About a Class of Positive Hybrid Dynamic Linear Systems and an Associate Extended Kalman-Yakubovich-Popov Lemma
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-12-13
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
de La Sen, Manuel. 2017. About a Class of Positive Hybrid Dynamic Linear Systems and an Associate Extended Kalman-Yakubovich-Popov Lemma. Discrete Dynamics in Nature and Society،Vol. 2017, no. 2017, pp.1-22.
https://search.emarefa.net/detail/BIM-1151352
Modern Language Association (MLA)
de La Sen, Manuel. About a Class of Positive Hybrid Dynamic Linear Systems and an Associate Extended Kalman-Yakubovich-Popov Lemma. Discrete Dynamics in Nature and Society No. 2017 (2017), pp.1-22.
https://search.emarefa.net/detail/BIM-1151352
American Medical Association (AMA)
de La Sen, Manuel. About a Class of Positive Hybrid Dynamic Linear Systems and an Associate Extended Kalman-Yakubovich-Popov Lemma. Discrete Dynamics in Nature and Society. 2017. Vol. 2017, no. 2017, pp.1-22.
https://search.emarefa.net/detail/BIM-1151352
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1151352