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...

Recently proposed conditions on finite-time stability in time-delay systems are revisited and it is shown that they are incorrect. General comments on possibility of finite-time convergence in time-delay systems and a necessary condition are given. © 2014 Elsevier Ltd. All rights reserved.

Finite-time stability and stabilization of retarded-type functional differential equations are developed. First, a theoretical result on finite-time stability inspired by the theory of differential equations, using Lyapunov functionals, is given. As it may appear not easily usable in practice, we show how to obtain finite-time stabilization of linear systems with delays in the input by using an...

In this paper, finite-time stability and stabilization problems for a class of linear time-delay systems are studied. Firstly, the concepts of finite-time stability and finite-time stabilization are extended to linear time-delay systems. Then, based on methodology of linear matrix inequalities and the Lyapunov-like functions method, some sufficient conditions under which the linear time-delay s...

the concepts of structural optimization was introduced about sixty years ago. smiths from the university of los angeles (california) for the first time has offered the combination of finite element method and optimization techniques to design optimum structures (1960). at present time, this techniques are generally understood and many softwares for this perpose have been developed. in this pape...

in this paper, a new robust controller based on geometric homogeneity and adaptive integral sliding mode is proposed for a class of second order systems. the upper bound of the system disturbances is not required. fully unknown parameters have been considered in the described model and its finite–time convergence to zero equilibrium point is proved. moreover, the controller is developed in the ...