In this paper, we derive some sufficient conditions for practical uniform exponential stability of time-varying perturbed systems based on Lyapunov techniques, whose dynamics are in general unbounded time, the sense that solutions stable and converge to a small neighbourhood origin. Under quite assumptions, first present new converse theorem large class systems, which will be used prove certain properties nonlinear with perturbation. Therefore, function is presented guarantees systems....

The present paper is mainly aimed at introducing a novel notion of stability nonlinear time-delay systems called Rational Stability. According to the Lyapunov-type, various sufficient conditions for rational are reached. Under delay dependent conditions, we suggest observer estimate system states, state feedback controller and observer-based provided. Moreover, global using output given. Finally, study presents simulation findings show feasibility suggested strategy.

In this paper, we present a practical exponential stability result for impulsive dynamic systems depending on parameter. Stability theorem and converse are established by employing the second Lyapunov method. These theorems used to analyze of solution perturbed cascaded systems, Copyright © 2015 John Wiley & Sons, Ltd.

The Lyapunov's second method is one of the most famous techniques for studying stability properties dynamic systems.This technique uses an auxiliary function, called Lyapunov which checks a specific system without need to generate solutions.An important question about reversibility or converse method; i. e., given property does there exist appropriate function?The main result this paper Theorem practical asymptotic stable impulsive systems.Applying our Theorem, several criteria on solution...

In this paper, we start by the research of existence Lyapunov homogeneous function for a class fractional Systems, then shall prove that local and global behaviors are same.The uniform Mittag-Leffler stability time-varying systems is studied.A numerical example given to illustrate efficiency obtained results.

In this paper, a recurrent neural network with mixed delays which plays an important role is considered. We are concerned the existence, uniqueness and global exponential stability of doubly measure pseudo almost automorphic solutions. First, we establish results that interesting on functional space such functions like composition theorem. Second, by employing fixed-point theorem some properties functions, sufficient conditions for solutions have been established. Our obtained in paper new....

In this paper, we introduce the notion of h-stability for set-valued differential equations.Necessary and sufficient conditions are established by using Lyapunov theory.Then, based on obtained results, study ℎ-stability perturbed cascaded systems.Finally, an example illustrates proposed theorems.

In this paper, we introduce a new notion of stability, namely generalized practical h−stability. Both h−stability and input-to-state are considered. Under Lyapunov techniques, some sufficient conditions given which guarantee fuzzy differential equations. The analysis is also accomplished with the help scalar h−stable functions.

This paper investigates the stability analysis with respect to part of variables nonlinear time-varying systems impulse effect. The approach presented is based on specially introduced piecewise continuous Lyapunov functions. theorems are generalized in sense that time derivatives functions allowed be indefinite. With help notion stable functions, asymptotic partial stability, exponential input-to-state (ISPS) and integral (iISPS) considered. Three numerical examples provided illustrate...

In this paper, we introduce Tαm-Super-Spaces, αm-contra-closed maps, αm-contra-open αm-contra-continuous αm-contrairresolute b-ω-open sets and Continuity via studied some of their properties

We study the practical exponential stability of nonlinear systems with generalized sufficient conditions. use Lyapunov's direct method, hence we extend previous results on perturbed and time-varying cascade systems. The last part is devoted to problem α-exponential stabilization for certain classes

In this paper, a new type of stability for nonlinear systems differential equations called practical ψ γ -exponential asymptotic stability, is presented.Some sufficient conditions are provided by using Lyapunov theory.These results generalize fundamental well known exponential and ψ-exponential time-varying systems.In addition, these to investigate the problem perturbed system cascade systems.The last part devoted study stabilization some classes with delayed perturbation.

Abstract In this paper, we introduce a new notion of stability, namely generalized practical h −stability. Both −stability and input-to-state are considered. Under Lyapunov techniques, some sufficient conditions given which guarantee fuzzy differential equations. The analysis is also accomplished with the help scalar −stable functions.

The purpose of this paper is to introduce Fredholm operator, ?-Fredholm operator and Weyl operator. Moreover, we basic properties application matrix.

We study the practical exponential stability of nonlinear systems with generalized sufficient conditions. use Lyapunov’s direct method, hence we extend previous results on perturbed and time-varying cascade systems. The last part is devoted to problem α-exponential stabilization for certain classes