Adaptive parameter estimation of hyperbolic distributed parameter systems : non-symmetric damping and slowly time varying systems
In this paper a model reference-based adaptive parameter estimator for a wide class of hyperbolic distributed parameter systems is considered. The proposed state and parameter estimator can handle hyperbolic systems in which the damping sesquilinear form may not be symmetric (or even present) and a modification to the standard adaptive law is introduced to account for this lack of symmetry (or absence) in the damping form. In addition, the proposed scheme is modified for systems in which the input...
In this paper we study the boundary exact controllability for the equation when the control action is of Dirichlet-Neumann form and is a bounded domain in . The result is obtained by applying the HUM (Hilbert Uniqueness Method) due to J. L. Lions.
The aim of this paper is to prove the existence of the global attractor of the Cauchy problem for a semilinear degenerate damped hyperbolic equation involving the Grushin operator with a locally Lipschitz nonlinearity satisfying a subcritical growth condition.