Abstract
For a class of infinite-dimensional linear systems with nonlinear outputs, and using a differential game-theoretic approach, we obtain a set of necessary and sufficient conditions for the existence of a state-feedback controller under which a given H ∞ bound (on disturbance attenuation) is achieved. Characterization of such a controller is given, and the result is applied to a disturbance attenuation problem with control constraints.
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Xiao, M., Başar, T. (2000). H∞Control of a Class of Infinite-Dimensional Linear Systems with nonlinear Outputs. In: Filar, J.A., Gaitsgory, V., Mizukami, K. (eds) Advances in Dynamic Games and Applications. Annals of the International Society of Dynamic Games, vol 5. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1336-9_3
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DOI: https://doi.org/10.1007/978-1-4612-1336-9_3
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