Results 21 to 30 of about 82,571 (261)

Finite-Time Stability Analysis of Fractional Delay Systems

open access: yesMathematics, 2022
Nonhomogeneous systems of fractional differential equations with pure delay are considered. As an application, the representation of solutions of these systems and their delayed Mittag-Leffler matrix functions are used to obtain the finite time stability
Ahmed M. Elshenhab   +4 more
doaj   +1 more source

Finite time stability of differential inclusions [PDF]

open access: yesIMA Journal of Mathematical Control and Information, 2005
In this paper, the problem of finite time stability is investigated for differential inclusion. Two sufficient conditions for finite time stability, using a smooth Lyapunov function and a nonsmooth one, are established. Then, the same idea is used to give two necessary conditions.
Emmanuel Moulay, Wilfrid Perruquetti
openaire   +2 more sources

Finite Time Stability of 2D Fractional Hyperbolic System with Time Delay

open access: yesJournal of Function Spaces, 2022
In this work, a class of two-dimensional fractional hyperbolic differential linear system (2D-FHDLS) with time delay is investigated. By using generalized Gronwall’s inequality, sufficient conditions for the finite time stability (FTS) of two-dimensional
Abdellatif Ben Makhlouf   +3 more
doaj   +1 more source

Results on finite time and practical stability of continuous time delay [PDF]

open access: yesTehnika, 2016
This paper gives sufficient conditions for the attractive practical and finite time stability of linear continuous time delay systems of the form x(t) = A0x(t) + A1x(t-τ).
Debeljković Dragutin Lj.   +3 more
doaj   +1 more source

General conformable estimators with finite-time stability

open access: yesAdvances in Difference Equations, 2020
In this paper, some estimators are proposed for nonlinear dynamical systems with the general conformable derivative. In order to analyze the stability of these estimators, some Lyapunov-like theorems are presented, taking into account finite-time ...
Fidel Meléndez-Vázquez   +2 more
doaj   +1 more source

Finite-Time Stability of Linear Conformable Stochastic Differential Equation with Finite Delay

open access: yesComplexity, 2023
This paper investigates the finite-time stability (FTS) of a linear conformable stochastic differential equation with finite delay (LCSDEwFD). We use the Banach fixed point theorem (BFPT) to prove the existence and uniqueness of the solution and analyze ...
Mohamed Rhaima   +2 more
doaj   +1 more source

Robust finite-time stability of neutral fractional time-delay systems

open access: yes上海师范大学学报. 自然科学版, 2020
This paper is devoted to investigating the robust finite-time stability issue of neutral fractionalorder system. Based on the generalized Bellman-Gronwall inequality, a new sufficient condition is established for the particular class of neutral ...
ZHANG Li, GAO Cunchen, REN Qifeng
doaj   +1 more source

Lyapunov-based approach for finite time stability and stabilization [PDF]

open access: yesProceedings of the 44th IEEE Conference on Decision and Control, 2006
Finite time stability is investigated for continuous system ẋ = f(x) which satisfies uniqueness of solutions in forward time. A necessary and sufficient condition is given for this class of systems using Lyapunov functions. Then, a necessary and sufficient condition is developed for finite time stabilization of class CLk-affine systems involving a ...
Emmanuel Moulay, Wilfrid Perruquetti
openaire   +1 more source

Finite-time stability results for fractional damped dynamical systems with time delays

open access: yesNonlinear Analysis, 2022
This paper is explored with the stability procedure for linear nonautonomous multiterm fractional damped systems involving time delay. Finite-time stability (FTS) criteria have been developed based on the extended form of Gronwall inequality.
Ganesan Arthi   +2 more
doaj   +1 more source

Finite-time stability of linear stochastic fractional-order systems with time delay

open access: yesAdvances in Difference Equations, 2021
This paper focuses on the finite-time stability of linear stochastic fractional-order systems with time delay for α ∈ ( 1 2 , 1 ) $\alpha \in (\frac{1}{2},1)$ . Under the generalized Gronwall inequality and stochastic analysis techniques, the finite-time
Lassaad Mchiri   +3 more
doaj   +1 more source

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