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The Calculation of Discriminating Kernel Base on Viability Kernel
Han Yanli 1,Gao Yan 2 *
1.School of Management, University of Shanghai for Science and Technology; School of Mathematics and Information Science, Henan Polytechnich Unniversity
2.School of Management, University of Shanghai for Science and Technology
*Correspondence author
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Funding: Doctoral Program Foundation of Institution of Higher Education of China（No.No.20123120110004),Shanghai Leading Academic Discipline Projec）
Opened online:27 January 2016
Accepted by: none
Citation: Han Yanli,Gao Yan.The Calculation of Discriminating Kernel Base on Viability Kernel[OL]. [27 January 2016] http://en.paper.edu.cn/en_releasepaper/content/4676768
 
 
In this paper, an application of the computation of kernel in differential game is given. Firstly, an under-approximation of the viability kernel is computed by the backward reachable set from a closed target. Secondly, using the relationship of discriminating kernel and viability kernel, an algorithm of discriminating kernel is proposed. Finally, using the alternative theorem, victory domain can be computed.
Keywords: viability theory; differential kernel; nonsmooth analysis; reachability
 
 
 

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