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The hardness of the CmRSP-DCR is formally proved.
The resulting multi-loop adaptive nonlinear regulator is formally proved to meet its objectives.
The correctness of our algorithms is formally proved and experimentally demonstrated.
The stability of the proposed probe compound control closed-loop system is formally proved by using Lyapunov function technique.
This smart healthcare big data storage system is formally proved secure, and extensive comparison and simulations demonstrate its efficiency.
The phase-closure principle is formally proved for single span uniform beams and is used to set up the exact frequency equation for a fully fixed beam.
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Ultimate boundedness of the observation errors is formally proven and an arbitrarily small ultimate bound is then achieved.
It is formally proven that the inclusion of an additional inlet stream, free of the limiting substrate, enables global controllability and thereby provides the solution to the controllability problems pointed out by Szederkényi et al. [30], fact that have not been reported previously.
We will use the following lemma which follows by repeated application of (R!) and is formally proven in [ 22].
Closed loop stability and asymptotic rejection of unknown piecewise constant load torques are formally proved.
No method based on this idea has been formally proved to converge to the global optimum of the BMI problem, or a local optimum in general.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com