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Titlebook: Distributed Systems with Persistent Memory; Control and Moment P Luciano Pandolfi Book 2014 The Author(s) 2014 Controllability via moment m

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,Systems with Persistent Memory: The Observation Inequality,ontrollability which relays on the direct and inverse inequalities of the wave equation. The key properties we shall encounter are the extension of the hidden regularity to systems with memory, a test for the solutions which shows explicitly the role of the region . and propagation of singularities.
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https://doi.org/10.1057/9780230253117show the derivation of the heat equation with memory and the equation of viscoelasticity). In this chapter, we define and give formulas for the solutions of the system under study and we derive their properties, using an operator approach. We define the notion of controllability and prove the key re
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The British Commonwealth and Empiren. For this reason, in this short chapter, we review the key results on the controllability of wave type equations. First, we describe a “hidden regularity” of the normal derivative of the solutions of the uncontrolled system and the observation inequality. A consequence is that the “active part” .
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https://doi.org/10.1057/9780230270862lts for the . wave equation can be lifted to the system with memory. As we have seen, the component . can also be interpreted as the temperature of thermodynamic systems with memory, so that we get exact controllability of the temperature (at a suitable time .), a property that cannot hold for the s
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https://doi.org/10.1007/978-3-319-12247-2Controllability via moment methods; Riesz sequences; The flux and the stress; Thermodynamic with memory
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