A Study on the Approximate Controllability of Damped Elastic Systems Using Sequence Method

In this paper, we study the approximate controllability of damped elastic systems with initial conditions without the assumptions that the corresponding linear system is approximately controllable. Firstly, the existence of mild solution is obtained by means of contraction mapping principle and oper...

Full description

Saved in:
Bibliographic Details
Published in:Qualitative theory of dynamical systems 2024-02, Vol.23 (1), Article 37
Main Authors: Gou, Haide, Li, Yongxiang
Format: Article
Language:English
Subjects:
Controllability
Difference and Functional Equations
Dynamical Systems and Ergodic Theory
Elastic systems
Initial conditions
Mathematics
Mathematics and Statistics
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we study the approximate controllability of damped elastic systems with initial conditions without the assumptions that the corresponding linear system is approximately controllable. Firstly, the existence of mild solution is obtained by means of contraction mapping principle and operator semigroup theory. Secondly, using the sequence method, a new set of sufficient conditions for approximate controllability of damped elastic systems are formulated and proved. The results in this paper are generalization and continuation of the recent results on this issue. Finally, as the application of abstract results, an example is given to illustrate our main results.
ISSN:1575-5460
1662-3592
DOI:10.1007/s12346-023-00895-9