Work

Global Steady-State Controllability of One-Dimensional Semilinear Heat Equations

Year: 2004

Type: article

Abstract: We investigate the problem of exact boundary controllability of semilinear one-dimensional heat equations. We prove that it is possible to move from any steady-state to any other by means of a boundary control, provided that both are in the same connected component of the set of steady-states. The proof is based on an effective feedback stabilization procedure, which is implemented.

Source: SIAM Journal on Control and Optimization

DOI: 10.1137/s036301290342471x

Authors: Jean-Michel Coron, Emmanuel Trélat

Institution: Université Paris-Sud

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2036831763

FWCI: 9.657

Cites: 16

Cited by: 172

Related to: 10