Some approximation theoretic questions concerning a certain class of neural networks are considered. The networks considered are single input, single output, single hidden layer, feedforward neural networks with continuous sigmoidal activation functions, no input weights but with hidden layer thresholds and output layer weights. Specifically, questions of existence and uniqueness of best approx...

We investigate the quasinormal modes for gravitational perturbations of rotating black holes in four dimensional Anti-de Sitter (AdS) spacetime. The study of the quasinormal frequencies related to these modes is relevant to the AdS/CFT correspondence. Although results have been obtained for Schwarzschild and Reissner-Nordstrom AdS black holes, quasinormal frequencies of Kerr-AdS black holes are...

In this paper, the model order reduction phenomenon is implemented using the pade approximation method to obtain a second order reduced model for stable linear time invariant continuous system. A controller is designed for the reduced second order model to meet the desired performance specifications. This controller is attached with the reduced order model and closed loop response is observed....

In this paper, the analysis of a reactive hydromagnetic Poiseuille fluid flow under different chemical kinetics through a channel in the presence of a heat source is carried out. An exothermic reaction is assumed while the concentration of the material is neglected. The Adomian decomposition method together with Pade approximation technique are used to obtain the solutions of the governing nonl...

In this paper, Homotopy Analysis Method is used to analyze free non-linear vibrations of a beam simply supported by pinned ends under axial force. Mid-plane stretching is also considered for dynamic equation extracted for the beam. Galerkin decomposition technique is used to transform a partial dimensionless nonlinear differential equation of dynamic motion into an ordinary nonlinear differenti...

In the paper an infinitesimally small segment of an interconnect has been initially considered and modeled as a two-port network which in turn allowed the modeling of a long interconnect as the cascading of several such networks. After the model order reduction by Pade-approximation various signal integrity losses, such as delay, overshoot, undershoot or glitch, etc. are estimated analytically ...

In this work μ-Synthesis technique is utilized to design controllers for uncertain time-delay systems. For this purpose, delay elements are replaced by a linear uncertain block based on pade approximation of the delay elements. This will result in a linear system with nonlinear dependency on an uncertain parameter which lies in an infinite interval. Two general ideas are employed to cope with t...