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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The Role of Convexity in Saddle-Point Dynamics: Lyapunov Function and Robustness [PDF]
IEEE Transactions on Automatic Control, 2016 This paper studies the projected saddle-point dynamics associated to a convex–concave function, which we term saddle function. The dynamics consists of gradient descent of the saddle function in variables corresponding to convexity and (projected ...
A. Cherukuri +3 more
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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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Lyapunov-theory-based radial basis function networks for adaptive filtering
, 2002 Two important convergence properties of Lyapunov-theory-based adaptive filtering (LAF) adaptive filters are first explored. The LAF finite impulse response and infinite impulse response adaptive filters are then realized using the radial basis function ...
Zhihong Man (18924160) +2 more
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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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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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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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Journal of Applied Mathematics, 2013 The problem of pth mean exponential stability and stabilizability of a class of stochastic nonlinear and bilinear hybrid systems with unstable and stable subsystems is considered.
Ewelina Seroka, Lesław Socha
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