Geodesic
Uniform stability of displacement coupled second-order equations
Electronic journal of differential equations, Tome 2001 (2001)
We prove that the uniform stability of semigroups associated to displacement coupled dissipator systems is equivalent to the uniform stability of velocity coupled dissipator systems. Using this equivalence, we give sufficient conditions for obtaining uniform stability and exact controllability of displacement coupled dissipator systems.
Classification : 34K35, 35B37, 37N35, 93B52, 93B05, 93D15
Keywords: uniform stability, exact controllability, velocity coupled dissipator, displacement coupled dissipator 
@article{EJDE_2001__2001__a67,
     author = {Soufyane,  A.},
     title = {Uniform stability of displacement coupled second-order equations},
     journal = {Electronic journal of differential equations},
     year = {2001},
     volume = {2001},
     zbl = {0977.34063},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a67/}
}
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%J Electronic journal of differential equations
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Soufyane,  A. Uniform stability of displacement coupled second-order equations. Electronic journal of differential equations, Tome 2001 (2001). http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a67/