Asymptotic behaviours of stochastic differential delay equations [PDF]
, 2006 Most of the existing results on stochastic stability use a single Lyapunov function, but we shall instead use multiple Lyapunov functions in this paper.
Shen, Yi, Mao, Xuerong
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Discretized Lyapunov Function Approach for Switched Linear Systems under Dwell Time Constraint
Abstract and Applied Analysis, 2014 This paper is concerned with the stability and disturbance attenuation properties of switched linear system with dwell time constraint. A novel time-scheduled Lyapunov function is introduced to deal with the problems studied in this paper. To numerically
Yongchi Zhao +3 more
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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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A two-variable approach to solve the polynomial Lyapunov equation
, 2001 A two-variable polynomial approach to solve the one-variable polynomial Lyapunov equation is proposed. Lifting the problem from the one-variable to the two-variable context allows to use Faddeev-type recursions in order to solve the polynomial Lyapunov ...
Peeters, Ralf, Rapisarda, Paolo
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Lyapunov function search method for analysis of nonlinear systems stability using genetic algorithm
Научно-технический вестник информационных технологий, механики и оптикиA wide class of smooth continuous dynamic nonlinear systems (control objects) with a measurable state vector is considered. The problem of finding a special function (Lyapunov function), which guarantees asymptotic stability for the presented class of ...
A. M. Zenkin +2 more
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A Lyapunov Function For Logistic Equation On Time Scales
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2018 In this study we focus on the stability of dynamic logistic equation which is used in single species population dynamics. Here we have introduced a quadratic Lyapunov function for generalized dynamic logistic equation on time scales.
Veysel Fuat Hatipoğlu
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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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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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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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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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