Abstract:In Yakoubi [11] and Lenczner et al. [5] the authors developed a theoretical framework of diffusive realization for state-realizations of some linear operators. Those are solutions to certain linear operator differential equations posed in one-dimensional bounded domains. They illustrate the theory on a Lyapunov equation arising from the optimal control theory of the heat equation. In principle their method might be very efficient for real-time computations, however it suffers from strong limitations. Here, we… Show more
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