Lyapunov Spectrum Local Assignability of Linear Discrete Time-Varying Systems by Static Output Feedback

We consider a linear discrete time-varying input-output system. Our goal is to study the problem of local assignability of the Lyapunov spectrum by static output feedback control. To this end we introduce the notion of uniform consistency for discrete-time linear systems which is the extension of th...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Adam Czornik, Evgenii Makarov, Michal Niezabitowski, Svetlana Popova, Vasilii Zaitsev
Formato:	article
Lenguaje:	EN
Publicado:	IEEE 2021
Materias:	Linear discrete time-varying input-output systems local assignability Lyapunov spectrum pole assignment problem static output feedback uniform consistency Electrical engineering. Electronics. Nuclear engineering TK1-9971
Acceso en línea:	https://doaj.org/article/8e5c9f90514e44c4887a797ea4190a95
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:8e5c9f90514e44c4887a797ea4190a95
record_format	dspace
spelling	oai:doaj.org-article:8e5c9f90514e44c4887a797ea4190a952021-11-23T00:01:28ZLyapunov Spectrum Local Assignability of Linear Discrete Time-Varying Systems by Static Output Feedback2169-353610.1109/ACCESS.2021.3114767https://doaj.org/article/8e5c9f90514e44c4887a797ea4190a952021-01-01T00:00:00Zhttps://ieeexplore.ieee.org/document/9546787/https://doaj.org/toc/2169-3536We consider a linear discrete time-varying input-output system. Our goal is to study the problem of local assignability of the Lyapunov spectrum by static output feedback control. To this end we introduce the notion of uniform consistency for discrete-time linear systems which is the extension of the notion of uniform complete controllability to input-output systems. The property of uniform consistency is investigated, some necessary and sufficient conditions for this property are obtained. The notion of uniform local attainability is introduced for the closed-loop system. We prove that uniform consistency implies uniform local attainability of the closed-loop system. The property of local Lyapunov reducibility is introduced for the closed-loop system. We prove that uniform local attainability implies local Lyapunov reducibility. We prove that, for a locally Lyapunov reducible system, the Lyapunov spectrum is locally assignable, if the free system is diagonalizable or regular (in the Lyapunov sence) or has the stable Lyapunov spectrum.Adam CzornikEvgenii MakarovMichal NiezabitowskiSvetlana PopovaVasilii ZaitsevIEEEarticleLinear discrete time-varying input-output systemslocal assignabilityLyapunov spectrumpole assignment problemstatic output feedbackuniform consistencyElectrical engineering. Electronics. Nuclear engineeringTK1-9971ENIEEE Access, Vol 9, Pp 134174-134191 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Linear discrete time-varying input-output systems local assignability Lyapunov spectrum pole assignment problem static output feedback uniform consistency Electrical engineering. Electronics. Nuclear engineering TK1-9971
spellingShingle	Linear discrete time-varying input-output systems local assignability Lyapunov spectrum pole assignment problem static output feedback uniform consistency Electrical engineering. Electronics. Nuclear engineering TK1-9971 Adam Czornik Evgenii Makarov Michal Niezabitowski Svetlana Popova Vasilii Zaitsev Lyapunov Spectrum Local Assignability of Linear Discrete Time-Varying Systems by Static Output Feedback
description	We consider a linear discrete time-varying input-output system. Our goal is to study the problem of local assignability of the Lyapunov spectrum by static output feedback control. To this end we introduce the notion of uniform consistency for discrete-time linear systems which is the extension of the notion of uniform complete controllability to input-output systems. The property of uniform consistency is investigated, some necessary and sufficient conditions for this property are obtained. The notion of uniform local attainability is introduced for the closed-loop system. We prove that uniform consistency implies uniform local attainability of the closed-loop system. The property of local Lyapunov reducibility is introduced for the closed-loop system. We prove that uniform local attainability implies local Lyapunov reducibility. We prove that, for a locally Lyapunov reducible system, the Lyapunov spectrum is locally assignable, if the free system is diagonalizable or regular (in the Lyapunov sence) or has the stable Lyapunov spectrum.
format	article
author	Adam Czornik Evgenii Makarov Michal Niezabitowski Svetlana Popova Vasilii Zaitsev
author_facet	Adam Czornik Evgenii Makarov Michal Niezabitowski Svetlana Popova Vasilii Zaitsev
author_sort	Adam Czornik
title	Lyapunov Spectrum Local Assignability of Linear Discrete Time-Varying Systems by Static Output Feedback
title_short	Lyapunov Spectrum Local Assignability of Linear Discrete Time-Varying Systems by Static Output Feedback
title_full	Lyapunov Spectrum Local Assignability of Linear Discrete Time-Varying Systems by Static Output Feedback
title_fullStr	Lyapunov Spectrum Local Assignability of Linear Discrete Time-Varying Systems by Static Output Feedback
title_full_unstemmed	Lyapunov Spectrum Local Assignability of Linear Discrete Time-Varying Systems by Static Output Feedback
title_sort	lyapunov spectrum local assignability of linear discrete time-varying systems by static output feedback
publisher	IEEE
publishDate	2021
url	https://doaj.org/article/8e5c9f90514e44c4887a797ea4190a95
work_keys_str_mv	AT adamczornik lyapunovspectrumlocalassignabilityoflineardiscretetimevaryingsystemsbystaticoutputfeedback AT evgeniimakarov lyapunovspectrumlocalassignabilityoflineardiscretetimevaryingsystemsbystaticoutputfeedback AT michalniezabitowski lyapunovspectrumlocalassignabilityoflineardiscretetimevaryingsystemsbystaticoutputfeedback AT svetlanapopova lyapunovspectrumlocalassignabilityoflineardiscretetimevaryingsystemsbystaticoutputfeedback AT vasiliizaitsev lyapunovspectrumlocalassignabilityoflineardiscretetimevaryingsystemsbystaticoutputfeedback
_version_	1718417387561156608

Lyapunov Spectrum Local Assignability of Linear Discrete Time-Varying Systems by Static Output Feedback

Ejemplares similares