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Controllability of fractional-order damped systems with time-varying delays in control Research Articles

Bin-bin He, Hua-cheng Zhou, Chun-hai Kou,hebinbin45@126.com,hczhou@amss.ac.cn,kouchunhai@dhu.edu.cn

Frontiers of Information Technology & Electronic Engineering 2020, Volume 21, Issue 6,   Pages 809-962 doi: 10.1631/FITEE.1900736

Abstract: In this study, we focus on the of in linear and nonlinear cases with multiple in control. For the linear system based on the Mittag-Leffler matrix function, we define a , which is useful in judging whether the system is controllable or not. Furthermore, in two special cases, we present serval equivalent controllable conditions which are easy to verify. For the nonlinear system, under the of its corresponding linear system, we obtain a sufficient condition on the nonlinear term to ensure that the system is controllable. Finally, two examples are given to illustrate the theory.

Keywords： 可控性；分数阶阻尼系统；时变时滞；Gramian矩阵    

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The Application of Risk Matrix to Acquisition Risk Evaluation for Weapon and Equipment

Li Zhongmin,Wei Yiming,Tang Shuchun,Chen Jian

Strategic Study of CAE 2006, Volume 8, Issue 6,   Pages 95-99

Abstract:

Risk evaluation is the basis of acquisition management for weapon and equipment. Based on the totally analyzing and summarizing risk matrix widely used abroad, the paper firsdy discusses the application of risk matrix in acquisition risk evaluation for weapon and equipment in China. Then, the paper, beginning with the two rules of risk impact and risk probability, demonstrates risk evaluation of a type of weapon and equipment as a case study, thus lays a basis for the scientific and rational risk management decision making.

Keywords： risk matrix     risk evaluation     acquisition for weapon and equipment    

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Risk Matrix Method and Its Application in the Field of Technical Project Risk Management

Zhu Qichao,Kuang Xinghua,Shen Yongping

Strategic Study of CAE 2003, Volume 5, Issue 1,   Pages 89-94

Abstract:

Technical project risk management has always been given great concern by the Department of Defense of the United States of America (DoD). This paper systematically introduces risk matrix and its application, which is one of the most popular risk management technologies in the field of DoD acquisition projects risk management. As a conclusion, this paper evaluates the usability of risk matrix when to be used to assess and mitigate technical project risks in China, and delivers a framework of risk matrix application in high-tech project risk management.

Keywords： risk matrix     risk management     project management    

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DSM Applied to Planning Process in Cooperative Design for Complex Products

Xu Luning,Zhang Heming,Zhang Yongkang

Strategic Study of CAE 2005, Volume 7, Issue 6,   Pages 41-44

Abstract:

The paper applied the matrix to the cooperative design for complex products, described the design flow diagram with design structure matrix (DSM), then reset the planning process according to analyzing and partitioning the DSM in order to shorten the cycle of design and reduce the cost of development.

Keywords： DSM (design structure matrix)     analysis     partition     planning    

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A matrix-based static approach to analysis of finite state machines Research Article

He DENG, Yongyi YAN, Zengqiang CHEN,yyyan@mail.nankai.edu.cn

Frontiers of Information Technology & Electronic Engineering 2022, Volume 23, Issue 8,   Pages 1239-1246 doi: 10.1631/FITEE.2100561

Abstract: Traditional matrix-based approaches in the field of construct state transition matrices, and then use the powers of the state transition matrices to represent corresponding dynamic transition processes, which are cornerstones of system analysis. In this study, we propose a static matrix-based approach that revisits a finite state machine from its structure rather than its dynamic transition process, thus avoiding the "explosion of complexity" problem inherent in the existing approaches. Based on the static approach, we reexamine the issues of closed-loop detection and controllability for deterministic . In addition, we propose controllable equivalent form and minimal controllable equivalent form concepts and give corresponding algorithms.

