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ANALYSIS OF THE BOUNDARY SINGULARITY OF A SINGULAR OPTIMAL-CONTROL PROBLEM
ZHANG, WT; FENG, DX
1991
Source PublicationLECTURE NOTES IN CONTROL AND INFORMATION SCIENCES
ISSN0170-8643
Volume159Pages:203-210
AbstractIn this paper, we consider a singular optimal control problem with cost function containing a small parameter epsilon. Using the boundary layer theory developped by Lions in [1], we give some estimates of the singular optimal control u(epsilon) in Sobolev space. On the basis of the interior estimate obtained in [4], we analyse the boundary singularity of u(epsilon). According to the generalized Pohozaev identity [3], we obtain the estimation of \\partial derivative u(epsilon)/partial derivative nu\\L2(GAMMA).
Language英语
WOS Research AreaAutomation & Control Systems ; Computer Science
WOS SubjectAutomation & Control Systems ; Computer Science, Information Systems
WOS IDWOS:A1991KQ96900023
PublisherSPRINGER VERLAG
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/28200
Collection中国科学院数学与系统科学研究院
AffiliationCHINESE ACAD SCI,INST SYST SCI,BEIJING,PEOPLES R CHINA
Recommended Citation
GB/T 7714
ZHANG, WT,FENG, DX. ANALYSIS OF THE BOUNDARY SINGULARITY OF A SINGULAR OPTIMAL-CONTROL PROBLEM[J]. LECTURE NOTES IN CONTROL AND INFORMATION SCIENCES,1991,159:203-210.
APA ZHANG, WT,&FENG, DX.(1991).ANALYSIS OF THE BOUNDARY SINGULARITY OF A SINGULAR OPTIMAL-CONTROL PROBLEM.LECTURE NOTES IN CONTROL AND INFORMATION SCIENCES,159,203-210.
MLA ZHANG, WT,et al."ANALYSIS OF THE BOUNDARY SINGULARITY OF A SINGULAR OPTIMAL-CONTROL PROBLEM".LECTURE NOTES IN CONTROL AND INFORMATION SCIENCES 159(1991):203-210.
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