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Here we would like to give this proof in detail for two reasons: To get more (i.e., the cost of the approximate control) than the approximate controllability from the quantitative unique continuation property (Assumption 2); and to get some clues to the proof of Theorem 3.1.
The restrictions identified for the nonlinear inverse design are related to the concept of functional controllability from the nonlinear systems literature.
A large proportion of this work relates to the analysis of network controllability from the perspective of full state controllability.
Adapting our tensor-square criterion for full controllability from spin systems [22] to quasifree fermionic systems, a set of operators T ν generates the full quadratic algebra so ( 2 d ) if and only if the joint commutant of the operators T ν ⊗ 1 2 d + 1 2 d ⊗ T ν has dimension three (see Corollary 16).
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In our second experiment, we separate out the effect of the attribution's outcome controllability (controllable versus uncontrollable) from that of attribution locus in a negative guidance news setting.
This model suggests the appraisal of controllability results from the interplay between two circuits dominated by different subregions in the vmPFC and supported by either cortical DA or norepinephrine (NE).
We derive the observability inequality and prove the exact controllability for the semi-discrete internally controlled wave equation, with the controls taken from a finite dimensional space.
Based on UIO sequences, a checking sequence construction method is proposed to yield a sequence that is free from controllability and observability problems.
Its subject matter ranges from controllability and observability, stabilization, disturbance decoupling, and tracking and regulation, to linear quadratic regulation, H2 and H-infinity control, and robust stabilization.
Using the property of controllability, it follows from [4, Corollary.3.1] that there exists such that (2.24).
From these results, we can obtain the approximate controllability for (NCE), which is the extended result of [10, 13, 14] to (NCE).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com