We consider an approximation scheme for systems of linear delay-differential equations of neutral type. The finite dimensional approximating systems are constructed with basis functions defined usingâ€¦ (More)

We consider the issue of stability for semidiscrete Galerkin approximations of neutral delay-differential equations. We recall recent results which show how a reforming of the energy state space canâ€¦ (More)

The role of the interfacial forces was emphasized in interactive processes, involving membrane surface and penetrating molecules. The surface character controlling the dissolution process of someâ€¦ (More)

49th IEEE Conference on Decision and Control (CDCâ€¦

2010

We consider finite dimensional semidiscrete approximation of an LQR control problem with dynamics governed by a neutral delay-differential equation. A test problem is constructed for which the exactâ€¦ (More)

Uniformly stable semidiscrete approximation schemes are desirable for constructing approximate solutions of certain optimal control problems for distributed parameter systems. We discuss constructionâ€¦ (More)

We consider finite dimensional semidiscrete approximation of an LQR control problem for a model in linear thermoelasticity. A test problem is constructed for which the exact solution of theâ€¦ (More)

We consider an equation arising in linear viscoelasticity. Recently it has been shown that the semigroup for this model is exponentially stable, and that a certain semidiscrete approximation schemeâ€¦ (More)

We consider an approximation scheme for integro-partial differential equations which arise in the theory of linear viscoelas-ticity. This scheme is based on a modiication (to account for the singularâ€¦ (More)