Robustness Optimization for Uncertain Infinite-Dimensional Systems with Unbounded Inputs

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Abstract
In this paper, we consider the problem of robustness optimization for infinite-dimensional systems with respect to a class of bounded feedback-control laws. Both unbounded inputs and perturbations are allowed, where the well-posedness of the abstract controlled perturbed system is guaranteed by specifying Pritchard-Salamon-type conditions on the system parameters. The solution of the problem is determined via a doubly parameterized weak algebraic Riccati equation.

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