ii ACKNOWLEDGMENTS First, I would like to thank GOD, without him none of this would be possible. I would like to thank Dr. Li Li for allowing me to study at LSU. I have been fortunate to have you as the chair of my dissertation committee and as my advisor. You have played an integral role in achieving my goal of becoming a sports scientist. Your dedication and professionalism has helped me and ...

In this paper we introduce some stability criteria for impulsive fuzzy system of differential equations with finite delay in states. Firstly, a new comparison principle for fuzzy differential system compared to crisp ordinary differential equation, based on a notion of upper quasi-monotone nondecreasing, in N dimentional state space is presented. Furthermore, in order to analyze the stability o...

Motivated by the study of a class of large-scale stochastic systems with Markovian switching, this correspondence paper is concerned with the practical stability in the pth mean. By investigating Lyapunov-like functions and the basic comparison principle, some criteria are derived for various types of practical stability in the pth mean of nonlinear stochastic systems. The main contribution of ...

This paper investigates the practical exponential stability of equilibrium for impulsive systems. Stability theorem and converse stability theorem are established by employing the second Lyapunov method. These theorems are used to analyze the practical exponential stability of the zero solution of perturbed impulsive systems and cascaded impulsive systems.

This paper presents some analyses about the robust practical stability of a class of nonlinear affine systems in the presence of non-vanishing perturbations based on the passivity concept. The given analyses confirm the robust passivity property of the perturbed nonlinear systems in a certain region. Moreover, robust control laws are designed to guarantee the practical stability of the perturbe...

We study hybrid dynamic systems on time scales. Using Lyapunov-like functions , we obtain sufficient conditions for practical stability and strict practical stability in terms of two measures for hybrid dynamic systems on time scales. 1. Introduction. In this paper, we present some sufficient conditions for practical stability and strict practical stability in terms of two measures for hybrid d...

a nonlocal beam model based on the bernoulli–euler beam theory is presented to investigate the dynamic stability of embedded single-walled carbon nanotubes (swcnts) in thermal environment under combined static and periodic axial loads. the dynamic stability analysis is carried out by including the effects of small-scale parameter, temperature change and elastic medium. the equation of motion is...

This paper gives sufficient conditions for the practical and finite time stability of a particular class of linear discrete time delay systems. Analyzing the finite time stability concept, these new delay-independent conditions are derived using an approach based on the Lyapunov–like functions. The practical and attractive practical stability for discrete time delay systems has been investigate...