Results 11 to 20 of about 3,031,723 (217)
Lyapunov Stability in the Cournot Duopoly Game
Discrete Dynamics in Nature and Society, 2023 This paper studies Lyapunov stability at a point and its application in the Cournot duopoly game. We first explore the relationship between Lyapunov stability at a point, nonsensitivity and non-Devaney chaos and find that a dynamical system is ...
Dan Zhu, Debing Ni
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Control and Synchronization of a Novel Realizable Nonlinear Chaotic System
Fractal and Fractional, 2023 The study proposes a novel chaotic system with a cubic non-linear term. Different system characteristics are investigated including equilibria, stability, invariance, dissipation, Lyapunov dimension, and Lyapunov exponents.
Mohammed Almuzaini, Abdullah Alzahrani
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Sufficient and necessary conditions for Lyapunov stability of genetic networks with SUM regulatory logic. [PDF]
Cogn Neurodyn, 2015 Zhou G, Huang J, Tian F, Liao X.
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Lyapunov Functions for State Observers of Dynamic Systems Using Hamilton–Jacobi Inequalities
Mathematics, 2020 Lyapunov functions enable analyzing the stability of dynamic systems described by ordinary differential equations without finding the solution of such equations. For nonlinear systems, devising a Lyapunov function is not an easy task to solve in general.
Angelo Alessandri
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IEEE Transactions on Smart Grid, 2022 This paper proposes a novel Neural Lyapunov method-based transient stability assessment framework for power electronics-interfaced networked microgrids. The assessment framework aims to determine the large-signal stability of the networked microgrids and
Tong Huang, Sicun Gao, Le Xie
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IEEE Transactions on Circuits and Systems - II - Express Briefs, 2020 In this brief, a reinforcement learning-based control approach for nonlinear systems is presented. The proposed control approach offers a design scheme of the adjustable policy learning rate (APLR) to reduce the influence imposed by negative or large ...
Ming Chen, H. Lam, Qian Shi, Bo Xiao
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Nonlinear 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
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Convergence of the Expectation-Maximization Algorithm Through Discrete-Time Lyapunov Stability Theory [PDF]
American Control Conference, 2018 In this paper, we propose a dynamical systems perspective of the Expectation-Maximization (EM) algorithm. More precisely, we can analyze the EM algorithm as a nonlinear state-space dynamical system.
O. Romero +2 more
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An analysis of dynamic stability of an elastic column
Theoretical and Applied Mechanics Letters, 2018 : By the Lyapunov direct method, dynamic stability of two conservative systems of finite degrees of freedom with one parameter is analyzed. Two Lyapunov functions are proposed for the two systems, respectively.
M. Jin
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Robust Stability for Impulsive Systems With Polytope Uncertainties
IEEE Access, 2019 This paper is concerned with robust stability for impulsive systems with polytope uncertainties. At first, the stability for impulsive systems without uncertainties is addressed by employing a Lyapunov-like functional.
Hanyong Shao, Wenjing Wang
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