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Stability Analysis of Controlled, Partially-Connected, Distributed-Parameter Systems Through Perturbation Methods
Authors:L.M. Robertson III  M.J. Balas
Affiliation:(1) US Air Force Research Laboratory, Space Vehicles Directorate, Kirtland AFB, New Mexico;(2) Department of Aerospace Engineering, University of Colorado at Boulder, Boulder, Colorado
Abstract:A stability result for locally-controlled, interconnected, distributed-parameter systems (DPS) is developed. Using a special perturbation operator, exponential stability is shown to be a function of both the value of the perturbation operator and the characteristics of the interconnected DPS. Proof of the bound is shown using the expansion of the matrix operator and the solution vector through a set of gauge functions. Each expansion term is power matched and individually bound using stationary phase methods. Special consideration is given to interconnected systems of a structural dynamic nature.
Keywords:Distributed-parameter systems  perturbation theory  induction methods  control
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