Sign Stability of Dual Switching Linear Continuous-Time Positive Systems

This paper investigates 1-moment exponential stability and exponential mean-square stability (EMS stability) under average dwell time (ADT) and the preset deterministic switching mechanism of dual switching linear continuous-time positive systems when a numerical realization does not exist. The sign...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Liang Liu, Fei Long, Lipo Mo, Qianqian Mu
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	1-moment exponential stability exponential mean-square stability sign stability dual switching linear continuous-time positive systems symmetrical qualitative stability Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/4d50f1756c014d16bc5fc579b346fdec
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:4d50f1756c014d16bc5fc579b346fdec
record_format	dspace
spelling	oai:doaj.org-article:4d50f1756c014d16bc5fc579b346fdec2021-11-25T19:07:29ZSign Stability of Dual Switching Linear Continuous-Time Positive Systems10.3390/sym131121942073-8994https://doaj.org/article/4d50f1756c014d16bc5fc579b346fdec2021-11-01T00:00:00Zhttps://www.mdpi.com/2073-8994/13/11/2194https://doaj.org/toc/2073-8994This paper investigates 1-moment exponential stability and exponential mean-square stability (EMS stability) under average dwell time (ADT) and the preset deterministic switching mechanism of dual switching linear continuous-time positive systems when a numerical realization does not exist. The signs of subsystem matrices, but not their structures of magnitude, are key information that causes a qualitative concept of stability called sign stability. Both 1-moment exponential stability and EMS stability, which are the traditional stability concepts, are generalized intrinsically. Hence, both 1-moment exponential sign stability and EMS sign stability are introduced and are proven based on sign equivalency. It is shown that they are symmetrically and qualitatively stable. Notably, the notion of stability can be checked quantitatively using some examples.Liang LiuFei LongLipo MoQianqian MuMDPI AGarticle1-moment exponential stabilityexponential mean-square stabilitysign stabilitydual switching linear continuous-time positive systemssymmetrical qualitative stabilityMathematicsQA1-939ENSymmetry, Vol 13, Iss 2194, p 2194 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	1-moment exponential stability exponential mean-square stability sign stability dual switching linear continuous-time positive systems symmetrical qualitative stability Mathematics QA1-939
spellingShingle	1-moment exponential stability exponential mean-square stability sign stability dual switching linear continuous-time positive systems symmetrical qualitative stability Mathematics QA1-939 Liang Liu Fei Long Lipo Mo Qianqian Mu Sign Stability of Dual Switching Linear Continuous-Time Positive Systems
description	This paper investigates 1-moment exponential stability and exponential mean-square stability (EMS stability) under average dwell time (ADT) and the preset deterministic switching mechanism of dual switching linear continuous-time positive systems when a numerical realization does not exist. The signs of subsystem matrices, but not their structures of magnitude, are key information that causes a qualitative concept of stability called sign stability. Both 1-moment exponential stability and EMS stability, which are the traditional stability concepts, are generalized intrinsically. Hence, both 1-moment exponential sign stability and EMS sign stability are introduced and are proven based on sign equivalency. It is shown that they are symmetrically and qualitatively stable. Notably, the notion of stability can be checked quantitatively using some examples.
format	article
author	Liang Liu Fei Long Lipo Mo Qianqian Mu
author_facet	Liang Liu Fei Long Lipo Mo Qianqian Mu
author_sort	Liang Liu
title	Sign Stability of Dual Switching Linear Continuous-Time Positive Systems
title_short	Sign Stability of Dual Switching Linear Continuous-Time Positive Systems
title_full	Sign Stability of Dual Switching Linear Continuous-Time Positive Systems
title_fullStr	Sign Stability of Dual Switching Linear Continuous-Time Positive Systems
title_full_unstemmed	Sign Stability of Dual Switching Linear Continuous-Time Positive Systems
title_sort	sign stability of dual switching linear continuous-time positive systems
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/4d50f1756c014d16bc5fc579b346fdec
work_keys_str_mv	AT liangliu signstabilityofdualswitchinglinearcontinuoustimepositivesystems AT feilong signstabilityofdualswitchinglinearcontinuoustimepositivesystems AT lipomo signstabilityofdualswitchinglinearcontinuoustimepositivesystems AT qianqianmu signstabilityofdualswitchinglinearcontinuoustimepositivesystems
_version_	1718410276292788224

Sign Stability of Dual Switching Linear Continuous-Time Positive Systems

Ejemplares similares