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On a tilted Liouville-master equation of open quantum systems

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Communications in Theoretical Physics 2021年第9期73卷 129-135页

作者： fei liu School of Physics Beihang UniversityBeijing 100191China

A tilted Liouville-master equation in Hilbert space is presented for Markovian open quantum *** demonstrate that it is the unraveling of the tilted quantum master *** latter is widely used in the analysis and calculat... 详细信息

关键词： quantum stochastic thermodynamic tilted quantum master equation quantum trajectories Feynman-Kac formula stochastic heat Liouville-master equation

Deriving a kinetic uncertainty relation for piecewise deterministic processes:from classical to quantum

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Communications in Theoretical Physics 2021年第12期73卷 149-158页

作者： fei liu School of Physics Beihang UniversityBeijing 100191China

From the perspective of Markovian piecewise deterministic processes(PDPs),we investigate the derivation of a kinetic uncertainty relation(KUR),which was originally proposed in Markovian open quantum ***,stationary distributions of classical PDPs are explicitly ***,a tilting method is used to derive a rate functional of large ***,based on an improved approximation scheme,we recover the *** classical results are directly extended to the open quantum *** use a driven two-level quantum system to exemplify the quantum results.

关键词： Nonequilibrium fluctuations kinetic uncertainty relations large deviation principle open quantum systems piecewise deterministic processes trajectory

Consensus problem of second-order multi-agent systems with time-varying communication delay and switching topology

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Journal of Systems Engineering and Electronics 2011年第4期22卷 672-678页

作者： Chenglin liu fei liu Institute of Automation Jiangnan University Wuxi 214122 E R. China

Leader-following stationary consensus problem is investigated for the second-order multi-agent systems with timevarying communication delay and switching topology. Based on Lyapunov-Krasovskii functional and Lyapunov-Razumikhin functions respectively, consensus criterions in the form of linear matrix inequality （LMI） are obtained for the system with time-varying communication delays under static interconnection topology con- verging to the leader＇s states. Moreover, the delay-dependent consensus criterion in the form of LMI is also obtained for the system with time-invariant communication delay and switching topologies by constructing Lyapunov-Krasovskii functional. Numerical simulations present the correctness of the results.

关键词： second-order multi-agent system time-varyingcommunication delay switching topology Lyapunov-Krasovskii,Lyapunov-Razumikhin.

A fluctuation theorem for Floquet quantum master equations

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Communications in Theoretical Physics 2020年第9期72卷 127-131页

作者： fei liu School of Physics Beihang UniversityBeijing 100191China

We present a fluctuation theorem for Floquet quantum master equations. This is a detailed version of the famous Gallavotti–Cohen theorem. In contrast to the latter theorem, which involves the probability distribution of the total heat current, the former involves the joint probability distribution of positive and negative heat currents and can be used to derive the latter. A quantum two-level system driven by a periodic external field is used to verify this result.

关键词： Floquet quantum master equations Gallavotti–Cohen fluctuation theorem large deviation principle positive and negative heat currents

Exponential passive filtering for a class of nonlinear jump systems

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Journal of Systems Engineering and Electronics 2009年第4期20卷 829-837页

作者： He Shuping liu fei Inst. of Automation Jiangnan Univ. Wuxi 214122 P. R. China

The exponential passive filtering problem for a class of nonlinear Markov jump systems with uncertainties and time-delays is studied. The uncertain parameters are assumed unknown but norm bounded, and the nonlinearities satisfy the quadratic condition. Based on the passive filtering theory, the sufficient condition for the existence of the mode-dependent passive filter is given by analyzing the reconstructed observer system. By using the appropriate Lyapnnov-Krasovskii function and applying linear matrix inequalities, the design scheme of the passive filter is derived and described as an optimization one. The presented exponential passive filter makes the error dynamic systems exponentially stochastically stable for all the admissible uncertainties, time-delays and nonlinearities, has the better abilities of state tracking and satisfies the given passive norm index. Simulation results demonstrate the validity of the proposed approach.

关键词： nonlinear Markov jump systems uncertainties time-delays passive filter exponentially stochastically stable linear matrix inequalities.