Keywords： Logical systems     Finite-valued systems     Semi-tensor product of matrices     Finite state machines     Matrix approaches    

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MCDB Monte Carlo dosimetry code system and its applications

Deng Li,Li Gang,Chen Chaobin,Ye Tao

Strategic Study of CAE 2012, Volume 14, Issue 8,   Pages 72-77

Abstract:

MCDB is developed for boron neutron capture therapy (BNCT). This system consists of a medical pre-processor, a dose computation and a post-processor. MCDB automatically produces the input file from CT and MRI image data. In Monte Carlo dose calculation, several accelerated measures, such as the fast track technique, mesh tally matrix and material matrix, are developed. In this paper, we proposed a real model simulated by MCNP and MCDB, respectively. The almost same results as MCNP are achieved. MCDB is faster in computational speed than MCNP.

Keywords： MCDB     fast tracking technique     mesh tally matrix     material matrix    

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Study on WBS matrix for construction management in urban rail-transi

Xie Lei1,Chen Qun,Yu Hua

Strategic Study of CAE 2010, Volume 12, Issue 1,   Pages 102-107

Abstract:

To improve construction management in the urban rail-transit, the WBS concept is well exploited by crossing a horizontal breakdown of urban rail-transit construction activities with a vertical breakdown of its technology system, thus a WBS matrix is obtained, which is more complete and useful than the WBS tree. This article firstly stated the concepts of interface and WBS matrix, with urban rail-transit analysis of how to use WBS matrix to improve interface management. The composition, structure system and principle of WBS matrix were specifically analyzed by contrastive method. The handling efficiency of WBS concept was decided by the changing of the factors.

Keywords： urban rail-transit     WBS matrix     interface     interface management    

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Matrix-valued distributed stochastic optimization with constraints

夏子聪,刘洋,卢文联,桂卫华

Frontiers of Information Technology & Electronic Engineering 2023, Volume 24, Issue 9,   Pages 1239-1252 doi: 10.1631/FITEE.2200381

Abstract: In this paper, we address matrix-valued distributed stochastic optimization with inequality and equality constraints, where the objective function is a sum of multiple matrix-valued functions with stochastic variables and the considered problems are solved in a distributed manner. A penalty method is derived to deal with the constraints, and a selection principle is proposed for choosing feasible penalty functions and penalty gains. A distributed optimization algorithm based on the gossip model is developed for solving the stochastic optimization problem, and its convergence to the optimal solution is analyzed rigorously. Two numerical examples are given to demonstrate the viability of the main results.

Keywords： Distributed optimization     Matrix-valued optimization     Stochastic optimization     Penalty method     Gossip model    

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Improving the reconstruction efficiency of sparsity adaptive matching pursuit based on the Wilkinsonmatrix None

Rasha SHOITAN, Zaki NOSSAIR, I. I. IBRAHIM, Ahmed TOBAL

Frontiers of Information Technology & Electronic Engineering 2018, Volume 19, Issue 4,   Pages 503-512 doi: 10.1631/FITEE.1601588

Abstract: Sparsity adaptive matching pursuit (SAMP) is a greedy reconstruction algorithm for compressive sensing signals. SAMP reconstructs signals without prior information of sparsity and presents better reconstruction performance for noisy signals compared to other greedy algorithms. However, SAMP still suffers from relatively poor reconstruction quality especially at high compression ratios. In the proposed research, the Wilkinson matrix is used as a sensing matrix to improve the reconstruction quality and to increase the compression ratio of the SAMP technique. Furthermore, the idea of block compressive sensing (BCS) is combined with the SAMP technique to improve the performance of the SAMP technique. Numerous simulations have been conducted to evaluate the proposed BCS-SAMP technique and to compare its results with those of several compressed sensing techniques. Simulation results show that the proposed BCS-SAMP technique improves the reconstruction quality by up to six decibels (dB) relative to the conventional SAMP technique. In addition, the reconstruction quality of the proposed BCS-SAMP is highly comparable to that of iterative techniques. Moreover, the computation time of the proposed BCS-SAMP is less than that of the iterative techniques, especially at lower measurement fractions.

