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Joint product numerical range and geometry of reduced density matrices

Science China(Physics,Mechanics & Astronomy) 2017年第2期60卷 9-17页

作者： Jianxin Chen Cheng Guo Zhengfeng Ji Yiu-Tung Poon Nengkun YU Bei Zeng Jie Zhou Joint Center for Quantum Information and Computer Science University of Maryland College Park 20740 USA Institute for Advanced Study Tsinghua University Beijing 100084 China Centre for Quantum Computation ＆ Intelligent Systems School of Software Faculty of Engineering and Information Technology University of Technology Sydney Sydney 2007 Australia State Key Laboratory of Computer Science.Institute of Software Chinese Academy of Sciences Beijing 100084 China Department of Mathematics Iowa State University Ames 50011-2140 USA Institute for Quantum Computing University of Waterloo Waterloo N2L 3G1 Canada Department of Mathematics ＆ Statistics University of Guelph Guelph N1G 2 W1 Canada Perimeter Institute for Theoretical Physics Waterloo N2L 2Y5 Canada

The reduced density matrices of a many-body quantum system form a convex set, whose three-dimensional projection is convex in R3. The boundary of may exhibit nontrivial geometry, in particular ruled surfaces. Two physical mechanisms are known for the origins of ruled surfaces： symmetry breaking and gapless. In this work, we study the emergence of ruled surfaces for systems with local Hamiltonians in infinite spatial dimension, where the reduced density matrices are known to be separable as a consequence of the quantum de Finetti＇s theorem. This allows us to identify the reduced density matrix geometry with joint product numerical range II of the Hamiltonian interaction terms. We focus on the case where the interaction terms have certain structures, such that a ruled surface emerges naturally when taking a convex hull of ∏. We show that, a ruled surface on sitting in ∏ has a gapless origin, otherwise it has a symmetry breaking origin. As an example, we demonstrate that a famous ruled surface, known as the oloid, is a possible shape of , with two boundary pieces of symmetry breaking origin separated by two gapless lines.

关键词： reduced density matrices quantum tomography numerical range quantum information oloid ruled surface

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SPID control for synchronization of complex PIDE networks with time delays

SPID control for synchronization of complex PIDE networks wi...

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Annual Conference of Industrial Electronics Society

作者： Chengdong Yang Ancai Zhang Xinghui Zhang Zhaodong Liu Guochen Pang Jianlong Qiu Yumei Wen Shandong Shanshui Jinde Cao School of Automation Key Laboratory of Complex Systems and Intelligent Computing in Universities of Shandong (Linyi University) Nanjing Linyi P. R. China School of Automation and Electrical Engineering Linyi University Linyi P. R. China Shandong Shanshui Cement Group Jinan P. R. China Cement Group Jinan 250307 P. R. China Southeast University Nanjing Jiangsu CN

This paper deals with the problem of complex spatio-temporal networks, which is modeled by coupled partial integro-differential equations (PIDEs). A spatial proportional-integral-derivative (SPID) state-feedback controller is studied. With Laypunov direct method, a sufficient condition on synchronization of the complex PIDE network is investigated in terms of linear matrix inequality (LMIs). Finally, a numerical example shows the effectiveness of the proposed results.

关键词： Synchronization Delay effects Delays Mathematical model Neural networks Linear matrix inequalities Numerical stability

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Optimal Innovation-Based Deception Attack on Remote State Estimation

Optimal Innovation-Based Deception Attack on Remote State Es...

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American Control Conference

作者： Shuang Wu Ziyang Guo Dawei Shi Karl Henrik Johansson Ling Shi Electronic and Computer Engineering Hong Kong University of Science and Technology Clear Water Bay Kowloon Hong Kong State Key Laboratory of Intelligent Control and Decision of Complex Systems School of Automation Beijing Institute of Technology 100081 China ACCESS Linnaeus Centre School of Electrical Engineering KTH Royal Institute of Technology Stockholm Sweden

ISBN: (纸本)9781509045839

The security issue in cyber-physical systems has attracted growing interests in the last decades. This paper considers how false data injection attack can degrade the estimation quality of a remote state estimation system. In this system, smart sensors measure a dynamic process and send preprocessed data through a communication network to a remote estimator to estimate the process. It is assumed that there are malicious attackers in the communication network, who are able to obtain and falsify all the data sent by the sensors. It is common that the remote estimator is equipped with a residue-based detector to detect potential attacks. We propose a class of deception attack and analyze its feasibility. We show that the proposed attack enables the attacker to inject false data into the remote estimator without being detected. We derive a criterion to judge the optimality of performance of this type of attack in the sense of maximizing the estimation error covariance. Furthermore, we find that a simple linear attack strategy, which flips the sign of intercepted signal, satisfies the optimality criterion. We present numerical examples to illustrate our theoretical results.

