Results 61 to 70 of about 625,732 (254)
Stability of interconnected impulsive systems with and without time-delays using Lyapunov methods [PDF]
, 2012 In this paper we consider input-to-state stability (ISS) of impulsive control systems with and without time-delays. We prove that if the time-delay system possesses an exponential Lyapunov-Razumikhin function or an exponential Lyapunov-Krasovskii ...
Dashkovskiy, Sergey +3 more
core
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.
core +1 more source
On Duality for Lyapunov Functions of Nonstrict Convex Processes [PDF]
arXiv, 2020 This paper provides a novel definition for Lyapunov functions for difference inclusions defined by convex processes. It is shown that this definition reflects stability properties of nonstrict convex processes better than previously used definitions.
arxiv
An analysis for a special class of solution of a Duffing system with variable delays
AIMS Mathematics, 2021 In this study, we are concerned the existence of pseudo almost automorphic (PAA) solutions and globally exponential stability of a Duffing equation system with variable delays.
Ramazan Yazgan
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Nonlinear Control Strategy of MMC-RPC Based on Lyapunov Function
机车电传动, 2021 In order to comprehensively control the power quality in the traction power supply system, based on the power compensation vector diagram, the power relationship between the left and right power supply sections of the V/v traction transformer was ...
Pinggang SONG +4 more
doaj
TecnoLógicas, 2022 This article addresses the problem regarding power regulation in classical DC-DC second-order converters by means of a nonlinear control technique based on inverse optimal control theory.
Juan Sebastián Gómez-Chitiva +2 more
doaj +1 more source
Practical stability for nonlinear systems with generalized conformable derivative
AIMS Mathematics, 2023 In this study, we give the stability analysis of a class of nonlinear systems with a generalized conformable derivative, which guarantees that their solutions converge to a ball centered at the origin.
Mohammed Aldandani +2 more
doaj +1 more source
Nonautonomous Dynamical Systems, 2015 In this paper we investigate additional regularity properties for global and trajectory attractors of all globally defined weak solutions of semi-linear parabolic differential reaction-diffusion equations with discontinuous nonlinearities, when initial ...
Gluzman Mark O. +2 more
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Lyapunov Matrices Approach to the Parametric Optimization of a System with Two Delays
Archives of Control Sciences, 2016 In the paper a Lyapunov matrices approach to the parametric optimization problem of time-delay systems with two commensurate delays and a P-controller is presented. The value of integral quadratic performance index of quality is equal to the value of the
Duda Jozef
doaj +1 more source
Practical stability and Lyapunov functions [PDF]
Tohoku Mathematical Journal, 1980 The notion of "practical stability" was discussed in the monograph by LaSalle and Lefschetz [6] in which they point out that stability investigations may not assure "practical stability" and vice versa. For example an aircraft may oscillate around a mathematically unstable path, yet its performance may be acceptable.
Lakshmikantham, V., Bernfeld, Stephen R.
openaire +2 more sources