing. A nonlinear stochastic system with state delays is employed to model the networked control systems where the measured output and the input signals are quantized by two logarithmic quantizers, respectively. Moreover, the data missing...

Poker has become a popular pastime all over the world. At any given moment one can find tens, if not hundreds, of thousands of players playing poker via their computers on the major on-line gaming sites. Indeed, according to the Vancouver, B.C. based pokerpulse.com estimates, more than 190 million US dollars daily is bet in on-line poker rooms. But communication and computation are changing as ...

This paper considers the implementation of Tomlinson-Harashima (TH) pre-coding for multiuser MIMO systems based on quantized channel state information (CSI) at the transmitter side. Compared with the results in, our scheme applies to more general system setting where the number of users in the system can be less than or equal to the number of transmit antennas. We also study the achievable aver...

Distributed formation tracking results have been studied in the literature for networked underactuated surface vessels (NUSVs) at dynamic level. The distributed tracker design of NUSVs under a fully quantized environment remains an open problem. This paper provides solution to this problem low-complexity control framework that ensures prescribed performance without help any adaptive approximati...

The stability of doubly quantized vortices in dilute Bose-Einstein condensates of Na is examined at zero temperature. The eigenmode spectrum of the Bogoliubov equations for a harmonically trapped cigar-shaped condensate is computed and it is found that the doubly quantized vortex is spectrally unstable towards division into two singly quantized vortices. By numerically solving the full three-di...

There exists a two parameter action, the variation of which produces both the geodesic equation and the geodesic deviation equation. In this paper it is shown that this action can be quantized by the canonical method, resulting in equations which generalize the Klein-Gordon equation. The resulting equations might have applications, and also show that entirely unexpected systems can be quantized...