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Cited by 3 publications
(3 citation statements)
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“…As an application example we consider the driven cavity as described in Sect. 6.1 and the task of finding inputs that cause a prescribed output y * in the domain of observation via the solution of (27). Figure 6 shows the result for y * ≡ [1 0] T .…”
Section: Application To Optimal Flow Controlmentioning
confidence: 99%
“…Our new approach is based on a recently introduced general semigroup approach [27,43] for linear time invariant (LTI) systems of abstract ordinary differential equations. Here, we will extend this approach to abstract differential-algebraic systems and with this the applicability to flow control problems.…”
Section: Introductionmentioning
confidence: 99%
“…The presented framework can also be used for linearized flow systems. For the Stokes equation, results similar to (3) and (6) are obtained by working with appropriate subspaces of divergence-free functions [18] and for the spatially discretized Oseen equations, which arise as linearizations of the Navier-Stokes equations, it has been shown in [19,20] how the framework can be extended to linear time invariant descriptor systems.…”
Section: I/o Maps Of ∞-Dimensional Lti State Space Systemsmentioning
confidence: 99%