Lyapunov Function based Criteria for Ship Rolling in Random Beam Seas
Polish Maritime Research, 2019 The aim of this study is to present a Lyapunov function which can be used to derive an intact stability criterion for a ship in random beam seas. First, the mathematical model of the rolling motion of ships in random beam seas is introduced.
Üçer Erdem
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Delay-Driven Computation Task Scheduling in Multi-Cell Cellular Edge Computing Systems
IEEE Access, 2019 This paper studies the joint scheduling of subcarrier, base station, transmit power, and virtual machine in multi-cell cellular edge computing systems to minimize the total delay experienced by tasks of users.
Yuan Zhang, Peng Du
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Numerical Methods That Preserve a Lyapunov Function for Ordinary Differential Equations
Mathematics, 2022 The paper studies numerical methods that preserve a Lyapunov function of a dynamical system, i.e., numerical approximations whose energy decreases, just like in the original differential equation.
Yadira Hernández-Solano, Miguel Atencia
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Matlab code for Lyapunov exponents of fractional order systems
, 2018 In this paper the Benettin-Wolf algorithm to determine all Lyapunov exponents for a class of fractional-order systems modeled by Caputo's derivative and the corresponding Matlab code are presented.
Danca, Marius-F., Kuznetsov, Nikolay
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Lyapunov Modes and Time-Correlation Functions for Two-Dimensional Systems [PDF]
, 2005 The relation between the Lyapunov modes (delocalized Lyapunov vectors) and the momentum autocorrelation function is discussed in two-dimensional hard-disk systems. We show numerical evidence that the smallest time-oscillating period of the Lyapunov modes
Morriss, Gary P., Taniguchi, Tooru
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Lyapunov matrices approach to the parametric optimization of a neutral system
Archives of Control Sciences, 2016 In the paper a Lyapunov matrices approach to the parametric optimization problem of a neutral system with a P-controller is presented. The value of integral quadratic performance index of quality is equal to the value of Lyapunov functional for the ...
Duda Jozef
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Lyapunov-type inequalities for fractional differential equations: a survey [PDF]
Surveys in Mathematics and its Applications, 2021 A survey of results on Lyapunov-type inequalities for fractional differential equations associated with a variety of boundary conditions is presented.
Sotiris K. Ntouyas, Bashir Ahmad
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Fluctuations of finite-time Lyapunov exponents in an intermediate-complexity atmospheric model: a multivariate and large-deviation perspective [PDF]
Nonlinear Processes in Geophysics, 2019 The stability properties as characterized by the fluctuations of finite-time Lyapunov exponents around their mean values are investigated in a three-level quasi-geostrophic atmospheric model with realistic mean state and variability.
F. Kwasniok
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On Vector Lyapunov Functions [PDF]
Proceedings of the American Mathematical Society, 1971 It has been proved that the use of a vector Lyapunov function is more advantageous in certain situations rather than a scalar function. Moreover, each function needs to satisfy less rigid requirements. In this paper a new situation has been considered where vector Lyapunov functions play a further useful role. For this purpose, a new type of stability,
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Global asymptotic properties for a Leslie-Gower food chain model
, 2009 We study global asymptotic properties of a continuous time Leslie-Gower food chain model. We construct a Lyapunov function which enables us to establish global asymptotic stability of the unique coexisting equilibrium state.Comment: 5 Pages, 1 figure ...
Korobeinikov, Andrei, Lee, William T.
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