Results 41 to 50 of about 10,459,087 (262)
Linear relaxations of polynomial positivity for polynomial Lyapunov function synthesis [PDF]
IMA Journal of Mathematical Control and Information, 2014 In this paper, we examine linear programming (LP) based relaxations for synthesizing polynomial Lyapunov functions to prove the stability of polynomial ODEs.
Mohamed Amin Ben Sassi +3 more
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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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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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Plurisubharmonic Lyapunov functions
Michigan Mathematical Journal, 2004 Suppose the holomorphic map \(f: \mathbb{C}\mathbb{P}^2\to \mathbb{C}\mathbb{P}^2\) has an invariant nonsingular quadratic curve \(A\) contained in the critical set of. The author proves that the pluricomplex Green function \(G_K\) for the repeller \(K\) dual to \(A\), with logarithmic pole along \(A\), is a PSH Lyapunov function for \(f\) in \(\mathbb{
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Journal of Mathematics and Computer Science, 2018 This paper deals with an exponential form for Lyapunov function, in perspective to analyze the Lyapunov characterization of the Mittag-Leffler stability and the asymptotic stability for the fractional differential equations.
N. Sene
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Regular Attractor by Strict Lyapunov Function for Random Dynamical Systems
Wasit Journal for Pure SciencesThe main objective of this paper is to study some types of random attractors in random dynamical systems based on the random strict Lyapunov function.
Hind Adnan Hashim
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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
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Lyapunov functions and isolating blocks
Journal of Differential Equations, 1973 Let M denote a smooth (Cm) n-dimensional manifold and let $: M x R -+ M denote a Cr flow (or dynamical system) which is generated by a CT vector field 4 (= (d/dt) +(t, x) j t = 0) on M (0 max(1, r}. In this case, we can only obtain Ck smoothness for functions on M. Let K denote a compact invariant set for ‘p, i.e., K is a compact subset of M and if x
James A. Yorke, F.Wesley Wilson
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Estimation of the Domain of Attraction of Free Tumor Equilibrium Point for Perturbed Tumor Immunotherapy Model [PDF]
AUT Journal of Electrical Engineering, 2018 In this paper, we are going to estimate the domain of attraction of tumor-free equilibrium points in a perturbed cancer tumor model describing the tumor-immune system competition dynamics.
A. Dini, M.J. Yazdanpanah
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Global dynamics of SVIR epidemic model with distributed delay and imperfect vaccine
Results in Physics, 2021 In this research, we investigate an SVIR system with distributed delay. We first provide some preliminary results on the proprieties of the Volterra function and the well-posedness of the solution, also the existence of a global compact attractor denoted
Salih Djilali, Soufiane Bentout
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