Neural network-based H∞ filtering for nonlinear systems with time-delays

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Journal of Systems Engineering and Electronics 2008年第1期19卷 141-147页

作者： Luan Xiaoli liu fei Inst. of Automation Jiangnan Univ. Wuxi 214122 P. R. China

A novel H∞ design methodology for a neural network-based nonlinear filtering scheme is addressed. Firstly, neural networks are employed to approximate the nonlinearities. Next, the nonlinear dynamic system is represented by the mode-dependent linear difference inclusion （LDI）. Finally, based on the LDI model, a neural network-based nonlinear filter （NNBNF） is developed to minimize the upper bound of H∞ gain index of the estimation error under some linear matrix inequality （LMI） constraints. Compared with the existing nonlinear filters, NNBNF is time-invariant and numerically tractable. The validity and applicability of the proposed approach are successfully demonstrated in an illustrative example.

关键词： H∞ filtering nonlinear system time-delay neural network linear matrix inequality

Methods for Integrating Energy Consumption and Environmental Impact Considerations into the Production Operation of Machining Processes

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Chinese Journal of Mechanical Engineering 2010年第4期23卷 428-435页

作者： HE Yan liu fei State Key Laboratory of Mechanical Transmission Chongqing University Chongqing 400030 China

Energy consumption and environmental impact considerations of machining processes are viewed as important issues for the global trends towards sustainable manufacturing. The existing research of reducing energy consumption and environmental impacts of machining processes greatly focuses on design and planning activities, but is reasonably sparse for production operation activities. This paper explores a systematic methodology that incorporates energy consumption and environmental impact considerations into the production operation of machining processes. Firstly, the framework of the methodology is proposed to establish the generic procedures for integrating the above considerations in production operation activities. As the two key issues of the framework, the profile index value matrix is determined by valuing the individual quantity of energy consumption and environmental impacts of machining each job on each machine, and the multi-criteria models are constructed by the operational methods. Furthermore, with the guideline of the framework, the specific formulations are modeled by two sub-models for the parallel machine scheduling problem, in which makespan and energy consumption are the optimizing objectives as well as the constraints of environmental impact considerations. The specific formulations provide a practical method to integrate energy consumption and environmental impact considerations into the scheduling activity, and also can serve as a reference to other activities in the production operation. The case study for a batch of jobs, including seven kinds of gears in the machining shop floor, is presented to demonstrate the application of the specific formulations of the methodology. The proposed methodology provides potential opportunities for reducing energy consumption and environmental impacts in machining processes, and helps production managers in decision-making on the issues of energy consumption and environmental impacts in the production operat

关键词： green manufacturing energy environmental impact production operation machining

Electrochemical energy storage applications of “pristine” graphene produced by non-oxidative routes

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Science China(Technological Sciences) 2015年第11期58卷 1841-1850页

作者： liu fei XUE DongFeng State Key Laboratory of Rare Earth Resource Utilization Changchun Institute of Applied Chemistry Chinese Academy of Sciences

Graphene is a promising material as both active components and additives in electrochemical energy storage devices. The properties of graphene strongly depend on the fabrication methods. The applications of reduced graphene oxide as electrode materials have been well studied and reviewed, but the using of "pristine" graphene as electrode material for energy storage is still a new topic. In this paper, we review state-of-the-art progress in the fabrication of "pristine" graphene by different methods and the electrochemical performance of graphene-based electrodes. The achievements in this area will be summarized and compared with the graphene oxide route in terms of cost, scalability, material properties and performances, and the challenges in these methods will be discussed as well.

关键词： pristine graphene energy storage exfoliation electrochemical

Robust reliable H_∞ control for discrete-time Markov jump linear systems with actuator failures

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Journal of Systems Engineering and Electronics 2008年第5期19卷 965-973页

作者： Chen Jiaorong liu fei Inst. of Automation Jiangnan Univ. Wuxi 214122 P. R. China

The robust reliable H∞ control problem for discrete-time Markovian jump systems with actuator failures is studied. A more practical model of actuator failures than outage is considered. Based on the state feedback method, the resulting closed-loop systems are reliable in that they remain robust stochastically stable and satisfy a certain level of H∞ disturbance attenuation not only when all actuators are operational, but also in case of some actuator failures, The solvability condition of controllers can be equivalent to a feasibility problem of coupled linear matrix inequalities （LMIs）. A numerical example is also given to illustrate the design procedures and their effectiveness.

关键词： discrete-time Markov jump systems actuator failure reliable control robust H∞-control time-delay.