The problem of robust stability and robust stabilization for a class of discrete-time uncertain systems with time delay is investigated. Based on Tchebychev inequality, by constructing a new augmented Lyapunov function, some improved sufficient conditions ensuring exponential stability and stabilization are established. These conditions are expressed in the forms of linear matrix inequalities (...

We consider centroaane hypersurfaces M n and introduce a new intrinsic curvature invariant of the centroaane metric. For n > 2 we derive an inequality between this invariant and the square norm of the Tchebychev eld. We study the class of hypersurfaces which realize the equality and obtain a wide class of examples and a partial classiication. Furthermore we discuss our results under polarizatio...

In this paper several remarkable inequalities for the product with minimax series are considered and are compared via the valuation of these inequalities on Tchebyshev’s polynomials. c © 1998 Elsevier Science B.V. All rights reserved.

Face detection is an intelligent approach used in a variety of applications that identifies human faces digital images. This work presents new method which composes neural network and Techebycheve transforms for face detection. For feature extraction, Tchebychev transform was applied, discrete given different sampling patterns several samples here were performed on color A Levenberg-Marquardt b...