1 Nonlinear stabilization by hybrid quantized feedba k Daniel Liberzon Dept. of Ele t. Eng., Yale University New Haven, CT 06520-8267 U.S.A. daniel.liberzon yale.edu Abstra t. This paper is on erned with global asymptoti stabilization of ontinuous-time ontrol systems by means of quantized feedba k. For linear systems, a hybrid ontrol strategy for dealing with this problem was re ently proposed ...

We propose a construction for nonlinear off-shell gauge field theories based on a constrained system quantized in the sense of deformation quantization. The key idea is to consider the star-product BFV–BRST master equation as an equation of motion. The construction is formulated in terms of the BRST extention of the unfolded formalism that can also be understood as an appropriate generalization...

An alternative quantum field theory for gravity is proposed for low energies based on an attractive effect between contaminants in a BoseEinstein Condensate rather than on particle exchange. In the “contaminant in condensate effect,” contaminants cause a potential in an otherwise uniform condensate, forcing the condensate between two contaminants to a higher energy state. The energy of the syst...

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 ∼= 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 ...

The synchronization problem of linear over-actuated multi-agent systems with unmeasurable states is studied in this paper, under both limited communication data rate and switching topology flows. A class of adaptive quantized observer-based encoding–decoding schemes and a class of certainty equivalence principle-based control protocols are proposed. By developing the graph-based space decomposi...

We give a general review of recent developments in the theory of vortices in superfluids and superconductors, discussing why the dynamics of vortices is important, and why some key results are still controversial. We discuss work that we have done on the dynamics of quantized vortices in a superfluid. Despite the fact that this problem has been recognized as important for forty years, there is ...