A Convex Optimization Approach to Compute Trapping Regions for Lossless Quadratic Systems
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DOI: 10.1002/rnc.7807
Abstract: Quadratic systems with lossless quadratic terms arise in many applications, including models of atmosphere and incompressible fluid flows. Such systems have a trapping region if all trajectories eventually converge to and stay within a bounded… read more here.
Keywords: lossless quadratic; quadratic systems; trapping region; convex optimization ... See more keywords
H∞ Filter Design for T–S Fuzzy Nonlinear Quadratic Systems with Time-Varying Delay
Sign Up to like & getrecommendations! Published in 2019 at "Circuits, Systems, and Signal Processing"
DOI: 10.1007/s00034-019-01128-8
Abstract: AbstractThis paper focuses on the problem of H∞ filtering for continuous-time T–S fuzzy nonlinear quadratic systems with a varying time delay. To ensure H∞ performance bound for the augmented nonlinear quadratic system constituted by the… read more here.
Keywords: quadratic systems; time; nonlinear quadratic; fuzzy nonlinear ... See more keywords
Phase Portraits of the Family IV of the Quadratic Polynomial Differential Systems
Sign Up to like & getrecommendations! Published in 2025 at "Qualitative Theory of Dynamical Systems"
DOI: 10.1007/s12346-025-01227-9
Abstract: In the R2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {R}^2$$\end{document} plane, the simplest non-linear differential systems are the quadratic polynomial differential systems. This type of differential systems have been studied intensively because… read more here.
Keywords: family; differential systems; phase portraits; polynomial differential ... See more keywords
Phase portraits of separable quadratic systems and a bibliographical survey on quadratic systems
Sign Up to like & getrecommendations! Published in 2021 at "Expositiones Mathematicae"
DOI: 10.1016/j.exmath.2021.01.003
Abstract: Abstract Although planar quadratic differential systems and their applications have been studied in more than one thousand papers, we still have no complete understanding of these systems. In this paper we have two objectives. First… read more here.
Keywords: differential systems; separable quadratic; quadratic systems; bibliographical survey ... See more keywords
Results on finite-time boundedness and finite-time control of non-linear quadratic systems subject to norm-bounded disturbances
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DOI: 10.1049/iet-cta.2016.1434
Abstract: The present study investigates the synthesis of sufficient conditions for finite-time boundedness and stabilisation of non-linear quadratic systems with exogenous disturbances. For this purpose, the usefulness of combining the notion of annihilator with a version… read more here.
Keywords: finite time; time; non linear; linear quadratic ... See more keywords
Quadratic systems with a symmetrical solution
Sign Up to like & getrecommendations! Published in 2018 at "Electronic Journal of Qualitative Theory of Differential Equations"
DOI: 10.14232/ejqtde.2018.1.32
Abstract: In this paper we study the existence and uniqueness of limit cycles for so-called quadratic systems with a symmetrical solution: dx(t)/dt = P2(x, y) ≡ a00+ a10x + a01y + a20x2+ a11xy + a02y2dy(t)/dt =… read more here.
Keywords: system; symmetrical solution; limit; solution ... See more keywords