An unsolved ancient problem in position control of robot manipulators is to find a stability analysis that proves global asymptotic stability of the classical PID control in closed loop with robot manipulators. The practical evidence suggests that in fact the classical PID in industrial robots is a global regulator. The main goal of the present paper is theoreticall...

This paper gives a detailed overview of the work and the results of the authors of this paper in the area of Non-Lyapunov (finite time stability, technical stability, practical stability, final stability) for a particular class of linear continuous time delays systems. This survey covers the period since 2000 and has a strong intention to present the main concepts and contributions that have be...

The paper extends some basic results from the area of finite time and practical stability to nonlinear , perturbed , fractional order time-delay systems where a robust stability test procedure is proposed. The problem of sufficient conditions that enable system trajectories to stay within the a priori given sets for the particular class of nonlinear fractional order time delay systems is examin...

The usefulness and applicability of water indices such as Langelier saturation index, Ryznar stability index and Practical scale index for predicting the corrosive/scale forming tendency of chemically treated open recirculating cooling water has been studied. The study is based on the obtained corrosion and scale data for the period from May 1998 to December 2007, carried out at Fast Breeder Te...

Fractional order partial differential equations are generalizations of classical partial differential equations. Increasingly, these models are used in applications such as fluid flow, finance and others. In this paper we examine some practical numerical methods to solve a class of initial- boundary value fractional partial differential equations with variable coefficients on a finite domain. S...