Work

Stabilization of a cyclic network of strings by nodal control

Year: 2024

Type: article

Abstract: We consider a network of coupled strings that contains a cycle. We show that boundary feedback stabilization that uses only data of the state at boundary nodes that are not contained in the cycle is in general impossible. We demonstrate that also with control actuators that act at the interior nodes contained in the cycle with certain standard control laws that use only Neumann control action the situation does not improve and the system is still not stable. We prove that with an actuator that uses also Dirichlet control action and is located within the cycle, exponential stabilization is possible.

Source: Journal of Evolution Equations

DOI: 10.1007/s00028-024-01030-0

Author: Martin Gugat

Institution: Friedrich-Alexander-Universität Erlangen-Nürnberg

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

Funders: Friedrich-Alexander-Universität Erlangen-Nürnberg, Deutsche Forschungsgemeinschaft