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时滞分布参数控制系统指数镇定的LMI方法

DOI: 10.3724/SP.J.1004.2009.00299, PP. 299-304

Keywords: Distributedparameter,stabilization,delay,linearmatrixinequality(LMI)

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Abstract:

?Arenovatingmethodfordistributedparametercontrolsystemswithconstants,varying-delays,andmulti-varying-delaysisputforward.ByconstructingaverageLyapunovfunctionsandemployinglinearmatrixinequality(LMI)andothermatrixinequalitytechnologies,severalsufficientconditionsforexponentialstabilizationarederived.Inthismethod,theconditionsaredelay-dependentandatthesametime,theupper-boundofexponentialconvergencerateisobtained.Inaddition,thedistinctiveadvantageofourmethodisthatthecriteriamentionedinthepaperareeasytocheck,soitcanbeappliedtopracticeeasily.Finally,acomputationexampleisgiventoillustratetheproposedmethod.

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