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Investigation of a Lyapunov delta-type inequality with respect to a discrete fractional Green’s function [PDF]
Scientific ReportsThis article considers a Lyapunov delta-type inequality with Green’s functions including fractional falling functions. We define a fractional difference problem of Riemann-Liouville type with a fractional boundary condition and, using the Green’s ...
Pshtiwan Othman Mohammed, Meraa Arab
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A Lyapunov-Type Inequality for a Fractional Differential Equation under a Robin Boundary Condition [PDF]
Journal of Function Spaces, 2015 We establish a new Lyapunov-type inequality for a class of fractional differential equations under Robin boundary conditions. The obtained inequality is used to obtain an interval where a linear combination of certain Mittag-Leffler functions has no real
Mohamed Jleli +2 more
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Lyapunov-type inequalities for nonlinear impulsive systems with applications
Electronic Journal of Qualitative Theory of Differential Equations, 2016 We obtain new Lyapunov-type inequalities for systems of nonlinear impulsive differential equations, special cases of which include the impulsive Emden-Fowler equations and half-linear equations.
Zeynep Kayar, Agacik Zafer
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Lyapunov-type inequalities for sequential fractional boundary value problems using Hilfer’s fractional derivative [PDF]
Journal of Inequalities and Applications, 2019 This paper is devoted to studying the Lyapunov-type inequality for sequential Hilfer fractional boundary value problems. We first provide some properties of Hilfer fractional derivative, and then establish Lyapunov-type inequalities for a sequential ...
Wei Zhang, Wenbin Liu
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Axioms, 2023 This study outlines the necessary and sufficient criteria for swarm stability asymptotically, meaning consensus in a class of fractional-order multi-agent systems (FOMAS) with interval uncertainties for both fractional orders 0 < α < 1 and 1 < α < 2. The
Mohammadreza Riazat +3 more
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State Estimation for Standard Neural Network Models with Time-Varying Delays
Complexity, 2022 The paper deals with the issue of state estimation for standard neural network models with time-varying delays. A new augmented vector with the derivative of the state is introduced in the Lyapunov–Krasovskii functional. The state estimation criteria are
Jin Zhu, Tai-Fang Li, Huanqing Wang
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LYAPUNOV INEQUALITY FOR AN EQUATION WITH FRACTIONAL DERIVATIVES WITH DIFFERENT ORIGINS [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2019 We consider an ordinary differential equation of fractional order with the composition of left- and right-sided fractional derivatives, which is a model equation of motion in fractal media.
L. M. Eneeva
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IEEE Access, 2020 This paper investigates the stability analysis of sampled-data control systems with nonuniform sampling and communication delays. First, by taking full advantage of effective information of the sampling intervals [tk, tk+1) and [tk-τ, tk+1-τ
Hong-Hai Lian +3 more
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Stability of port-Hamiltonian systems with mixed time delays subject to input saturation
Nonlinear Analysis, 2023 In this paper, we investigate the stability of port-Hamiltonian systems with mixed time-varying delays as well as input saturation. Three types of time delays, including state delay, input delay, and output delay, are all assumed to be bounded.
Yufei Chen, Qihuai Liu
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IEEE Access, 2020 This paper investigates the stability of time-delayed load frequency control (LFC) systems with electric vehicles (EV) aggregators based on Lyapunov theory and linear matrix inequality (LMI) technology.
Sha-Jun Zhou +2 more
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