Multivariable Schur–Horn theorems

Duality Theorems in the Multivariable Iwasawa Theory of Number Fields

1. Introduction. Let K be a number field, let p be an odd prime, and let K ∞ /K be an extension containing all p-power roots of unity whose Galois group Γ is isomorphic to Z

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...

Fisher's theorems for multivariable, time- and space-dependent systems, with applications in population genetics and chemical kinetics.

We study different physical, chemical, or biological processes involving replication, transformation, and disappearance processes, as well as transport processes, and assume that the time and space dependence of the species densities are known. We derive two types of Fisher equations. The first type relates the average value of the time derivative of the relative time-specific rates of growth o...

Optimal Control of Nonlinear Multivariable Systems

This paper concerns a study on the optimal control for nonlinear systems. An appropriate alternative in order to alleviate the nonlinearity of a system is the exact linearization approach. In this fashion, the nonlinear system has been linearized using input-output feedback linearization (IOFL). Then, by utilizing the well developed optimal control theory of linear systems, the compensated ...