Asymptotic stability for a class of boundary control systems with non-linear damping**This work was supported by French sponsored projects HAMEC-MOPSYS and Labex ACTION under reference codes ANR-11-BS03-0002 and ANR-11-LABX-0001-01 respectively. | Zendy

Hans Zwart | Zendy; Héctor Ramírez | Zendy; Yann Le Gorrec | Zendy

Open Access

Asymptotic stability for a class of boundary control systems with non-linear damping**This work was supported by French sponsored projects HAMEC-MOPSYS and Labex ACTION under reference codes ANR-11-BS03-0002 and ANR-11-LABX-0001-01 respectively.

Author(s) -

Hans Zwart,

Héctor Ramírez,

Yann Le Gorrec

Publication year - 2016

Publication title -

ifac-papersonline

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.308

H-Index - 72

eISSN - 2405-8971

pISSN - 2405-8963

DOI - 10.1016/j.ifacol.2016.07.458

Subject(s) - hamiltonian system , observable , boundary (topology) , hamiltonian (control theory) , exponential stability , linear system , control theory (sociology) , class (philosophy) , work (physics) , linear control systems , linear stability , port (circuit theory) , mathematics , instability , mathematical analysis , physics , nonlinear system , computer science , control (management) , mathematical optimization , engineering , mechanics , quantum mechanics , artificial intelligence , electrical engineering , thermodynamics

The asymptotic stability of boundary controlled port-Hamiltonian systems defined on a 1D spatial domain interconnected to a class of non-linear boundary damping is addressed. It is shown that if the port-Hamiltonian system is approximately observable, then any boundary damping which behaves linear for small velocities asymptotically stabilizes the system

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research