{"title":"一类特殊PDE系统的Lyapunov稳定性分析","authors":"H. Shirinabadi, H. Talebi","doi":"10.1109/ICCIAUTOM.2011.6356735","DOIUrl":null,"url":null,"abstract":"In this paper, stability analysis for Partial Differential Equation systems is investigated using lyapunov stability theorem. Both parabolic and hyperbolic PDEs as representatives of heat and wave equations will be considered, respectively. we also consider Ginzburg-Landau equation a kind of complex valued PDE. The condition for asymptotic stability will be obtained using the presented analysis.","PeriodicalId":438427,"journal":{"name":"The 2nd International Conference on Control, Instrumentation and Automation","volume":"30 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Lyapunov stability analysis of special class of PDE systems\",\"authors\":\"H. Shirinabadi, H. Talebi\",\"doi\":\"10.1109/ICCIAUTOM.2011.6356735\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, stability analysis for Partial Differential Equation systems is investigated using lyapunov stability theorem. Both parabolic and hyperbolic PDEs as representatives of heat and wave equations will be considered, respectively. we also consider Ginzburg-Landau equation a kind of complex valued PDE. The condition for asymptotic stability will be obtained using the presented analysis.\",\"PeriodicalId\":438427,\"journal\":{\"name\":\"The 2nd International Conference on Control, Instrumentation and Automation\",\"volume\":\"30 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The 2nd International Conference on Control, Instrumentation and Automation\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICCIAUTOM.2011.6356735\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The 2nd International Conference on Control, Instrumentation and Automation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICCIAUTOM.2011.6356735","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Lyapunov stability analysis of special class of PDE systems
In this paper, stability analysis for Partial Differential Equation systems is investigated using lyapunov stability theorem. Both parabolic and hyperbolic PDEs as representatives of heat and wave equations will be considered, respectively. we also consider Ginzburg-Landau equation a kind of complex valued PDE. The condition for asymptotic stability will be obtained using the presented analysis.
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