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A NEW CRITERION FOR STABILITY OF LINEARTIME-DEPENDENT SYSTEM
引用本文:毛成立,遇今. A NEW CRITERION FOR STABILITY OF LINEARTIME-DEPENDENT SYSTEM[J]. Annals of Differential Equations, 1997, 0(2)
作者姓名:毛成立  遇今
作者单位:燕山大学!066004(毛成立),中国航天标准化研究所!100830(遇今)
摘    要:1IntroductionWhenacontrolsystemisdesignedandanalysed,therearemanyperformanceindexesthatshouldbetakenintoaccount.Amongthem,themostimportantoneisstabilityofthesystem.Fromapracticalpointofview,astablesystemisuseful,whileanunstableoneuseless.Thereforethestudy…


A NEW CRITERION FOR STABILITY OF LINEAR TIME-DEPENDENT SYSTEM
Mao Chengli. A NEW CRITERION FOR STABILITY OF LINEAR TIME-DEPENDENT SYSTEM[J]. 微分方程年刊(英文版), 1997, 0(2)
Authors:Mao Chengli
Abstract:In the paper, we establish a new criterion for stability of system dx/dt =A(t)x, which is based on the assumption that one leading principal submatrixof order r and its complementary submatrix in A(t) both have eigenvalues withonly negative real parts. And also a feasible method for decomposition andaggregation of large-scale systems is provided.
Keywords:time-dependent  linear system   stability   submatrix
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