Work

Exact Controllability of a Linear Korteweg--de Vries Equation by the Flatness Approach

Year: 2019

Type: article

Abstract: We consider a linear Korteweg--de Vries equation on a bounded domain with a left Dirichlet boundary control. The controllability to the trajectories of such a system was proved in the last decade by using Carleman estimates. Here, we go a step further by establishing the exact controllability in a space of analytic functions with the aid of the flatness approach.

Source: SIAM Journal on Control and Optimization

DOI: 10.1137/18m1181390

Authors: Philippe Martin, Ivonne Rivas, Lionel Rosier, Pierre Rouchon

Institutions: Centre Automatique et Systèmes, Universidad del Valle, Centre de Robotique

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funder: Agence Nationale de la Recherche

Awards: G2010109482, Finite Time Control and Estimation for System of Systems