基于自由權矩陣的Lurie時滯系統(tǒng)絕對穩(wěn)定性研究.pdf

1、中南大學碩士學位論文基于自由權矩陣的Lurie時滯系統(tǒng)絕對穩(wěn)定性研究姓名：馮智勇申請學位級別：碩士專業(yè)：控制科學與工程指導教師：吳敏何勇20080604ABSTRACTLurietime—delaysystemsareaclassofveryimportantnonlinearsystems；theproblemofabsolutestabilityforLuriesystemshasbeenattractingmuchattentio

2、nAstime—delaysarefrequentlyencounteredinvarioussystems，suchasengineeringsystems，biologicalsystemsandeconomicsystem，andareoftenthesourcesofinstabilitythestudyofabsolutestabilityforLuriesystemsisofgreattheoreticalmeaningIn

3、thisdissertation，Lurietimedelaysystemsareinvestigatedbyemployingthefree—weightingmatrixapproachcombinedwithmethodsofaugmentedLyapunov—KrasovskiifunctionalandretainingthetermsignoredinthedefivativeofLyapunov—Krasovskiifun

4、ctionalinpreviouswork，somelessconservativedelay—dependentabsolutestabilitycriteriaareobtainedForLuriesystemswithinvarianttimedelaydelaydependentabsolutestabilitycriteriaaleobtainedandformulatedintheformoflinearmatrixineq

5、ualities(LMIs)byusingaugmentedLyapunov—Krasovskiifunctionalcombinedwiththefree—weightingmatrixapproach。碭ecriteriaarethenextendedtotheanalysisoftherobustabsolutestability南rLuriesystemswithtimevaryingstructureduncertaintie

6、sForLuriesystemswithtimevaryingdelay，anintegraltermwasignoredwhendealingwiththederivativeofLyapunovKrasovskiifunctionalinpreviousworkInthisdissertation，delay—dependentabsolutestabilitycriteriaareobtainedbyapplyingfree—we

7、ightingmatrixapproachwithoutignoringtheusefulintegraltermForLurietime—delaysystemsofneutraltype，theabsolutestabilityofneutralLuriesystemswithatime—varyingdiscretedelayisinvestigatedbyusingfree—weightingmatrixapproachandc

8、onsideringtheignoredterminpreviousworkfirstlyThen，delaydependentabsolutestabilitycriteriaforneutralLuriesystemswithidenticaldiscreteandneutraldelaysandwithdifferentdiscreteandneutral—delaysareobtainedrespectivelybyusinga