About a class of positive hybrid dynamic linear systems and an associate extended Kalman-Yakubovich-Popov lemma
type: Item
instance of: scholarly article
title: About a class of positive hybrid dynamic linear systems and an associate extended Kalman-Yakubovich-Popov lemma
zbMATH Open document ID: 1397.93096
DOI: 10.1155/2017/3928970
published in: Discrete Dynamics in Nature and Society
publication date: 2018-09-27T00:00:00Z
review text: Summary: This paper formulates an ``ad hoc'' robust version under parametrical disturbances of the discrete version of the Kalman-Yakubovich-Popov Lemma for a class of positive hybrid dynamic linear systems which consist of a continuous-time system coupled with a discrete-time or a digital one. An extended discrete system, whose state vector contains both the digital one and the discretization of the continuous-time one at sampling instants, is a key analysis element in the formulation. The hyperstability and asymptotic hyperstability properties of the studied class of positive hybrid systems under feedback from any member of a nonlinear (and, eventually, time-varying) class of controllers, which satisfies a Popov's-type inequality, are also investigated as linked to the positive realness of the associated transfer matrices.
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93D21
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93C62
Mathematics Subject Classification ID: 93D20
Mathematics Subject Classification ID: 93B52
zbMATH DE Number: 6944820
zbMATH Keywords: positive hybrid dynamic linear systems
zbMATH Keywords: Kalman-Yakubovich-Popov lemma
zbMATH Keywords: discrete time system
zbMATH Keywords: digital system
zbMATH Keywords: asymptotic hyperstability
zbMATH Keywords: feedback
author: M. De la Sen
MaRDI profile type: Publication
Wikidata QID: Q57674547
full work available at URL: https://doi.org/10.1155/2017/3928970
OpenAlex ID: W2774867129
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description: scientific article; zbMATH DE number 6944820