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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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Sharp Lyapunov inequalities and the emergence of chaos in discrete fractional systems [PDF]
Scientific ReportsIn this article, novel results on the maximality of discrete fractional Green’s functions are established and corresponding explicit Lyapunov inequalities for delta fractional systems, with applications to chaos analysis and robust control design, are ...
Meraa Arab +3 more
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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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Cellular automata and Lyapunov exponents [PDF]
, 2002 In this article we give a new definition of some analog of Lyapunov exponents for cellular automata . Then for a shift ergodic and cellular automaton invariant probability measure we establish an inequality between the entropy of the automaton, the ...
Blanchard F +12 more
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IEEE Access, 2020 This paper proposes a novel generalized integral inequality based on free matrices and applies it to stability analysis of time-varying delay systems. The proposed integral inequality estimates the upper bound of the augmented quadratic term of the state
Jun Hui Lee, In Seok Park, Poogyeon Park
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