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math.FA2024
Spectral analysis of a class of linear hyperbolic partial differential equations
Anthony Hastir, Birgit Jacob, Hans Zwart
A class of linear hyperbolic partial differential equations, sometimes called networks of waves, is considered. For this class of systems, necessary and sufficient conditions are f…
math.OC2024★ 3 cited
Linear-Quadratic optimal control for boundary controlled networks of waves
Anthony Hastir, Birgit Jacob, Hans Zwart
Linear-Quadratic optimal controls are computed for a class of boundary controlled, boundary observed hyperbolic infinite-dimensional systems, which may be viewed as networks of wav…