一类广义时滞系统耗散控制问题的分析-analysis of dissipative control problems for a class of generalized delay systems.docxVIP
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一类广义时滞系统耗散控制问题的分析-analysis of dissipative control problems for a class of generalized delay systems
statedelayisconsidered.BasedonthesingularstochasticLyapunovmethod,asufficientconditionisfirstlyderivedforthesystemtobemean-squareasymptoticallystableandstrictlydissipativeusinglinearmatrixinequality.Thenthestatefeedbackcontrollerisdesignedsuchthattheclosed-loopsystemtobemean-squareasymptoticallystableandstrictlydissipative.Keywordssingulartime-delaysystem;dissipativity;statefeedback;linearmatrixinequality;delay-dependent.目录摘要...................................................................Abstract...............................................................iii1引言.................................................................11.1广义系统简介................................................11.2耗散性的研究意义及发展现状..................................22预备知识.............................................................43广义时滞系统的时滞相关耗散控制.......................................73.1问题描述...................................................83.2主要结果...................................................83.3数值算例...................................................143.4本章小结...................................................154一类不确定广义系统的时滞相关耗散控制.................................164.1问题描述...................................................164.2主要结果...................................................174.3数值算例...................................................244.4本章小结...................................................265随机时滞奇异系统的耗散控制...........................................275.1问题描述...................................................275.2主要结果...................................................295.3数值算例...................................................345.4本章小结...................................................346结论.................................................................35参考文献...............................................................37致谢...................................................................42附录1攻读学位期间发表的论文目录.......................................431引言1.1广义系统简介广义系统是一类比正常系统更具广泛形式的
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