Stability Analysis of Controlled, Partially-Connected, Distributed-Parameter Systems Through Perturbation Methods

L.M. Robertson and M.J. Balas
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L.M. Robertson: Space Vehicles Directorate
M.J. Balas: University of Colorado at Boulder

Journal of Optimization Theory and Applications, 2003, vol. 116, issue 2, No 9, 379-392

Abstract: 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 (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1023/A:1022466222726

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