Results 41 to 50 of about 10,725,924 (346)
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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Global asymptotic properties for a Leslie-Gower food chain model
, 2009 We study global asymptotic properties of a continuous time Leslie-Gower food chain model. We construct a Lyapunov function which enables us to establish global asymptotic stability of the unique coexisting equilibrium state.Comment: 5 Pages, 1 figure ...
Korobeinikov, Andrei, Lee, William T.
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On Vector Lyapunov Functions [PDF]
Proceedings of the American Mathematical Society, 1971 It has been proved that the use of a vector Lyapunov function is more advantageous in certain situations rather than a scalar function. Moreover, each function needs to satisfy less rigid requirements. In this paper a new situation has been considered where vector Lyapunov functions play a further useful role. For this purpose, a new type of stability,
openaire +1 more source
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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Input-to-state stability of infinite-dimensional control systems
, 2012 We develop tools for investigation of input-to-state stability (ISS) of infinite-dimensional control systems. We show that for certain classes of admissible inputs the existence of an ISS-Lyapunov function implies the input-to-state stability of a system.
AM Turing +25 more
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Lyapunov Function and Sliding Mode Control Approach for the Solar-PV Grid Interface System
IEEE transactions on industrial electronics (1982. Print), 2017 This paper deals with control of a solar-photovoltaic (PV) power-generating system interfaced with the grid. A sliding mode control approach is used for achieving maximum power tracking control of a solar-PV array.
M. Rezkallah +4 more
semanticscholar +1 more source
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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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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International Journal of Adaptive Control and Signal Processing, EarlyView.This paper proposes two projector‐based Hopfield neural network (HNN) estimators for online, constrained parameter estimation under time‐varying data, additive disturbances, and slowly drifting physical parameters. The first is a constraint‐aware HNN that enforces linear equalities and inequalities (via slack neurons) and continuously tracks the ...
Miguel Pedro Silva
wiley +1 more source
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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