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In this paper, the consensus tracking problem is studied for a group of nonlinear heterogeneous multiagent systems with asymmetric state constraints and input delays. Different from the existing works, both input delays and asymmetric state constraints are assumed to be nonuniform and time-varying. By introducing a nonlinear mapping to handle the problem caused by state constraints, not only the feasibility condition is removed, but also the restriction on the constraint boundary functions is relaxed. The time-varying input delays are compensated by developing an auxiliary system. Furthermore, by utilizing the dynamic surface control method, neural network technology and the designed finite-time observer, the distributed adaptive control scheme is developed, which can achieve the synchronization between the followers' output and the leader without the violation of full-state constraints. Finally, a numerical simulation is provided to verify the effectiveness of the proposed control protocol. [ABSTRACT FROM AUTHOR]

Highlights • Compared with the existing results in Chu et al. (2015), Meng et al. (2018), the system considered in this paper is more general. Firstly, the time delay investigated in this paper is time-varying. Secondly, different from deterministic systems, this paper considers a class of stochastic systems. • By using the backstepping design technique, an observer-based linear controller is constructed. In stability analysis, based on an appropriate Lyapunov-Krasoviskii functional, an allowable sampling period T is derived to guarantee that the considered stochastic system is globally asymptotically stable in the mean square sense. • The proposed sampled-data controller is linear and independent of the time delay, which is more suitable for practical applications. Abstract This paper studies the global sampled-data output feedback stabilization problem for a class of stochastic nonlinear systems. The considered system is in non-strict feedback form with unknown time-varying delay. A state observer is introduced to estimate the unmeasured states. With the help of the backstepping method, a linear sampled-data output feedback controller is constructed. By choosing an appropriate Lyapunov–Krasoviskii functional and an allowable sampling period, it is shown that the stochastic system can be globally asymptotically stabilized in the mean square sense under the developed control scheme. Finally, two examples are presented to verify the effectiveness of the designed control scheme. [ABSTRACT FROM AUTHOR]

We calculate the next-to-leading order (NLO) QCD corrections to J/ψ associated with W+b production from top quark decay. Our results show that the decay width for process t→J/ψ+W++b+X at the leading order is significantly enhanced by the NLO QCD corrections. This process has the potential to be detected at the LHC. It provides an interesting signature that could be studied at the LHC, and if the J/ψ associated production with W+b from top quark decay is really detected, it will be useful for testing the nonrelativistic QCD factorization formalism. [ABSTRACT FROM AUTHOR]

Abstract: We develop the complex scaling method within the relativistic framework by expanding the Dirac spinors in the complete set of eigensolutions of a harmonic oscillator potential, and present the theoretical formalism of describing the discrete bound and resonant states on the same footing. Based on a well established and frequently used model, we demonstrate the utility and applicability of the extended method and examine the stability of the results with respect to the variations of the parameters of the model. Satisfactory agreements are found for all the calculated results in comparison with some other calculations in references. Especially, the present calculation in the nonrelativistic limit gives a consistent result with that in the nonrelativistic calculation. [Copyright &y& Elsevier]

In this paper, the fully distributed consensus for a class of multiple Euler-Lagrange systems is investigated, where the protocol is designed under the event-triggered control framework and the dynamics of Euler-Lagrange systems are heterogeneous. Since only local information interactions at triggered instants can be used and the Euler-Lagrange systems are of relatively complex dynamics, it is challenging to achieve asymptotic consensus without using any global information (such as the Laplacian matrix information). By skillfully integrating the adaptive control, distributed control and event-triggered control techniques, a novel protocol is proposed for the investigated multiple Euler-Lagrange systems. It is proven that the asymptotic consensus can be achieved by the developed protocol. By a numerical example, the effectiveness of the developed protocol is illustrated. [ABSTRACT FROM AUTHOR]

