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On input/output stabilization of singular integrodifferential systems

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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.

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This work was supported in part by the National Science Foundation under Grants DMS-8907019 and MSS-9203418.

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Özbay, H., Turi, J. On input/output stabilization of singular integrodifferential systems. Appl Math Optim 30, 21–49 (1994). https://doi.org/10.1007/BF01261990

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