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Constrained optimization 1

FDTD 1

Hohmann transfer 1

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optical filters 1

planar lightwave circuits 1

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probability-integral method 1

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steep seam 1

surface movement and deformation 1

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Hohmann transfer via constrained optimization None

Li XIE, Yi-qun ZHANG, Jun-yan XU

Frontiers of Information Technology & Electronic Engineering 2018, Volume 19, Issue 11,   Pages 1444-1458 doi: 10.1631/FITEE.1800295

Abstract:

Inspired by the geometric method proposed by Jean-Pierre MAREC, we first consider the Hohmann transfer problem between two coplanar circular orbits as a static nonlinear programming problem with an inequality constraint. By the Kuhn-Tucker theorem and a second-order sufficient condition for minima, we analytically prove the global minimum of the Hohmann transfer. Two sets of feasible solutions are found: one corresponding to the Hohmann transfer is the global minimum and the other is a local minimum. We next formulate the Hohmann transfer problem as boundary value problems, which are solved by the calculus of variations. The two sets of feasible solutions are also found by numerical examples. Via static and dynamic constrained optimizations, the solution to the Hohmann transfer problem is re-discovered, and its global minimum is analytically verified using nonlinear programming.

Keywords： Hohmann transfer     Nonlinear programming     Constrained optimization     Calculus of variations    

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Optimal two-impulse space interception with multiple constraints Research Articles

Li Xie, Yi-qun Zhang, Jun-yan Xu,lixie@ncepu.edu.cn,yiqunzhang@hotmail.com,junyan_Xu@sina.cn

Frontiers of Information Technology & Electronic Engineering 2020, Volume 21, Issue 7,   Pages 963-1118 doi: 10.1631/FITEE.1800763

Abstract: We consider optimal two-impulse with . The are imposed on the terminal position of a space interceptor, impulse and impact instants, and the component-wise magnitudes of velocity impulses. These optimization problems are formulated as and solved by the calculus of variations. Slackness variable methods are used to convert all inequality constraints into equality constraints so that the Lagrange multiplier method can be used. A new is presented. As a result, an indirect optimization method is developed. Subsequently, our method is used to solve the two-impulse of free-flight ballistic missiles. A number of conclusions for have been drawn based on highly accurate numerical solutions. Specifically, by numerical examples, we show that when time and velocity impulse constraints are imposed, optimal two-impulse solutions may occur; if two-impulse instants are free, then a two-impulse space interception problem with velocity impulse constraints may degenerate to a one-impulse case.

Keywords： 空间拦截问题；变分法；多约束；两速度脉冲；多点边值问题；局部最优解；动态松弛变量法    

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Research on the Impact of Mining in Steep Seam on Ground Struc ture

Gao Mingzhong,Wang Lieping

Strategic Study of CAE 2007, Volume 9, Issue 11,   Pages 142-146

Abstract:

According to the complex geologic condition of deep excavat ion in Huainan, probability-integral method is ewployed to study the for surface displacement due to coal extraction by optimization mining layouts.  Correlation parameters about subsidence under thick loose overburden and duplication mining are obtained. The results obtained may provide guidance for the subsidence-administrating. It is valuable of this paper to other coal mines which have similar geological and mining conditions.

Keywords： steep seam     surface movement and deformation     probability-integral method     predictions    

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GaAlAs/GaAs Planar Waveguide Filters Based on Cascade Rectangular Resonators

Cai Chun,Liu Xu,Xiao Jinbiao,Ma Changfeng,Chen Lin,Ding Dong,Zhang Mingde,Sun Xiaohan,Xu Xiaole,Chen Tangsheng,Li Fuxiao

Strategic Study of CAE 2004, Volume 6, Issue 2,   Pages 61-66

Abstract:

Based on the electromagnetic model for four-port resonant filter, the optical characteristics of several filters with rectangular cascade resonators have been numerically simulated by utilizing two-dimensional FDTD method. The relationship between the number of cascade resonators and the filtering features is analyzed. The narrow-band filter with four cascade resonators implemented on GaAlAs/GaAs planar waveguide is designed and fabricated. The experiment result shows the half-width of filtering spectrum for the chip is about 10 nm, which coincides well with that of the simulation.

Keywords： WDM     planar lightwave circuits     optical filters     resonator     FDTD    

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Differential evolution based computation intelligence solver for elliptic partial differential equations Research Article

Muhammad Faisal Fateh, Aneela Zameer, Sikander M. Mirza, Nasir M. Mirza, Muhammad Saeed Aslam, Muhammad Asif Zahoor Raja,muhammad.aslam@adelaide.edu.au

Frontiers of Information Technology & Electronic Engineering 2019, Volume 20, Issue 10,   Pages 1445-1456 doi: 10.1631/FITEE.1900221

Abstract: A based methodology is introduced for the solution of elliptic s (PDEs) with Dirichlet and/or Neumann boundary conditions. The solutions evolve over bounded domains throughout the interior nodes by minimization of nodal deviations among the population. The elliptic PDEs are replaced by the corresponding system of finite difference approximation, yielding an expression for nodal residues. The global residue is declared as the root-mean-square value of the nodal residues and taken as the cost function. The standard is then used for the solution of elliptic PDEs by conversion to a minimization problem of the global residue. A set of benchmark problems consisting of both linear and nonlinear elliptic PDEs has been considered for validation, proving the effectiveness of the proposed algorithm. To demonstrate its robustness, sensitivity analysis has been carried out for various operators and parameters. Comparison of the based computed nodal values with the corresponding data obtained using the exact analytical expressions shows the accuracy and convergence of the proposed methodology.

Keywords： 差分进化；边界值问题；偏微分方程；有限差分法；数值计算    

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Title Author Date Type Operation

Hohmann transfer via constrained optimization

Li XIE, Yi-qun ZHANG, Jun-yan XU

Journal Article

Optimal two-impulse space interception with multiple constraints

Li Xie, Yi-qun Zhang, Jun-yan Xu,lixie@ncepu.edu.cn,yiqunzhang@hotmail.com,junyan_Xu@sina.cn

Journal Article

Research on the Impact of Mining in Steep Seam on Ground Struc ture

Gao Mingzhong,Wang Lieping

Journal Article

GaAlAs/GaAs Planar Waveguide Filters Based on Cascade Rectangular Resonators

Cai Chun,Liu Xu,Xiao Jinbiao,Ma Changfeng,Chen Lin,Ding Dong,Zhang Mingde,Sun Xiaohan,Xu Xiaole,Chen Tangsheng,Li Fuxiao

Journal Article

Differential evolution based computation intelligence solver for elliptic partial differential equations

Muhammad Faisal Fateh, Aneela Zameer, Sikander M. Mirza, Nasir M. Mirza, Muhammad Saeed Aslam, Muhammad Asif Zahoor Raja,muhammad.aslam@adelaide.edu.au

Journal Article