Results 21 to 30 of about 3,224,849 (346)
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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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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Further Remarks on Strict Input-to-State Stable Lyapunov Functions for Time-Varying Systems [PDF]
, 2004 We study the stability properties of a class of time-varying nonlinear systems. We assume that non-strict input-to-state stable (ISS) Lyapunov functions for our systems are given and posit a mild persistency of excitation condition on our given Lyapunov ...
Angeli +20 more
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Feedback Stabilization and Lyapunov Functions [PDF]
SIAM Journal on Control and Optimization, 2000 The authors consider the problem of finding a feedback stabilizing law \(x \to k(x)\) associated with a control system \(x'(t) = f(x(t),u(t))\). Using the concept of positional strategies introduced in the framework of differential games by Krasovskii and Subbotin in 1988, assuming the existence of a Lyapunov Lipschitz function \(V\) defined on the ...
Clarke, F.H. +3 more
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Computational Stability Analysis of Lotka-Volterra Systems
Hungarian Journal of Industry and Chemistry, 2016 This paper concerns the computational stability analysis of locally stable Lotka-Volterra (LV) systems by searching for appropriate Lyapunov functions in a general quadratic form composed of higher order monomial terms.
Polcz Péter, Szederkényi
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On finite-time stability and stabilization of nonlinear hybrid dynamical systems
AIMS Mathematics, 2021 Finite time stability involving dynamical systems whose trajectories converge to a Lyapunov stable equilibrium state in finite time have been studied for both continuous-time and discrete-time systems.
Junsoo Lee, Wassim M. Haddad
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TIME-VARYING LYAPUNOV FUNCTIONS AND LYAPUNOV STABILITY OF NONAUTONOMOUS FRACTIONAL ORDER SYSTEMS
International Journal of Apllied Mathematics, 2019 We present a new inequality which involves the Caputo fractional derivative of the product of two continuously differentiable functions, and establish its various properties. The inequality and its properties enable us to construct potential time-varying
B. K. Lenka
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IEEE Transactions on Automatic Control, 2021 This article investigates the stability of continuous-time switched linear systems with dwell-time constraints. A fresh insight into this established problem is provided via novel stability conditions that require the solution to a family of differential
Shuai Yuan +3 more
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Lyapunov stability for discontinuous systems
, 2020 The present work studies the stability analysis of equilibrium of ordinary differential equations with the discontinuous right side, also called discontinuous differential equations, using the notion of Caratheodory solution for differential equations ...
I. Santos
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