Core stability in general involves the muscular control required around the lumbar spine to maintain functional stability. Stability and movement are both critically dependent on the coordination of all the muscles surrounding the lumbar spine. This paper describes a yogic breathing technique (Uddiyana Bandha) that helps in enhancing core stability. In order to verify whether the practical resu...

In this paper we will deal with the control and stability analysis of the relative translation of a formation of spacecraft. A continuous control algorithm with no velocity information will be presented, for which strong stability properties can be proved even under non-vanishing disturbances. As propulsion systems of spacecraft usually do not provide continuous actuation, such results, reporte...

In wide area measurement systems, PMUs are the main component measuring real time synchronized data from different buses. Installation of PMUs at all buses is a primary way to provide full observability of the power network. However, it is not practical in real networks due to the relatively expensive cost of PMUs and other technical limitations. Optimal PMU Placement (OPP) is an optimization p...

In this paper numerical results are reviewed ([13]) that demonstrate that common second-order operator-splitting methods can exhibit instabilities when integrating the Brusselator equations out to moderate times of about seven periods of oscillation. These instabilities are manifested as high wave number spatial errors. In this paper we further analyze this problem and present a theorem for sta...

This paper stands for the almost sure practical stability of nonlinear stochastic differential delay equations (SDDEs) with a general decay rate. We establish some sufficient conditions based upon construction appropriate Lyapunov functionals. Furthermore, we provide numerical examples to validate effectiveness abstract results this paper.