In this paper, it is shown how a residual generator can be synthesized for time-delay systems using parity relations. The goal of this study is to investigate the application of a modern symbolic computation like MAPLE to the development and the design of fault detection systems for time-delay systems. In the literature, the problem brougth up by time-delay systems has been solved in two differ...

We demonstrate that the number of fermionic zero modes of the static 2-dimensional Dirac operator in the background of SU(2) static gauge-Higgs field configurations is a topological invariant modulo four. Static configurations which are everywhere odd under parity with even-parity pure gauge behaviour at infinity admit 4n, n ∈ Z, zero modes of the Jackiw-Rebbi (JR) type. Odd-parity configuratio...

We explore the consequences of time-space noncommutativity in the quantum mechanics of atoms and molecules, focusing on the Moyal plane with just time-space noncommutativity ([x̂μ, x̂ν ] = iθμν , θ0i ≡/ 0, θij = 0). Space rotations and parity are not automorphisms of this algebra and are not symmetries of quantum physics. Still, the spectral degeneracies of a time-independent Hamiltonian due to s...

The reaction mechanisms of the following proton diffractive scattering processes are studied and compared with one another: γ∗p → V p, γ∗p → Xp, pp → (ΛK+)p and pA → ΛK+A (Here, γ∗ stands for the space-like photon in inelastic electronproton scattering, V for the vector mesons ρ, ω, φ, J/ψ, and A for a target nucleus.) It is shown that, by taking parity, and C–parity conservation into account, ...

We study chargino pair production at LEP II in supersymmetric models with spontaneously broken R–parity. We perform a detailed signal and background analyses, showing that a large region of the parameter space of these models can be probed through chargino searches at LEP II. We determine the limits on the chargino mass as a function of the magnitude of the effective R– parity violation paramet...