| Hierarchical control based on Hopfield network for nonseparable opti mization problems |
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| 引用本文： | 邢进生,李金玲. Hierarchical control based on Hopfield network for nonseparable opti mization problems[J]. 系统工程与电子技术(英文版), 2005, 16(3) |
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| 作者姓名： | 邢进生 李金玲 |
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| 作者单位： | School of Mathematics and Computer Science，Shanxi Teachers Univ，School of Management，Xi’an Jiaotong Univ Linfen 041004，P. R. China，Xi’an 710049，P. R. China |
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| 基金项目： | This project was supported by Postdoctoral Follows Foundation (2001)5 . |
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| 摘 要： | 1 .INTRODUCTIONConsider thefollowing complexsystemthat comprisesNinterconnected subsystems , the mathematicalmodel of theith subsystemisyi=fi(ci,ui,zi)gi(ci,ui,yi) ≥0ui= Hiywhereci, ui, yiandziare theithsubsystemcontrolinput ,interactioninput ,output and disturbance vec-tor respectively,andfiis the mathematics model oftheithsubsystem.It is assumedthat external distur-bancezwhich affects the systemis constant in theconsidered ti me interval of control and hence will beleft out of the syst…
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Hierarchical control based on Hopfield network for nonseparable optimization problems |
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| Xing Jinsheng,Li Jinling. Hierarchical control based on Hopfield network for nonseparable optimization problems[J]. Journal of Systems Engineering and Electronics, 2005, 16(3) |
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| Authors: | Xing Jinsheng Li Jinling |
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| Abstract: | The nonseparable optimization control problem is considered, where the overall objective function is not of an additive form with respect to subsystems. Since there exists the problem that computation is very slow when using iterative algorithms in multiobjective optimization, Hopfield optimization hierarchical network based on IPM is presented to overcome such slow computation difficulty. Asymptotic stability of this Hopfield network is proved and its equilibrium point is the optimal point of the original problem. The simulation shows that the net is effective to deal with the optimization control problem for large scale nonseparable steady state systems. |
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| Keywords: | steady state optimization multi objective optimization Hopfield network. |
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