In this paper we discuss the stabilization of large scale linear time invariant dynamical systems via feedback. An overview of efficient schemes based on the Discrete Riccati Difference Equation are presented. In particular, results are given for a Newton-like approach to the problem.

We give sufficient conditions for the exponential stabilizability of a class of perturbed time-varying difference equations with multiple delays and slowly varying coefficients. Under appropiate growth conditions on the perturbations, combined with the “freezing” technique, we establish explicit conditions for global feedback exponential stabilizability. Copyright q 2009 Medina Rigoberto. This ...

It is investigated the behaviour of the “constants” G, c and Λ in the framework of a perfect fluid LRS Bianchi I cosmological model. It has been taken into account the effects of a c−variable into the curvature tensor. Two exact cosmological solutions are investigated, arriving to the conclusion that if q < 0 (deceleration parameter) then G, c are growing functions on time t while Λ is a negati...

Let T be any time scale such that 0, 1 be subset of T. The concept of dynamic equations on time scales can build bridges between differential and difference equations. This concept not only gives us unified approach to study the boundary value problems on discrete intervals with uniform step size and real intervals but also gives an extended approach to study on discrete case with non uniform s...

This paper is devoted for a rigorous investigation of Hahn’s difference operator and the associated calculus. Hahn’s difference operator generalizes both the difference operator and Jackson’s q-difference operator. Unlike these two operators, the calculus associated with Hahn’s difference operator receives no attention. In particular, its right inverse has not been constructed before. We aim to...