On input/output stabilization of singular integrodifferential systems

Abstract

Abstract. In this paper we consider a class of systems described by singular integrodifferential equations. This type of systems appear, for example, in the modeling of certain aeroelastic control problems. We study these systems in frequency domain framework and show the existence of finite-dimensional stabilizing controllers. An algorithmic procedure is outlined for the construction of such controllers. In order to illustrate the numerical aspects of this algorithm, we present an example involving the classical Theodorsen model of an airfoil, which fits in the class of systems considered here.

An Oscillation Result for Singular Neutral Equations

“…Such equations arise for example in aeroelastic modeling and include many singular integro-differential equations. Motivated by aeroelastic control applications, the questions of well-posed state-space formulations, approximation and stabilization of systems governed by SNFDEs have received considerable attention in recent years (see e.g., [4], [5], [6], [7], [10], [11], [12], [13], [14] and [15]).…”