| Partial stability of a class of large-scale systems with partiallystable isolated subsystems |
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| 作者姓名： | Jian Jigui Luo Haigeng & Liao Xiaoxin. College of Science China Three Gorges University Yichang P. R. China . |
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| 作者单位： | Jian Jigui 1，2，Luo Haigeng2 & Liao Xiaoxin21. College of Science，China Three Gorges University，Yichang 443002，P. R. China;2. Department of Control Systems & Engineering，Huazhong University of Science & Technology，Wuhan 430074，P. R. China |
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| 基金项目： | ThisprojectwassupportedbytheNationalNaturalScienceFoundationofChina(60274007,60474011),theScientificResearchProjectsofHubeiProvincialDepartmentofEducation(D200560001),andHubeiProvincialNaturalScienceFoundation(2004ABA055). |
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| 摘 要： | 1.INTRODUCTION Partialstability(i.e.stabilitywithrespecttopartof thesystem’sstatevariables)playsanimportantrole instudyingofcontroltheoryanditsapplica tions1～8],becausethestabilityofahigher order equationsisjustequivalenttothatofpartialstate variablesofacorrespondingsystemsoftheequations.Forsomeproblems,onemaybeinterestedonlyin somevariables,andinmethodologyitisverydifficult tosolveonceandforalltheproblemsabouthigher di mensionalsystems.Forexample,inmultispecies populationinteractionswh…
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Partial stability of a class of large-scale systems with partially stable isolated subsystems |
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| Jian Jigui ,,Luo Haigeng & Liao Xiaoxin. College of Science,China Three Gorges University,Yichang ,P. R. China,..Partial stability of a class of large-scale systems with partiallystable isolated subsystems[J].Journal of Systems Engineering and Electronics,2005,16(2). |
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| Authors: | Jian Jigui Luo Haigeng Liao Xiaoxin |
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| Institution: | 1. College of Science, China Three Gorges University, Yichang 443002, P. R. China;Department of Control Systems & Engineering,Huazhong University of Science & Technology, Wuhan 430074, P. R. China
2. Department of Control Systems & Engineering,Huazhong University of Science & Technology, Wuhan 430074, P. R. China |
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| Abstract: | The problem of partial stability is investigated for a class of continuous-time large-scale systems. Under assumption that the null solution of the isolated subsystems is stable, based on decomposition-aggregation methods and Lyapunov second method, some theorems concerning the globally partial asymptotic stability and globally partial exponential stability are obtained via utilizing the inequality analysis technique and comparison technique. Finally, an example is presented to illustrate the results. |
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| Keywords: | large-scale systems partial stability inequality comparison principle Lyapunov function |
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