Adaptive Model Theory (AMT) is a computational theory and model of the information processing performed by the brain during voluntary movement. Two possible generalizations of AMT to the control of nonlinear external systems were evaluated in a pilot study. Both approaches made use of single layer networks of locally recurrent dynamic neurons in the nonlinear inverse modeling subsystems. The fe...

the computation of the inverse roots of matrices arises in evaluating non-symmetriceigenvalue problems, solving nonlinear matrix equations, computing some matrixfunctions, control theory and several other areas of applications. it is possible toapproximate the matrix inverse pth roots by exploiting a specialized version of new-ton's method, but previous researchers have mentioned that some...

Nonlinear inverse dynamic models can be utilized in various parts of advanced model-based control system design: reference trajectory optimization, feedforward control and feedback linearization [35]. In this paper, a new synthesis approach for nonlinear inverse dynamic models of satellites with flexible structures is presented. For satellite configurations with unstable zero dynamics, a stable...

In large-scale energy market models, the price–demand relationship is usually represented by a linear function. this paper, nonlinear demand functions are fitted to electricity bid data; in particular, exponential and polynomial (cubic) estimated from EPEX day-ahead data (i.e. Central Western European area). The corresponding game-theoretic, models were successfully solved using Extended Mathem...

It is well known that the parabolic partial differential equations in two or more space dimensions with overspecified boundary data, feature in the mathematical modeling of many phenomena. In this article, an inverse problem of determining an unknown time-dependent source term of a parabolic equation in general dimensions is considered. Employing some transformations, we change the inverse prob...