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Journal Article 6

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Algebraic Method (AGM) 2

Algebraic Riccati equation (ARE) 1

Algebraic connectivity 1

Angular Frequency 1

Average propagation 1

Cascading failure 1

Duffing 1

Formation control 1

Linear quadratic regulator (LQR) 1

Multi-agent systems 1

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Power grid 1

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Vanderpol 1

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algebraic-stress turbulent model 1

angular frequency 1

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Analyzing the nonlinear vibrational wave differential equation for the simplified model of Tower Cranes by Algebraic

M.R. AKBARI,D.D. GANJI,A.R. AHMADI,Sayyid H. Hashemi KACHAPI

Frontiers of Mechanical Engineering 2014, Volume 9, Issue 1,   Pages 58-70 doi: 10.1007/s11465-014-0289-7

Abstract: analyze the nonlinear differential equation governing on the presented system in three different cases by AlgebraicThe simplification of the solution procedure in Algebraic Method and its application for solving a wide

Keywords： Algebraic Method (AGM)     tower crane     oscillating system     angular frequency    

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Algebraic-stress Turbulent Model of Planar 2-D Pollutant Convection-Diffusion in Curvilinear Coordinates

Wu Xiuguang,Shen Yongming,Wang Min,Yang Zhifeng

Strategic Study of CAE 2005, Volume 7, Issue 7,   Pages 60-64

Abstract: The anisotropic algebraic-stress turbulent model is introduced to simulate the turbulence items, andalgebraic-stress turbulent model of planar 2-D pollutant convection-diffusion in curvilinear coordinates

Keywords： pollutant     convection-diffusion     anisotropic     algebraic-stress turbulent model     k-ε model    

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Generation of closed-form inverse kinematics for reconfigurable robots

ZHAO Jie, WANG Weizhong, GAO Yongsheng, CAI Hegao

Frontiers of Mechanical Engineering 2008, Volume 3, Issue 1,   Pages 91-96 doi: 10.1007/s11465-008-0013-6

Abstract: Three classes and 28 types of subproblems containing geometric or algebraic solutions are identified

Keywords： different     effectiveness     generation     reconfigurable     algebraic    

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Solving nonlinear differential equations of Vanderpol, Rayleigh and Duffing by AGM

M. R. AKBARI,D. D. GANJI,A. MAJIDIAN,A. R. AHMADI

Frontiers of Mechanical Engineering 2014, Volume 9, Issue 2,   Pages 177-190 doi: 10.1007/s11465-014-0288-8

Abstract: vibration, which are Vanderpol, Rayleigh and Duffing equations, have been analyzed and solved completely by Algebraic

Keywords： Algebraic Method (AGM)     Angular Frequency     Vanderpol     Rayleigh     Duffing    

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Reducing power grid cascading failure propagation by minimizing algebraic connectivity in edge addition Research Articles

Supaporn LONAPALAWONG, Jiangzhe YAN, Jiayu LI, Deshi YE, Wei CHEN, Yong TANG, Yanhao HUANG, Can WANG,11821132@zju.edu.cn,wcan@zju.edu.cn

Frontiers of Information Technology & Electronic Engineering 2022, Volume 23, Issue 3,   Pages 382-397 doi: 10.1631/FITEE.2000596

Abstract: Analyzing under various circumstances is generally regarded as a challenging problem. Robustness against failure is one of the essential properties of large-scale dynamic network systems such as s, transportation systems, communication systems, and computer networks. Due to the network diversity and complexity, many topological features have been proposed to capture specific system properties. For s, a popular process for improving a network’s structural robustness is via the topology design. However, most of existing methods focus on localized network metrics, such as node connectivity and edge connectivity, which do not encompass a global perspective of cascading propagation in a . In this paper, we use an informative global metric because it is sensitive to the connectedness in a broader spectrum of graphs. Our process involves decreasing the in a by minimizing the increase in its . We propose a topology-based greedy strategy to optimize the robustness of the . To evaluate the , we calculate the using MATCASC to simulate cascading line outages in s. Experimental results illustrate that our proposed method outperforms existing techniques.

Keywords： Network robustness     Cascading failure     Average propagation     Algebraic connectivity     Power grid    

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Optimization of formation for multi-agent systems based on LQR

Chang-bin Yu, Yin-qiu Wang, Jin-liang Shao,brad.yu@anu.edu.au,wh6508@gmail.com,jinliangshao@126.com

Frontiers of Information Technology & Electronic Engineering 2016, Volume 17, Issue 2,   Pages 96-109 doi: 10.1631/FITEE.1500490

Abstract: In this paper, three optimal linear algorithms are proposed for first-order linear from a perspective with cost functions consisting of both interaction energy cost and individual energy cost, because both the collective object (such as formation or consensus) and the individual goal of each agent are very important for the overall system. First, we propose the optimal formation algorithm for first-order without initial physical couplings. The parameter matrix of the algorithm is the solution to an . It is shown that the matrix is the sum of a Laplacian matrix and a positive definite diagonal matrix. Next, for physically interconnected , the optimal formation algorithm is presented, and the corresponding parameter matrix is given from the solution to a group of quadratic equations with one unknown. Finally, if the communication topology between agents is fixed, the local feedback gain is obtained from the solution to a quadratic equation with one unknown. The equation is derived from the derivative of the cost function with respect to the local feedback gain. Numerical examples are provided to validate the effectiveness of the proposed approaches and to illustrate the geometrical performances of .

Keywords： Linear quadratic regulator (LQR)     Formation control     Algebraic Riccati equation (ARE)     Optimal control    

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Title Author Date Type Operation

Analyzing the nonlinear vibrational wave differential equation for the simplified model of Tower Cranes by Algebraic

M.R. AKBARI,D.D. GANJI,A.R. AHMADI,Sayyid H. Hashemi KACHAPI

Journal Article

Algebraic-stress Turbulent Model of Planar 2-D Pollutant Convection-Diffusion in Curvilinear Coordinates

Wu Xiuguang,Shen Yongming,Wang Min,Yang Zhifeng

Journal Article

Generation of closed-form inverse kinematics for reconfigurable robots

ZHAO Jie, WANG Weizhong, GAO Yongsheng, CAI Hegao

Journal Article

Solving nonlinear differential equations of Vanderpol, Rayleigh and Duffing by AGM

M. R. AKBARI,D. D. GANJI,A. MAJIDIAN,A. R. AHMADI

Journal Article

Reducing power grid cascading failure propagation by minimizing algebraic connectivity in edge addition

Supaporn LONAPALAWONG, Jiangzhe YAN, Jiayu LI, Deshi YE, Wei CHEN, Yong TANG, Yanhao HUANG, Can WANG,11821132@zju.edu.cn,wcan@zju.edu.cn

Journal Article

Optimization of formation for multi-agent systems based on LQR

Chang-bin Yu, Yin-qiu Wang, Jin-liang Shao,brad.yu@anu.edu.au,wh6508@gmail.com,jinliangshao@126.com

Journal Article