Results 1 to 10 of about 72,691 (241)

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

Journal 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

Nonlinear 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]

ریاضی 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
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Design of Distributed Interval Observers for Multiple Euler–Lagrange Systems

Mathematics, 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

Mathematics, 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, Benedikt Haus, Paolo Mercorelli   +2 more
doaj   +1 more source

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

Fractal 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]

Journal 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, M. Teshnehlab, M. Alibakhshi, M. Mansouri   +3 more
doaj   +1 more source

Stable Exact Solutions in Cosmological Models with Two Scalar Fields [PDF]

, 2010
The stability of isotropic cosmological solutions for two-field models in the Bianchi I metric is considered. We prove that the sufficient conditions for the Lyapunov stability in the Friedmann-Robertson-Walker metric provide the stability with respect ...
A. A. Starobinsky, A. G. Muslimov, A. G. Riess, A. M. Lyapunov, B. Zwiebach, C. Germani, G. F. R. Ellis, I. Moss, I. Ya. Aref’eva, I. Ya. Aref’eva, I. Ya. Aref’eva, I. Ya. Aref’eva, I. Ya. Aref’eva, I. Ya. Aref’eva, I. Ya. Aref’eva, I. Ya. Aref’eva, I. Ya. Aref’eva, I. Ya. Aref’eva, I. Ya. Aref’eva, I.Ya. Aref’eva, I.Ya. Aref’eva, J. D. Barrow, J. Sadeghi, J. Wainwright, K. Ohmori, L. Bianchi, N. V. Bulatov, O. DeWolfe, P. J. Steinhardt, R. Lazkoz, R. Lazkoz, R. M. Wald, S. Nesseris, S. W. Hawking, S. Weinberg, S. Yu. Vernov, S. Yu. Vernov, T. S. Pereira, U. Alam, Z.-K. Guo, Z.-K. Guo   +40 more
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Stability of time-varying systems in the absence of strict Lyapunov functions [PDF]

, 2019
When a non-linear system has a strict Lyapunov function, its stability can be studied using standard tools from Lyapunov stability theory. What happens when the strict condition fails?
Ikhouane, Fayçal, Naser, Mohammad Fuad Mohammad   +1 more
core   +2 more sources

HYDRODYNAMICAL STABILITY AND POINCARÉ-LYAPUNOV THEORY. I [PDF]

Proceedings of the National Academy of Sciences, 1956
Abstract : The purpose of the paper is to initiate a rigorous theory of hydrodynamical stability. Results were established corresponding to the classical PoincareLyapunov theory for systems of nonlinear ordinary differential equations, for classes of nonlinear partial differential equations occurring in hydrodynamics. (Author)
Bellman, Richard, Wing, G. Milton
openaire   +2 more sources