Electronic Journal of Differential Equations,
Vol. 2001(2001), No. 25, pp. 1-10.

Title: Uniform stability of displacement coupled second-order equations
        
Author: A. Soufyane (Univ. of Franche Comte, France)
          
Abstract: 
 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.
  
Submitted November 28, 2000. Published April 17, 2001.
Math Subject Classifications: 34K35, 35B37, 37N35, 93B52, 93B05, 93D15.
Key Words: Uniform stability; exact controllability; 
velocity coupled dissipator; displacement coupled dissipator.