Lyapunov Function and Exponential Trichotomy on Time Scales
Discrete Dynamics in Nature and Society, 2011 We study the relation between Lyapunov function and exponential trichotomy for the linear equation 𝑥Δ=𝐴(𝑡)𝑥 on time scales. Furthermore, as an application of these results, we give the roughness of exponential trichotomy on time scales.
Ji Zhang
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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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Stochastic stability of viscoelastic systems under Gaussian and Poisson white noise excitations [PDF]
, 2018 As the use of viscoelastic materials becomes increasingly popular, stability of viscoelastic structures under random loads becomes increasingly important.
Gu, J, Li, X, Ma, F, Xu, W
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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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Explicit Reference Governor for Continuous Time Nonlinear Systems Subject to Convex Constraints [PDF]
, 2014 This paper introduces a novel closed-form strategy that dynamically modifies the reference of a pre-compensated nonlinear system to ensure the satisfaction of a set of convex constraints.
Garone, Emanuele, Nicotra, Marco M.
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On a thermodynamically consistent modification of the Becker-Doering equations [PDF]
, 2005 Recently, Dreyer and Duderstadt have proposed a modification of the Becker--Doering cluster equations which now have a nonconvex Lyapunov function. We start with existence and uniqueness results for the modified equations.
Amann +21 more
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A Lyapunov Function and Global Stability for a Class of Predator-Prey Models
Discrete Dynamics in Nature and Society, 2012 We construct a new Lyapunov function for a class of predation models. Global stability of the positive equilibrium states of these systems can be established when the Lyapunov function is used.
Xiaoqin Wang, Huihai Ma
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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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Physics-informed transient stability assessment of microgrids
iEnergy, 2023 With the integration of a voltage source converter (VSC), having variable internal voltages and source impedance, in a microgrid with high resistance to reactance ratio of short lines, angle-based transient stability techniques may find limitations ...
Priyanka Mishra, Peng Zhang
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Lyapunov constraints and global asymptotic stabilization [PDF]
, 2011 In this paper, we develop a method for stabilizing underactuated mechanical systems by imposing kinematic constraints (more precisely Lyapunov constraints).
Grillo, Sergio +2 more
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