Keywords： Block compressive sensing     Sparsity adaptive matching pursuit     Greedy algorithm     Wilkinson matrix    

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An algorithm for identifying symmetric variables based on the order eigenvalue matrix Article

Xiao-hua LI, Ji-zhong SHEN

Frontiers of Information Technology & Electronic Engineering 2017, Volume 18, Issue 10,   Pages 1644-1653 doi: 10.1631/FITEE.1601052

Abstract: To simplify the process for identifying 12 types of symmetric variables in Boolean functions, we propose a new symmetry detection algorithm based on minterm expansion or the truth table. First, the order eigenvalue matrix based on a truth table is defined according to the symmetry definition of a logic variable. By analyzing the constraint conditions of the order eigenvalue matrix for 12 types of symmetric variables, an algorithm is proposed for identifying symmetric variables of the Boolean function. This algorithm can be applied to identify the symmetric variables of Boolean functions with or without don’t-care terms. The proposed method avoids the restriction by the number of logic variables of the graphical method, spectral coefficient methods, and AND-XOR expansion coefficient methods, and solves the problem of completeness in the fast compu-tation method. The algorithm has been implemented in C language and tested on MCNC91 benchmarks. The application results show that, compared with the traditional methods, the new algorithm is an optimal detection method in terms of the applicability of the number of logic variables, the Boolean function including don’t-care terms, detection type, and complexity of the identification process.

Keywords： Boolean function     Symmetric variable     Boolean logic algebra system     Order eigenvalue matrix     Truth table    

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After Artificial Intelligence Breaks Longstanding Matrix Multiplication Records, Humans Quickly Do Better

Dana Mackenzie

Engineering 2023, Volume 28, Issue 9,   Pages 1-3 doi: 10.1016/j.eng.2023.07.002

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The Mathematics Model and Matrix Method of Complex Cocurrent Multi-Effect Evaporation

Ruan Qi,Chen Wenbo,Huang Shihuang,Ye Changshen

Strategic Study of CAE 2001, Volume 3, Issue 4,   Pages 36-41

Abstract:

The model of complex cocurrent multi-effect evaporation with condensed water flash and extra vapor elicitation is established. The conventional model of cocurrent multi-effect evaporation is a simplified example of the model. A new algorithm (iteration method combining with matrix method) is presented. The results show that the new algorithm is which increases the convergent speed and stability, more efficient than the Newton method and Broyden method. With condensed water flash and preheating cane sugar solution from 26.7 to 90℃ by elicitation extra vapor,the fresh vapor expenditure of cocurrent three-effect evaporation is decreased by about 16%.

Keywords： condensed water flash     extra vapor elicitation     cocurrent     multi-effect evaporation     mathematics model     matrix method    

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A microstrip filter direct-coupled amplifier based on active coupling matrix synthesis Research Articles

Yang Gao, Fan Zhang, Yingying Qiao, Jiawei Zang, Lei Li, Xiaobang Shang,gaoyang678@outlook.com,lilei@zzu.edu.cn

Frontiers of Information Technology & Electronic Engineering 2021, Volume 22, Issue 9,   Pages 1260-1269 doi: 10.1631/FITEE.2000292

Abstract: This paper presents a methodology of designing an integrated with a filter using an active . The filter is directly coupled to the active device, and the integrated filter can achieve filtering as well as matching functionalities, simultaneously, eliminating the need for separate matching networks. The filter is represented by an active , with additional columns and rows in the matrix corresponding to the active transistor. The matrix can be used to calculate the S-parameter responses (i.e., the return loss and the gain) and the initial dimensions of the integrated device. Moreover, the integration of a filter and an leads to a reduced loss and a more compact architecture of the devices. An X-band filter has been designed and demonstrated as an example. technology has been chosen because of its appealing advantages of easy fabrication, low cost, and most importantly, easy integration with active devices.

Keywords： 放大器；滤波–放大器集成；微带线；耦合矩阵    

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New Cuk Matrix Converter with High Voltage Transfer Ratio

Zhang Xiaoping,Zhu Jianlin,Tang Huaping,Zhang Binggen,Liu Shasha

Strategic Study of CAE 2008, Volume 10, Issue 4,   Pages 78-83

Abstract:

The drawback of classical matrix converter having low voltage transfer ratio is studied and a topology of a new matrix converter called as a Cuk matrix converter is proposed. The basic configuration of this new topology and its fundamental are firstly introduced, the analytic expression concerning functions relation of voltage transfer ratio to duty cycle is deduced, and the basic design method of double-loop control strategy is expounded. Finally the validity and feasibility of the new topology are tested by simulation.The results show that the output voltage and frequency can be modulated optionally by the new converter, of which the voltage transfer ratio can be greater than 1, or lower than 1, and an ideal sine wave can be directly obtained without filtering. Thus the inherent problem of classical matrix converter having low voltage transfer ratio is effectively solved by this study, which is of certain practical importance.

