Work

Stabilization with decay estimate of infinite dimensional second order systems by bilinear control damping

Year: 2024

Type: article

Abstract: This paper deals with stabilization and energy decay rates of second-order bilinear systems in a Hilbert space. Namely, we examine a class of bounded feedback control to investigate weak, strong, and exponential stabilization. Firstly, we discuss the well-posedness of mild solutions of the considered systems using the cosine family. Secondly, we provide some sufficient conditions to ensure feedback stabilization for the bilinear systems which are presented in terms of observation estimates. Moreover, we derive an explicit decay estimate of the energy in the case of strong stabilization. Finally, we offer examples with numerical simulations to demonstrate the applicability of our theoretical results.

Source: Evolution equations and control theory

DOI: 10.3934/eect.2024065

Authors: Khalil El Kazoui, Hassan Ezzaki, Abed Boulouz

Institution: Université Ibn Zohr

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4405921740

FWCI: 0.48

Cites:

Cited by: 3

Related to: 10