关键词： Cyber-physical systems (CPS) deception attack remote state estimation

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12.2: A 3D Display Parallel System: Light Field Re-rendering and Depth Sense Optimization

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SID Symposium Digest of Technical Papers 2018年第S1期49卷

作者： Renjing Pei Kui Ma Feiyue Wang State Key Laboratory of Management and Control for Complex Systems Institute of Automation Chinese Academy of Sciences East Zhongguanchun Road No. 95 Haidian District Beijing School of Computer and Control Engineering University of Chinese Academy of Sciences Beijing Parallel Optics Technology Innovation Center Qingdao Academy of Intelligent Industries Qingdao

The main benefit of 3D display over 2D display is the obvious ability to create a more lifelike character with high depth sense. However, the limitation of human eye's visual mechanism, unartful 3D scene structure design, or bad viewing condition always emerges poor depth perception experience or even physiological discomfort during the watching time, which is often sub-optimal for mass high-quality 3D display productions. To solve this problem, we propose a novel 3D display parallel system for depth sense optimization and it empirically guides how the light field should be re-rendered. Structurally, the parallel system consists of an artificial perception measurement system, a display evaluation model and a light field display rendering system, which includes the display calibration, scene capture, light field data processing and display. Particularly, the system can systematically analyze and model various factors affecting the depth sense which learned through the measurement system, like scene structure, objects’ speeds in 3D video and so on. And those sense factors can be personally modified or increased according to the viewer's demands or technical improvement. Moreover, the light field could be real-time re-rendered, based on some image processing technology, optical flow analysis and object segmentation (or tracking) (especially the one-shot video segmentation). Theory and algorithms are developed and experimental validation results show a superior performance.

关键词： 3D Display Parallel System Depth Sense Light Field Re-rendering 3D Video Processing One-shot Segmentation

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Distributed trajectory tracking control for multiple nonholonomic mobile robots

Distributed trajectory tracking control for multiple nonholo...

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作者： Yang, Qingkai Fang, Hao Cao, Ming Chen, Jie School of Automation Beijing Institute of Technology Beijing100081 China Key Laboratory of Intelligent Control and Decision of Complex Systems Beijing100081 China Faculty of Mathematics and Natural Sciences University of Groningen Groningen AG9747 Netherlands

In this paper, the distributed tracking problem for multiple nonholonomic mobile robots is investigated, in which the nonholonomic models are transformed into chained-form systems. By utilizing the dynamic oscillator strategy, the distributed controllers are constructed such that all the mobile robots' trajectories converge to the desired reference asymptotically. One advantage of the chained-form system solution that we propose is that it requires no other variable transformations, which could help reducing the system's complexity and broadening the proposed controller's practical applications. Simulations are presented to show the effectiveness of the proposed control algorithms. © 2016, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

关键词： Multi agent systems

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Energy consumption analysis in multi-legged robots based on gait planning

Energy consumption analysis in multi-legged robots based on ...

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Chinese Control Conference (CCC)

作者： Xiaolong Du Shoukun Wang Xiaoyan Zong Junzheng Wang State Key Laboratory of Intelligent Control and Decision of Complex Systems Beijing Institute of Technology Beijing China

ISBN: (纸本)9781509009107

Currently, the multi-legged robots have to confront the problem of low energy utilization that restricts the moving radius of robots. Aimed at the problem of energy consumption for mobile robots, this paper provides the analysis in terms of the gait planning. Firstly, two kinds of gait curves Respectively, cycloid curve and Bezier curve are introduced and the main difference of two gait patterns is that the Bezier curve can achieve the swing leg retraction (SLR). The length of step (S), the height of step (H) and the duty ratio of gait cycle (β) are set as the primary research points about the gait of mobile robot. In this work, we formulate two indexes to quantitatively describe the performance of the quadruped robot and related simulations are carried out for gait parameters. Finally, the results provide some recommendations for the gait planning of the quadruped robot, that is, the changes of gait parameters influence the index of energy consumption and SLR can effectively reduce energy consumption.

