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Unstable dynamical systems can be viewed from a variety of perspectives. We discuss the potential of an input-output map associated with an unstable system to represent a bounded map from ℒ2(ℝ) to itself and then develop criteria for optimal reduced order approximations to the original (unstable) system with respect to an ℒ2-induced Hilbert-Schmidt norm. Our optimality criteria extend the Meier-Luenberger...
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