Indirect linear locally distributed damping of coupled systems | Zendy

Annick Beyrath | Zendy

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Indirect linear locally distributed damping of coupled systems

Author(s) -

Annick Beyrath

Publication year - 2009

Publication title -

boletim da sociedade paranaense de matemática

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.347

H-Index - 15

eISSN - 2175-1188

pISSN - 0037-8712

DOI - 10.5269/bspm.v22i2.7478

Subject(s) - term (time) , piecewise linear function , multiplier (economics) , control theory (sociology) , piecewise , linear system , mathematics , wave equation , mathematical analysis , damped wave , damping ratio , physics , computer science , quantum mechanics , vibration , control (management) , artificial intelligence , economics , macroeconomics

The aim of this paper is to prove indirect internal stabilization results for dierent coupled systems with linear locally distributed damping (coupled wave equations, wave equations with dierent speeds of propagation). In our case, a linear local damping term appears only in the first equation whereas no damping term is applied to the second one (this is indirect stabilization, see (11)). Using the piecewise multiplier method we prove that the full system is stabilized and that the total energy of the solution of this system decays polynomially.

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