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Then, an adaptive compensation controller is constructed by utilizing the backstepping technique.

A large number of solutions for ordinary differential equations are constructed by utilizing the method by Liu et al. [45, 46].

The reduced measurement scale was constructed by utilizing the prime set of subcriteria identified, and then MDs corresponding to the abnormal observations were obtained using Equation 1.

Reduced-order state space models suitable for process control studies are constructed by utilizing the methods of orthogonal collocation and singular perturbation.

In this study, the convex linearization is constructed by utilizing the sensitivity and function value of the probabilistic constraint at the MPP.

In both cases, stabilizing controllers are explicitly constructed by utilizing the parametric Lyapunov equation based low gain design approach we recently developed.

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The cost-minimal RTUS system was constructed by utilizing a standard off-the-shelf laptop computer that connected to the internet through an internal wireless receiver and/or was tethered through a smartphone.

A detailed building model was constructed by utilizing DesignBuilder and ContamW based on the building design/actual construction documents for the analyses of combined IAQ and energy benefits.

Models are constructed by utilizing test results available in the literature.

In the proposed algorithm, the coherency of incident signals is decorrelated through two equivalent covariance matrices, which are constructed by utilizing cross-correlation information of received data between the two parallel ULAs and the changing reference element.

Theorem 1 also reveals that the optimal power policy of the problem (7) can be constructed by utilizing two deterministic power allocation schemes with opportunistic scheduling structure, i.e. P ∗ = p 1 ∗ in (8) if w∗=1 and p 2 ∗ in (9) if w∗=0.

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