Controllability and Observability of Nonautonomous Riesz-Spectral Systems
Joint Authors
Sutrima, Sutrima
Indrati, Christiana Rini
Aryati, Lina
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-05-15
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
There are many industrial and biological reaction diffusion systems which involve the time-varying features where certain parameters of the system change during the process.
A part of the transport-reaction phenomena is often modelled as an abstract nonautonomous equation generated by a (generalized) Riesz-spectral operator on a Hilbert space.
The basic problems related to the equations are existence of solutions of the equations and how to control dynamical behaviour of the equations.
In contrast to the autonomous control problems, theory of controllability and observability for the nonautonomous systems is less well established.
In this paper, we consider some relevant aspects regarding the controllability and observability for the nonautonomous Riesz-spectral systems including the Sturm-Liouville systems using a C0-quasi-semigroup approach.
Three examples are provided.
The first is related to sufficient conditions for the existence of solutions and the others are to confirm the approximate controllability and observability of the nonautonomous Riesz-spectral systems and Sturm-Liouville systems, respectively.
American Psychological Association (APA)
Sutrima, Sutrima& Indrati, Christiana Rini& Aryati, Lina. 2018. Controllability and Observability of Nonautonomous Riesz-Spectral Systems. Abstract and Applied Analysis،Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1114273
Modern Language Association (MLA)
Sutrima, Sutrima…[et al.]. Controllability and Observability of Nonautonomous Riesz-Spectral Systems. Abstract and Applied Analysis No. 2018 (2018), pp.1-10.
https://search.emarefa.net/detail/BIM-1114273
American Medical Association (AMA)
Sutrima, Sutrima& Indrati, Christiana Rini& Aryati, Lina. Controllability and Observability of Nonautonomous Riesz-Spectral Systems. Abstract and Applied Analysis. 2018. Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1114273
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1114273