简介:Thispaperstudiesthecontrollabilityandobservabilitymeasuresofstructuralvi?brationandacousticradiationandproposesameasureofmodalobservabilitybasedonacousticpressureoutputsandmeasuresofcontrollabilityandobservabilityofacousticradiationbycombiningthemeasuresofmodalcontrollabilityandobservabilityofvibrationmodeswithcorrespondingmodalacousticradiationefficiencies.Aplatewithcontrolforceinputsandvibrationalresponseoutputsandacousticpressureoutputsisinvolvedtoshowthemodalcontrollabilityandobservabilitymeasuresofvibrationmodesandmeasuresofcontrollabilityandobservabil?ityofstructuralvibrationandacousticradiation.Observabilitymeasuresbasedonvibrationalresponseoutputsandacousticpressureoutputsarecomparedandtheemphasisisonthemea?suresbasedontheacousticpressureoutputs.Finallytheapplicationandusefulnessofthecontrollabilityandobservabilitymeasurestoactivecontrolofstructuralvibrationandacous?ticradiationareillustratedandcompared.Itshowsthatthecontrollabilityandobservabilitymeasuresprovideusefulguidanceforactivecontroldesignespeciallyinoptimalactuatorandsensorplacement.
简介:纸试图扩大坡度的地区性的observability的观点到semilinear夸张大小写,以便重建在领域进化的一个分区的起始的条件的坡度。我们以一个asymptotically线性的系统开始,途径基于Hilbert唯一方法(嗡嗡声)和Schauders的延期固定的点定理。分析导致数字地成功地与例子和模拟被实现并且说明的一个算法。
简介:这份报纸为1-D板方程wtt+wxxxx+q处理锋利的observability不平等的问题(t,x)0边界与二打的w=调节w=wxx=0或w=wx=0,并且q(t,x)是一个合适的潜力。锋利的observability常数具有的作者表演订$\exp\left({C\left\|q\right\|_\infty^{\tfrac{2}{7}}}\right)$\exp\left({C\left\|q\right\|_\infty^{\tfrac{2}{7}}}\right)为q1。导出需要的observability不平等的主要工具是全球Carleman不平等,基于一个新点为第四个顺序板操作员的明智的不平等。
简介:Thecontrollabilityandobservabilityofnetworkedcontrolsystemsarestudied.Aimingatthenetworkedcontrolsystemwithtime-varyingdelay,thesufficientandnecessaryconditionsforcompletecontrollabilityandcompleteobservabilityofthesystemarepresented,respectively.BecauseofMarkovcharacteristicofthenetwork-induceddelay,intermsofstochastictheory,asufficientandnecessaryconditionforcompletelymeanvaluecontrollabilityofnetworkedcontrolsystemsisobtained.Further,theconditionsthatthecontrollabilityandobservabilityofnetworkedcontrolsystemsareequivalenttotheinitialtime-invariantsystemaregiven.Controllabilityandobservabilityrealizationindexesarealsodiscussed,respectively.Thenumericalexampledemonstratestheeffectivenessoftheproposedtheory.