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The goal of this study is to present a new fuzzy Lyapunov function-based resilient sampled-data control method for a fractional-order permanent magnet vernier generator (PMVG)-based wind turbine system (WTS) that addresses actuator saturation and probabilistic faults. To achieve this, we first model the dynamical fractional model of the PMVG-based WTS as a T-S fuzzy model. Next, we introduce a fuzzy Lyapunov function within a unified framework that incorporates actuator saturation, probabilistic faults, and uncertainty information from control gain matrices. We then present an actuator fault model that represents actuator faults as stochastic variables with a specific probability distribution. Subsequently, we formulate a robust asymptotic stability criterion for closed-loop systems using linear matrix inequality (LMI), which integrates the fuzzy Lyapunov function and membership function information with fractional integral inequality techniques based on sampling time. We also propose an LMI approach to identify the domain of attraction that meets the necessary actuator saturation criteria. Finally, we apply the proposed method to a PMVG-based WTS, demonstrating its superiority and practical applicability through a comparison with existing methods using a numerical example of a nonlinear truck trailer system. [ABSTRACT FROM AUTHOR]

An algorithm is developed for efficiently constructing the Lorentz covariant effective three-point vertices of the decay of a particle into two daughter particles in which all the masses and spins of the three particles can be arbitrary. The closely related one-to-one correspondence between the helicity formalism and the covariant formulation is exploited for counting the number of independent terms and identifying the basic covariant three-point vertices. Assembling the basic operators according to the developed algorithm enables us to construct all the covariant three-point vertices systematically. [ABSTRACT FROM AUTHOR]

Focuses on a study which implemented a voice-command system for isolated word recognition tasks in real-world environments. Description of the voice-command system; Speaker adaptation algorithm; Conclusions.

An efficient algorithm is developed for compactly weaving all the Lorentz-covariant three-point vertices in relation to the decay of a massive particle X of mass mX and spin J into two particles M1,2 with equal mass m and spin s. The closely related equivalence between the helicity formalism and the covariant formulation is utilized so as to identify the basic building blocks for constructing the covariant three-point vertex corresponding to each helicity combination explicitly. The massless case with m=0 is worked out straightforwardly and the (anti)symmetrization of the three-point vertex required by the spin statistics of identical particles is made systematically. We show that the off-shell electromagnetic photon coupling to the states M1 and M2 can be accommodated in this framework. The power of the algorithm is demonstrated with a few typical examples with specific J and s values. [ABSTRACT FROM AUTHOR]

We perform a comprehensive and model-independent analysis for characterizing the spin and dynamical structure of the production of a nondiagonal pair of Majorana particles with different masses and arbitrary spins e-e+→X2X1, followed by a sequential two-body decay X2→ZX1 of the heavier particle X2 into a Z gauge boson and the lighter particle X1 escaping undetected at high-energy e+e- colliders. Standard leptonic Z-boson decays, Z→ℓ-ℓ+ with ℓ=e or µ, are employed for precisely diagnosing the Z polarization influenced by the production and decay processes. Based on helicity formalism and Wick helicity rotation for describing the correlated production-decay amplitudes and distributions, we work out the implications on the amplitudes and distributions of discrete CP symmetry and the Majorana condition that two particles are their own antiparticles. For the sake of a concrete illustration, an example of this type in the minimal supersymmetric Standard Model is investigated in detail. [ABSTRACT FROM AUTHOR]

The well-known Landau-Yang (LY) theorem on the decay of a neutral particle into two photons is generalized for analyzing the decay of a neutral or charged particle into two identical massless particles of any spin. Selection rules categorized by discrete parity invariance and Bose/Fermi symmetry are worked out in the helicity formulation. The general form of the Lorentz-covariant triple vertices are derived and the corresponding decay helicity amplitudes are explicitly calculated in the Jacob-Wick convention. After checking the consistency of all the analytic results obtained by two complementary approaches, we extract out the key aspects of the generalized LY theorem. [ABSTRACT FROM AUTHOR]