The properties of the solution for a class of switched systems with internally forced switching

Abstract In this paper, the dynamic behavior of a class of switched systems with internally forced switching (IFS) is investigated. By introducing the definitions of continuous dependence and differentiability, the continuous dependence and differentiability of the solution relative to the control f...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Huanting Li, Xiankang Chen
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Switched systems Internally forced switching Continuous dependence Differentiability Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/7fb5f2e56aeb4baca1184cbcc76014ad
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:7fb5f2e56aeb4baca1184cbcc76014ad
record_format	dspace
spelling	oai:doaj.org-article:7fb5f2e56aeb4baca1184cbcc76014ad2021-11-14T12:10:26ZThe properties of the solution for a class of switched systems with internally forced switching10.1186/s13662-021-03641-01687-1847https://doaj.org/article/7fb5f2e56aeb4baca1184cbcc76014ad2021-11-01T00:00:00Zhttps://doi.org/10.1186/s13662-021-03641-0https://doaj.org/toc/1687-1847Abstract In this paper, the dynamic behavior of a class of switched systems with internally forced switching (IFS) is investigated. By introducing the definitions of continuous dependence and differentiability, the continuous dependence and differentiability of the solution relative to the control function are obtained. In the past studies, the optimal control problem given by IFS mainly focused on a special class of controlled systems (the piece affine system). Our results lay a good foundation for studying the more general internally forced switching problem.Huanting LiXiankang ChenSpringerOpenarticleSwitched systemsInternally forced switchingContinuous dependenceDifferentiabilityMathematicsQA1-939ENAdvances in Difference Equations, Vol 2021, Iss 1, Pp 1-17 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Switched systems Internally forced switching Continuous dependence Differentiability Mathematics QA1-939
spellingShingle	Switched systems Internally forced switching Continuous dependence Differentiability Mathematics QA1-939 Huanting Li Xiankang Chen The properties of the solution for a class of switched systems with internally forced switching
description	Abstract In this paper, the dynamic behavior of a class of switched systems with internally forced switching (IFS) is investigated. By introducing the definitions of continuous dependence and differentiability, the continuous dependence and differentiability of the solution relative to the control function are obtained. In the past studies, the optimal control problem given by IFS mainly focused on a special class of controlled systems (the piece affine system). Our results lay a good foundation for studying the more general internally forced switching problem.
format	article
author	Huanting Li Xiankang Chen
author_facet	Huanting Li Xiankang Chen
author_sort	Huanting Li
title	The properties of the solution for a class of switched systems with internally forced switching
title_short	The properties of the solution for a class of switched systems with internally forced switching
title_full	The properties of the solution for a class of switched systems with internally forced switching
title_fullStr	The properties of the solution for a class of switched systems with internally forced switching
title_full_unstemmed	The properties of the solution for a class of switched systems with internally forced switching
title_sort	properties of the solution for a class of switched systems with internally forced switching
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/7fb5f2e56aeb4baca1184cbcc76014ad
work_keys_str_mv	AT huantingli thepropertiesofthesolutionforaclassofswitchedsystemswithinternallyforcedswitching AT xiankangchen thepropertiesofthesolutionforaclassofswitchedsystemswithinternallyforcedswitching AT huantingli propertiesofthesolutionforaclassofswitchedsystemswithinternallyforcedswitching AT xiankangchen propertiesofthesolutionforaclassofswitchedsystemswithinternallyforcedswitching
_version_	1718429413599608832

The properties of the solution for a class of switched systems with internally forced switching

Ejemplares similares