| STABILIZATION OF NONLINEAR SYSTEMS WITH HOMOGENEOUS STABILITY |
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| 作者姓名： | HONG Yiguang CHENG Daizhan QIN Huashu |
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| 作者单位： | Institute Of Systems Science，Academia Sinica，Beijing 100080，China |
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| 摘 要： | 1.IntroductionTheconceptsofrelativedegreeandzerodynamicshavebeenproposedbyByrnes,Isidoriandotherstotreatlocalfeedbackstabilizationproblemofnonlinearcolltrolsystems.Oneofthekeypointsforthismethodistousecelltermanifoldtheory.1]wasoneoftheearliestworksusingcentermanifoldtechniqueinthisarea.Firstofall,wewilldescribethecentermanifoldmethodthroughanexampletoshowhowthecentermanifoldmethodcanbeusedtosolvethestabilizationproblem.Forconvenience,wecitesomebasicresultsfrom2].Theorem1.1Considerasystemw…
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STABILIZATION OF NONLINEAR SYSTEMS WITH HOMOGENEOUS STABILITY |
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| HONG Yiguang, CHENG Daizhan,QIN Huashu.STABILIZATION OF NONLINEAR SYSTEMS WITH HOMOGENEOUS STABILITY[J].Journal of Systems Science and Complexity,1999(Z1). |
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| Authors: | HONG Yiguang CHENG Daizhan QIN Huashu |
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| Abstract: | In this paper, we use center manifold theory to give a new result aboutthe stabilization of nonlinear systems. First an illustrative example is given to show ourmotivation. Then the main result by means of center manifold and homogeneous stabilityis proposed, and its application to a generalized form without the usual relative degreebecause of singularity is given. |
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| Keywords: | Stabilization of nonlinear systems center manifold homogeneous stability |
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