关键词： Three-dimensional displays

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LAR Routing Stability Protocol Based on Mobility Prediction

LAR Routing Stability Protocol Based on Mobility Prediction

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第35届中国控制会议

作者： Tang Chao School of Automation Beijing Institute of Technology State Key Laboratory of Intelligent Control and Decision of Complex Systems

ISBN: (纸本)9781509009107

Alongside advancements in communication technology,Ad Hoc networks have grown considerably in *** high-relative-velocity environments,however,air nodes often have supersonic velocity but ground nodes are nearly *** this case,traditional protocols do not satisfy the necessary link stability though this type of node usually has clear purpose or *** this effect,node activity can be forecast to a certain *** this study,a motion model was developed to describe aircraft flying in high-relative-velocity *** also investigated methods of maximizing link lifetime and network stability by designing an improved LARl *** simulation results showed that the proposed LAR1 protocol has superior performances in terms of link lifetime,but may increase the number of hops in data transmission.

关键词： Ad Hoc high-relative velocity motion model link lifetime

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An Improved Part-based Compressive Tracking Method

An Improved Part-based Compressive Tracking Method

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第35届中国控制会议

作者： Qiwen Hou Wenjie Chen HuiLin Gao School of Automation Beijing Institute of Technology State Key Laboratory of Intelligent Control and Decision of Complex Systems

ISBN: (纸本)9781509009107

In this paper,we propose an improved part-based tracking method based on compressive *** traditional compressive tracking can hardly deal with occlusion and scale variation,which is not robust enough in these *** our part-based method,the occluded image patches which are selected by K-means are not able to participate in determining the location of the target in order to increase tracking *** solve the problem of scale variation,an algorithm is proposed to estimate the size of target with the information of the whole *** addition,we also use the positions of every part to help us to get a precise size of the *** the combination of two methods,the scale of the target is *** compared with five state-of-the-arts have been done to prove the effectiveness and robustness of our method.

关键词： compressive sensing part-based tracking occlusion handling scale estimation

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Discrete-time Networked Control systems under Stochastic Scheduling Constraints

Discrete-time Networked Control Systems under Stochastic Sch...

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第35届中国控制会议

作者： Kun Liu Xia Pan Yang Liu Yuanqing Xia School of Automation and National Key Laboratory of Intelligent Control and Decision of Complex Systems Beijing Institute of Technology

ISBN: (纸本)9781509009107

This paper extends the time-delay approach to discrete-time networked control systems with multiple sensor nodes that are subject to time-varying transmission intervals,time-varying transmission delays and communication *** system sensor nodes are supposed to be distributed over a *** scheduling of sensor communication is ruled by an independent and identically-distributed stochastic *** activation probability of each sensor node is a given constant,whereas it is assumed that collisions occur with a certain *** closed-loop system is modelled as a discrete-time stochastic hybrid system with time-varying delays in the dynamics and in the reset *** Lyapunov method a new condition is derived for the exponential mean-square stability of the delayed hybrid systems with respect to the full state and not only to the partial *** communication delays are allowed to be greater than the sampling *** efficiency of the proposed method is illustrated on the example of cart-pendulum.

关键词： Discrete-time networked control multiple sensors large communication delays stochastic protocol Lyapunov method

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Disturbance prediction based active disturbance rejection control approach

Disturbance prediction based active disturbance rejection co...

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第35届中国控制会议

作者： Chongling Li Tao Cai Zeyu Han School of Automation Beijing Institute of Technology State Key Laboratory of Intelligent Control and Decision of Complex Systems

ISBN: (纸本)9781509009107

Disturbance widely exists in control *** disturbance rejection control(ADRC) has been proved to be an efficient way to deal with disturbance and achieves great success in *** most important part of ADRC is extended state observer(ESO),which estimates the states of system and total *** regards internal disturbance and external disturbance as a total disturbance,estimates it and eliminates it in the *** faster ESO estimates total disturbance,the more quickly controller eliminates *** paper focuses on the discrete linear extended state observer(DLESO),and presents discrete predictive linear extended state observer(DPLESO).Stability and performances are *** result shows that DPLESO has better performances for disturbance rejection than DLESO.

关键词： disturbance discrete ADRC LESO predictive linear extended state observer

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