WELL‐POSED LINEAR SYSTEMS (Encyclopedia of Mathematics and its Applications 103)

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Characterization by observability inequalities of controllability and stabilization properties (2018, background): “For the latter case, we speak of unbounded control operators, which are operators B that are not continuous from U to X but are continuous from U to some larger space X ̨ which can be defined by extrapolation (scale of Hilbert spaces; see [Engel and Nagel 2000; Staffans 2005; Tucsnak and Weiss 2009”
Well-posedness and regularity of hyperbolic boundary control systems on a one-dimensional spatial domain (2010, background): “Published online August 25, 2009.”
Structured H∞‐control of infinite‐dimensional systems (2017, background): “In the regular case state-space representations of the closed loop then resemble those known in the finitedimensional case, and we refer to [31, 30, 34] for more details and explicit formulas.”