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A Novel Fractional-Order System: Chaos, Hyperchaos and ‎Applications to Linear Control [PDF]

open access: yesJournal of Applied and Computational Mechanics, 2021
Chaos and hyperchaos are generated from a new fractional-order system. Local stability of the system’s three equilibria is analyzed when the fractional parameter belongs to (0,2].
Ahmed Ezzat Matouk
doaj   +1 more source

Practical stability for fractional impulsive control systems with noninstantaneous impulses on networks

open access: yesNonlinear Analysis, 2022
This paper investigates practical stability for a class of fractional-order impulsive control coupled systems with noninstantaneous impulses on networks.
Jin You, Shurong Sun
doaj   +1 more source

Aleksandr Lyapunov, the man who created the modern theory of stability [PDF]

open access: yesریاضی و جامعه, 2023
The outstanding Russian mathematician Aleksandr M. Lyapunov passed away one hundred years ago, on November 6, 1918. Honouring his memory, we recall the main events of his life when he was a student, then from the years in Saint Petersburg until 1885 ...
Ramin Kazemi
doaj   +1 more source

Design of Distributed Interval Observers for Multiple Euler–Lagrange Systems

open access: yesMathematics, 2023
This paper investigates the problem of distributed interval estimation for multiple Euler–Lagrange systems. An interconnection topology is supposed to be strongly connected.
Zhihang Yin, Jun Huang, Thach Ngoc Dinh
doaj   +1 more source

Extension of SEIR Compartmental Models for Constructive Lyapunov Control of COVID-19 and Analysis in Terms of Practical Stability

open access: yesMathematics, 2021
Due to the worldwide outbreak of COVID-19, many strategies and models have been put forward by researchers who intend to control the current situation with the given means. In particular, compartmental models are being used to model and analyze the COVID-
Haiyue Chen   +2 more
doaj   +1 more source

Asymptotic and Pinning Synchronization of Fractional-Order Nonidentical Complex Dynamical Networks with Uncertain Parameters

open access: yesFractal and Fractional, 2023
This paper is concerned with the asymptotic and pinning synchronization of fractional-order nonidentical complex dynamical networks with uncertain parameters (FONCDNUP).
Yu Wang, Xiliang He, Tianzeng Li
doaj   +1 more source

Designing stable neural identifier based on Lyapunov method [PDF]

open access: yesJournal of Artificial Intelligence and Data Mining, 2015
The stability of learning rate in neural network identifiers and controllers is one of the challenging issues which attracts great interest from researchers of neural networks.
F. Alibakhshi   +3 more
doaj   +1 more source

An LMI Approach to Stability for Linear Time-Varying System with Nonlinear Perturbation on Time Scales

open access: yesAbstract and Applied Analysis, 2011
We consider Lyapunov stability theory of linear time-varying system and derive sufficient conditions for uniform stability, uniform exponential stability, 𝜓-uniform stability, and h-stability for linear time-varying system with nonlinear perturbation on ...
Kanit Mukdasai, Piyapong Niamsup
doaj   +1 more source

MIMO Lyapunov Theory-Based RBF Neural Classifier for Traffic Sign Recognition

open access: yesApplied Computational Intelligence and Soft Computing, 2012
Lyapunov theory-based radial basis function neural network (RBFNN) is developed for traffic sign recognition in this paper to perform multiple inputs multiple outputs (MIMO) classification.
King Hann Lim   +2 more
doaj   +1 more source

Applications of Lyapunov Functions to Caputo Fractional Differential Equations

open access: yesMathematics, 2018
One approach to study various stability properties of solutions of nonlinear Caputo fractional differential equations is based on using Lyapunov like functions.
Ravi Agarwal   +2 more
doaj   +1 more source

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