{"title":"On Generalized Two Dimensional Linear Hybrid Dynamical Systems","authors":"Ioannis Dassios","doi":"10.1007/s12346-024-01085-x","DOIUrl":null,"url":null,"abstract":"<p>We first investigate a class of generalized non-homogeneous two-dimensional hybrid systems and derive formulas for their solutions. We then obtain the transfer matrix and characteristic equation specific to this system type. Examples are provided to illustrate our theory.</p>","PeriodicalId":48886,"journal":{"name":"Qualitative Theory of Dynamical Systems","volume":"184 1","pages":""},"PeriodicalIF":1.9000,"publicationDate":"2024-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Qualitative Theory of Dynamical Systems","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s12346-024-01085-x","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We first investigate a class of generalized non-homogeneous two-dimensional hybrid systems and derive formulas for their solutions. We then obtain the transfer matrix and characteristic equation specific to this system type. Examples are provided to illustrate our theory.
期刊介绍：
Qualitative Theory of Dynamical Systems (QTDS) publishes high-quality peer-reviewed research articles on the theory and applications of discrete and continuous dynamical systems. The journal addresses mathematicians as well as engineers, physicists, and other scientists who use dynamical systems as valuable research tools. The journal is not interested in numerical results, except if these illustrate theoretical results previously proved.
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