Controllability and observability of nonautonomous Riesz-spectral systems
type: Item
instance of: scholarly article
title: Controllability and observability of nonautonomous Riesz-spectral systems
zbMATH Open document ID: 1470.93029
DOI: 10.1155/2018/4210135
author: Sutrima
author: Ch. Rini Indrati
author: Lina Aryati
published in: Abstract and Applied Analysis
publication date: 2018-08-30T00:00:00Z
review text: Summary: 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 \(C_0\)-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.
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93B07
Mathematics Subject Classification ID: 93C25
zbMATH DE Number: 6929587
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/4210135
OpenAlex ID: W2804621276
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description: scientific article; zbMATH DE number 6929587