Results 11 to 20 of about 73,396 (227)

Lyapunov stability theory of nonsmooth systems [PDF]

open access: yesIEEE Transactions on Automatic Control, 1994
Summary: This paper develops nonsmooth Lyapunov stability theory and LaSalle's invariance principle for a class of nonsmooth Lipschitz continuous Lyapunov functions and absolutely continuous state trajectories. Computable tests based on Filipov's differential inclusion and Clarke's generalized gradient are derived.
B Paden
exaly   +2 more sources

Morse theory and Lyapunov stability on manifolds [PDF]

open access: yesJournal of Mathematical Sciences, 2011
The aim of this article is to recall the main theorems of Morse theory and to infer some corollaries for the problem of Lyapunov stability on manifolds. It makes a link between Morse theory and the general theory of the Lyapunov stability for dynamical systems.
exaly   +4 more sources

Lyapunov stability in an evolutionary game theory model of the labour market [PDF]

open access: yesEconomiA, 2014
AbstractIn this paper the existence and stability of equilibriums in an evolutionary game theory model of the labour market is studied by using the Lyapunov method. The model displays multiple equilibriums and it is shown that the Nash equilibriums of the static game are evolutionary stable equilibrium in the game theory evolutionary set up. A complete
Araujo, Ricardo Azevedo   +1 more
openaire   +5 more sources

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

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