In this paper, a class of linear systems with multiple time delays is studied. The problem of exponential stability of time-delay systems has been investigated by using Lyapunov functional method. We will convert the system of multiple time delays into a single time delay system and show that if the old system is stable then the new one is so. Then we investigate the stability of converted new ...

This paper employs a decomposition analysis of inequality by income source to understand and explain particular aspects of income inequality in Greece. The results suggest that entrepreneurial income is the most significant contributor to the overall inequality in Greece. It is also shown that there is a weak redistributive impact of taxes and social security contributions and this is mainly at...

Let $X$ be a reflexive Banach space, $T:Xto X$ be a nonexpansive mapping with $C=Fix(T)neqemptyset$ and $F:Xto X$ be $delta$-strongly accretive and $lambda$- strictly pseudocotractive with $delta+lambda>1$. In this paper, we present modified hybrid steepest-descent methods, involving sequential errors and functional errors with functions admitting a center, which generate convergent sequences ...

In this paper, global robust stability of stochastic impulsive recurrent neural networks with time-varyingdelays which are represented by the Takagi-Sugeno (T-S) fuzzy models is considered. A novel Linear Matrix Inequality (LMI)-based stability criterion is obtained by using Lyapunov functional theory to guarantee the asymptotic stability of uncertain fuzzy stochastic impulsive recurrent neural...

This paper is concerned with the stability of linear systems a time-varying delay. First, we derive new form constrained quadratic matrix inequality for reciprocally convex inequality. Second, an equivalent transform into inequality(LMI) derived. Third, upper bound time derivative Lyapunov Krasovskii functional(LKF), in matrix, obtained, and done to make it LMI. Finally, improvement shown throu...

The main purpose of this paper is to establish with a constructive proof the following Hölder-type inequality: let A be a uniformly complete Φ-algebra, T be a positive linear functional, and p, q be rational numbers such that p−1 + q−1 = 1. Then the inequality T (|fg|) ≤ (T (|f |)) (T (|g|)) holds for all f, g ∈ A.

The robust stochastic stability for a class of uncertain neutral-type delayed neural networks driven by Wiener process is investigated. By utilizing the Lyapunov-Krasovskii functional and inequality technique, some sufficient criteria are presented in terms of linear matrix inequality LMI to ensure the stability of the system. A numerical example is given to illustrate the applicability of the ...

We prove sharp Lieb-Thirring type inequalities for the eigenvalues of a class one-dimensional functional difference operators associated to mirror curves. furthermore that bottom essential spectrum these is resonance state.

The paper is concerned with robust stability criteria for Takagi- Sugeno (T-S) fuzzy systems with distributed delays and time delay in the leakage term. By exploiting a model transformation, the system is converted to one of the neutral delay system. Global robust stability result is proposed by a new Lyapunov-Krasovskii functional which takes into account the range of delay and by making use o...