Sentence examples for by constructing a linear from inspiring English sources

First of all, by constructing a linear co-positive Lyapunov function, the sufficient condition is obtained for stochastic stability and L1 performance analysis respectively.

System uncertain nonlinearities are estimated online by constructing a linear disturbance observer, and output feedback control is developed based on the estimation to compensate the nonlinearities.

First, by constructing a linear stochastic Lyapunov function and introducing an "equivalent" deterministic positive discrete-time linear system, necessary and sufficient conditions in the form of LP are derived for stochastic stability and l1-gain performance of the positive discrete-time MJLS.

First, necessary and sufficient conditions for stochastic stability of the system are derived by constructing a linear co-positive stochastic Lyapunov functional and establishing a system equation whose state variables consist of the mathematical expectation of the markovianized states and whose coefficient matrices depend on time-delay and the transition probability.

A normalization constant was computed by constructing a linear model that was fitted using an M-estimator and robust regression.

We therefore tested whether there was a difference in mean Ka/Ks values between AF cluster homologs in section Flavi versus non-section Flavi species by constructing a linear model to account for variation between genes.

> We formally tested this by constructing a generalized linear model incorporating CAG length and SLC2A3 copy number, which showed a significant positive association of SLC2A3 copy number with log2AO (P = 0.022).

The quantitative relationship between changes in BOLD signal, and changes in single neuronal firing and LFP power in different ranges at the same sites, was analysed by constructing a general linear model.

The method of estimation was by constructing a Generalized Linear Model using Penalized Quasi-Likelihood, with individual characteristics at the first level and village socioeconomic status at the second.

Furthermore, we selected the optimal hormonal replacement regimen for multiple organ procurement (intestine not included in the analysis) by constructing a generalized linear mixed model to estimate least square means or LS-means, defined as follows: g (E [ Y | γ ] ) = β 0 + β 1 ⋅ HR + β 2 ⋅ age + β 3 ⋅ sex + β 4 ⋅ BMI + ⋅ γ ⋅ organ (2 where β s are the fixed effects and γ is the random effect.

The paper begins by constructing a time-varying linear system with bounded inputs that is equivalent to the first order discrete event integration scheme.