{"title":"带脉冲的广义可扩展束方程的可控性","authors":"G. Arthi, Chao Xu","doi":"10.1109/CCA.2013.6662868","DOIUrl":null,"url":null,"abstract":"In this paper, we investigate the controllability problem for the generalized damped equation with impulses in Banach spaces. Sufficient conditions for controllability results are derived by means of the Sadovskii fixed point theorem combined with a noncompact condition on the cosine family of operators. An example is discussed to illustrate the efficiency of the result.","PeriodicalId":379739,"journal":{"name":"2013 IEEE International Conference on Control Applications (CCA)","volume":"92 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Controllability of generalized extensible beam equation with impulses\",\"authors\":\"G. Arthi, Chao Xu\",\"doi\":\"10.1109/CCA.2013.6662868\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we investigate the controllability problem for the generalized damped equation with impulses in Banach spaces. Sufficient conditions for controllability results are derived by means of the Sadovskii fixed point theorem combined with a noncompact condition on the cosine family of operators. An example is discussed to illustrate the efficiency of the result.\",\"PeriodicalId\":379739,\"journal\":{\"name\":\"2013 IEEE International Conference on Control Applications (CCA)\",\"volume\":\"92 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-11-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2013 IEEE International Conference on Control Applications (CCA)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CCA.2013.6662868\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2013 IEEE International Conference on Control Applications (CCA)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CCA.2013.6662868","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Controllability of generalized extensible beam equation with impulses
In this paper, we investigate the controllability problem for the generalized damped equation with impulses in Banach spaces. Sufficient conditions for controllability results are derived by means of the Sadovskii fixed point theorem combined with a noncompact condition on the cosine family of operators. An example is discussed to illustrate the efficiency of the result.