We propose a heralded quantum repeater protocol based on the general interface between the circularly polarized photon and the quantum dot embedded in a double-sided optical microcavity. Our effective time-bin encoding on photons results in the deterministic faithful entanglement distribution with one optical fiber for the transmission of each photon in our protocol, not two or more. Our efficient parity-check detector implemented with only one input-output process of a single photon as a result of cavity quantum electrodynamics makes the entanglement channel extension and entanglement purification in quantum repeater far more efficient than others, and it has the potential application in fault-tolerant quantum computation as well. Meanwhile, the deviation from a collective-noise channel leads to some phase-flip errors on the nonlocal electron spins shared by the parties and these errors can be depressed by our simplified entanglement purification process. Finally, we discuss the performance of our proposal, concluding that it is feasible with current technology. [ABSTRACT FROM AUTHOR]

This paper aims at proposing the sliding mode control method based on event-triggered scheme for networked control systems with periodic denial-of-service (DoS) attacks in the network environment. Firstly, considering the possible security problem in open communication networks, an event-triggered strategy ensuring the security of communication links under DoS attacks is designed, which can weaken the adverse impact of jamming signals in communication while providing benefits in improving resource utilization. Secondly, combined with the event-triggered control strategy, by aid of constructing the sliding surface function, the sliding mode dynamics is deduced, and the stability criterion with disturbance attenuation performance in H ∞ sense is established by an improved inequality technique. On this basis, an control law is designed, which ensures the reachability of the sliding mode surface. Finally, the effectiveness of the control strategy is proved by a numerical example and an example of an inverted pendulum on a cart. [ABSTRACT FROM AUTHOR]

This paper investigates the problem of finite-time fault-tolerant consensus protocols for a class of uncertain multiple mechanical systems. On the basis of the recursive design method and finite-time control theory, distributed consensus protocols and adaptive laws are developed by using locally available information. Fuzzy logic systems are employed to approximate the unknown functions. It is proved that if the designed parameters and functions in the protocols and adaptive laws are suitably chosen, the position errors and the velocity errors between any two mechanical systems will converge to a small neighborhood of zero in finite time. Finally, an example is given to demonstrate the effectiveness of the proposed method. [ABSTRACT FROM AUTHOR]

In this study, a novel M-estimation based sparse grid quadrature filter (MSGQF) is proposed to improve the robust performance of the nonlinear system. We present a systematic formulation of the sparse grid quadrature filter (SGQF), and extend it to the discrete-time nonlinear system with abnormal measurement values. The M-estimation method is introduced in the SGQF, which uses the Huber's cost function to update the measurement covariance. Convergence on the modified robust SGQF is established and proved. The sufficient conditions are shown to ensure stochastic stability of the MSGQF. A target tracking problem has been conducted to demonstrate the accuracy of the MSGQF. When measurement abnormal values appear, it outperforms the unscented Kalman filter (UKF), the cubature Kalman filter (CKF) and the SGQF. Theoretical analysis and simulation results prove that the MSGQF provides significant performance improvement in the robustness of the nonlinear system. [ABSTRACT FROM AUTHOR]

The complex scaling method is applied to study the resonances of a Dirac particle in a Morse potential. The applicability of the method is demonstrated with the results compared with the available data. It is shown that the present calculations in the nonrelativistic limit are in excellent agreement with the nonrelativistic calculations. Further, the dependence of the resonant parameters on the shape of the potential is checked with the sensitivity to the potential parameters analyzed. By comparing the energies and widths of the pseudospin doublets, well pseudospin symmetry is discovered in the present model. The relationship between the pseudospin symmetry and the shape of the potential is investigated by changing the Morse potential shaped by the dissociation energy, the equilibrium intermolecular distance, and the positive number controlling the decay length of the potential. [ABSTRACT FROM AUTHOR]

Remote information concentration (RIC) in d-level systems (qudits) is studied. It is shown that the quantum information initially distributed in three spatially separated qudits can be remotely and deterministically concentrated to a single qudit via an entangled channel without performing any global operations. The entangled channel can be different types of genuine multipartite pure entangled states which are inequivalent under local operations and classical communication. The entangled channel can also be a mixed entangled state, even a bound entangled state which has a similar form to the Smolin state, but has different features from the Smolin state. A common feature of all these pure and mixed entangled states is found; i.e., they have d² common commuting stabilizers. The differences of qudit-RIC and qubit-RIC (d = 2) are also analyzed. [ABSTRACT FROM AUTHOR]