Keywords： Cuk matrix converter     circuit topology     voltage transfer ratio     double-loop control     simulation    

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An improved subspace weighting method using random matrix theory Research Articles

Yu-meng Gao, Jiang-hui Li, Ye-chao Bai, Qiong Wang, Xing-gan Zhang,ychbai@nju.edu.cn

Frontiers of Information Technology & Electronic Engineering 2020, Volume 21, Issue 9,   Pages 1302-1307 doi: 10.1631/FITEE.1900463

Abstract: The weighting subspace fitting (WSF) algorithm performs better than the multi-signal classification (MUSIC) algorithm in the case of low signal-to-noise ratio (SNR) and when signals are correlated. In this study, we use the (RMT) to improve WSF. RMT focuses on the asymptotic behavior of eigenvalues and eigenvectors of random matrices with dimensions of matrices increasing at the same rate. The approximative first-order perturbation is applied in WSF when calculating statistics of the eigenvectors of sample covariance. Using the asymptotic results of the norm of the projection from the sample covariance matrix onto the real signal in the , the method of calculating WSF is obtained. Numerical results are shown to prove the superiority of RMT in scenarios with few snapshots and a low SNR.

Keywords： Direction of arrival     Signal subspace     Random matrix theory    

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Title Author Date Type Operation

Controllability of fractional-order damped systems with time-varying delays in control

Bin-bin He, Hua-cheng Zhou, Chun-hai Kou,hebinbin45@126.com,hczhou@amss.ac.cn,kouchunhai@dhu.edu.cn

Journal Article

The Application of Risk Matrix to Acquisition Risk Evaluation for Weapon and Equipment

Li Zhongmin,Wei Yiming,Tang Shuchun,Chen Jian

Journal Article

Risk Matrix Method and Its Application in the Field of Technical Project Risk Management

Zhu Qichao,Kuang Xinghua,Shen Yongping

Journal Article

DSM Applied to Planning Process in Cooperative Design for Complex Products

Xu Luning,Zhang Heming,Zhang Yongkang

Journal Article

A matrix-based static approach to analysis of finite state machines

He DENG, Yongyi YAN, Zengqiang CHEN,yyyan@mail.nankai.edu.cn

Journal Article

MCDB Monte Carlo dosimetry code system and its applications

Deng Li,Li Gang,Chen Chaobin,Ye Tao

Journal Article

Study on WBS matrix for construction management in urban rail-transi

Xie Lei1,Chen Qun,Yu Hua

Journal Article

Matrix-valued distributed stochastic optimization with constraints

夏子聪,刘洋,卢文联,桂卫华

Journal Article

Improving the reconstruction efficiency of sparsity adaptive matching pursuit based on the Wilkinsonmatrix

Rasha SHOITAN, Zaki NOSSAIR, I. I. IBRAHIM, Ahmed TOBAL

Journal Article

An algorithm for identifying symmetric variables based on the order eigenvalue matrix

Xiao-hua LI, Ji-zhong SHEN

Journal Article

After Artificial Intelligence Breaks Longstanding Matrix Multiplication Records, Humans Quickly Do Better

Dana Mackenzie

Journal Article

The Mathematics Model and Matrix Method of Complex Cocurrent Multi-Effect Evaporation

Ruan Qi,Chen Wenbo,Huang Shihuang,Ye Changshen

Journal Article

A microstrip filter direct-coupled amplifier based on active coupling matrix synthesis

Yang Gao, Fan Zhang, Yingying Qiao, Jiawei Zang, Lei Li, Xiaobang Shang,gaoyang678@outlook.com,lilei@zzu.edu.cn

Journal Article

New Cuk Matrix Converter with High Voltage Transfer Ratio

Zhang Xiaoping,Zhu Jianlin,Tang Huaping,Zhang Binggen,Liu Shasha

Journal Article

An improved subspace weighting method using random matrix theory

Yu-meng Gao, Jiang-hui Li, Ye-chao Bai, Qiong Wang, Xing-gan Zhang,ychbai@nju.edu.cn

Journal Article