Presenting multivariable analyses

Stability Analyses of Nonlinear Multivariable Feedback Control Systems

In this paper, a practical limit cycle predicting method is proposed for analyzing stability of nonlinear multivariable feedback control systems. The stable limit cycle of the considered system is found first by six criteria for unity loop gains, and then the stability is evaluated for variable loop gains. It needs only to check maximal or minimal frequency points of root-loci of equivalent gai...

Practical guide to understanding multivariable analyses: Part A.

Multivariable analyses are complex statistical methods to evaluate the impact of multiple variables on outcomes of interest. Books have been written on each of these methods detailing the mathematical and statistical objectives and processes. However, we have found very little in the way of brief reports that help the nonstatistically trained physician obtain a basic understanding of multivaria...

Recommendations for presenting analyses of effect modification and interaction.

Authors often do not give sufficient information to draw conclusions about the size and statistical significance of interaction on the additive and multiplicative scales. To improve this, we provide four steps, template tables and examples. We distinguish two cases: when the causal effect of intervening on one exposure, across strata of another factor, is of interest ('effect modification'); an...

Multivariable Calculus

Multivariable fuzzy

In this paper, the upper bounds for a multivariable fuzzy logic controller under G/Sdel's implication are investigated and a generalized multivariable structure of fuzzy controller are proposed. Contribution operators, such as max (v) operation, ensure the greatest upper bound as well as the least upper bound. Conditions which determine an appropriate upper bound are also determined. This theor...