{"title":"能量稳定的港口-哈密顿系统","authors":"Patrick Buchfink , Silke Glas , Hans Zwart","doi":"10.1016/j.aml.2025.109784","DOIUrl":null,"url":null,"abstract":"<div><div>We combine energy-stable and port-Hamiltonian (<span>pH</span>) systems to obtain <em>energy-stable port-Hamiltonian (<span>es-pH</span>) systems</em>. The idea is to extend the known energy-stable systems with an input–output port, which results in a <span>pH</span> formulation. One advantage of the new <span>es-pH</span> formulation is that it naturally preserves its <span>es-pH</span> structure throughout discretization (in space and time) and model reduction.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"173 ","pages":"Article 109784"},"PeriodicalIF":2.8000,"publicationDate":"2025-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Energy-stable port-Hamiltonian systems\",\"authors\":\"Patrick Buchfink , Silke Glas , Hans Zwart\",\"doi\":\"10.1016/j.aml.2025.109784\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>We combine energy-stable and port-Hamiltonian (<span>pH</span>) systems to obtain <em>energy-stable port-Hamiltonian (<span>es-pH</span>) systems</em>. The idea is to extend the known energy-stable systems with an input–output port, which results in a <span>pH</span> formulation. One advantage of the new <span>es-pH</span> formulation is that it naturally preserves its <span>es-pH</span> structure throughout discretization (in space and time) and model reduction.</div></div>\",\"PeriodicalId\":55497,\"journal\":{\"name\":\"Applied Mathematics Letters\",\"volume\":\"173 \",\"pages\":\"Article 109784\"},\"PeriodicalIF\":2.8000,\"publicationDate\":\"2025-10-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Applied Mathematics Letters\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0893965925003349\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematics Letters","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0893965925003349","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
We combine energy-stable and port-Hamiltonian (pH) systems to obtain energy-stable port-Hamiltonian (es-pH) systems. The idea is to extend the known energy-stable systems with an input–output port, which results in a pH formulation. One advantage of the new es-pH formulation is that it naturally preserves its es-pH structure throughout discretization (in space and time) and model reduction.
期刊介绍:
The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.