An explicit solution to right factorization with application in eigenstructure assignment-中国期刊网

摘要 Basedonthewell-knownLeverrieralgorithm,asimpleexplicitsolutiontorightfactorizationofalinearsystemisestablished.Thissolutionisexpressedbythecontrollabilitymatrixofthegivensystemandasymmetricoperatormatrix.ApplicationsofthissolutiontoatypeofgeneralizedSylvestermatrixequationsandtheproblemofparametriceigenstructureassignmentbystatefeedbackareinvestigated,andgeneralcompleteparametricsolutionstothesetwoproblemsarededuced.Thesenewsolutionsaresimple,andpossessdesirablestructuralpropertieswhichrenderthesolutionsreadilyimplementable.Anexampledemonstratestheeffectoftheproposedresults.

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An explicit solution to right factorization with application in eigenstructure assignment

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An explicit solution to right factorization with application in eigenstructure assignment

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