Abstract This paper addresses formation control problem with collision avoidance for general linear multi-agent systems via an optimal control strategy. In the proposed optimal control strategy, a novel potential function is designed to accomplish formation of multi-agent systems (MASs) with obstacle/collision avoidance capability, which can avoid rectangle obstacles accurately. In this potential function, a novel relative velocity based self-adaptive detection region is proposed to avoid collisions with adjacent agents. Moreover, a non-quadratic avoidance performance index is constructed based on inverse optimal control approach. Then, the optimal control strategy is designed to guarantee the asymptotic stability of the closed-loop system and optimality of the proposed performance index. Finally, a simulation example is given to illustrate the efficiency of the proposed approach. [ABSTRACT FROM AUTHOR]

Abstract: In this paper, we present experimental data on the resistance, capacity, and life cycle of lithium iron phosphate batteries collected by conducting full life cycle testing on one type of lithium iron phosphate battery, and we analyse that data using the data mining method of pattern recognition. We also predict battery reliability using cluster analysis. A strategy for enhancing the reliability of lithium iron phosphate batteries is proposed based on a statistical analysis and study of the macromechanism of product failures. We show in practice that the average life cycle of a battery is increased by 45.5% after adopting a new strategy that we suggest. The strategy is effective for mass-producing reliable lithium iron phosphate batteries and instructive for improving the industry of lithium iron phosphate battery production, as well as the quality of its products. [Copyright &y& Elsevier]

The Higgs boson production associated with a W boson and a photon at the Large Hadron Collider (LHC) can be used to probe the coupling between the Higgs boson and vector gauge bosons and discover a signature of new physics. We present precision predictions up to the QCD next-to-leading order (NLO) in the standard model for this process involving the subsequential weak decays of the final Higgs and W boson. The dependence of the leading order (LO) and the QCD NLO corrected integrated cross sections on the factorization and renormalization energy scale is studied. We provide the LO and QCD NLO corrected distributions of the transverse momenta and rapidities of final products. We find that the LO cross section is significantly enhanced by the QCD NLO correction, and the K-factor value is obviously related to the physical observables and the phase space regions. [ABSTRACT FROM AUTHOR]

• Previous prediction of the steady-oscillatory transition in published works has been summarized, and we find the transition point has yet to come to consensus. • The critical Reynolds number is predicted numerically by a present method SCM-ACM with high accuracy and fewer nodes. • The temporal evolution of velocity, the amplitude evolution, and the distribution of dimensionless angular frequency are studied. Massive computations of three-dimensional (3D) flow in subcritical flow state are carried out to investigate the transition from 3D steady flow to time-periodic oscillatory flow via Hopf bifurcation in a cube. Previous prediction of the steady-oscillatory transition in published works has been summarized. The transition point in lid-driven cavity has yet to come to consensus as the critical parameters are predicted in a wide range of values. The 3D unsteady governing equations are solved numerically using the spectral collocation method (SCM) in combination with the artificial compressibility method (ACM), SCM-ACM, a combined method with high accuracy that we developed. The temporal velocity evolution, amplitude evolution and dimensionless angular frequency are investigated. The accurate critical Reynolds number R e c r is predicted by Richardson extrapolation. Results show that the initial conditions have significant effect to obtain the velocity which gradually approaches to steady state in the subcritical flow state, and appropriate initial conditions are given to efficiently obtain stable results by gradually increasing R e. Exponential decay of velocity amplitude becomes weaker with the increase of R e , and the decay rate is strictly linear against R e , while the dimensionless angular frequency remains constant. The R e c r is affected by the number of nodes, which has also been observed by Feldman and Gelfgat [1] and Kuhlmann and Albensoeder [2] , while the critical frequency is unaffected by the number of nodes in the present results. It also indicates that the R e c r and the constant dimensionless angular frequency can be innovatively predicted with more accuracy and much fewer nodes. The improved point of steady-oscillatory transition in 3D lid-driven cube is R e c r = 1916.6 via Hopf bifurcation by Richardson extrapolation with dimensionless angular frequency ω = 0.5752. [ABSTRACT FROM AUTHOR]