Articles with "homogeneous polynomial" as a keyword



Photo from archive.org

Gain-Scheduled H∞ Control for Discrete-Time Polynomial LPV Systems Using Homogeneous Polynomial Path-Dependent Lyapunov Functions

Sign Up to like & get
recommendations!
Published in 2018 at "IFAC-PapersOnLine"

DOI: 10.1016/j.ifacol.2018.11.142

Abstract: Abstract This paper provides linear matrix inequality (LMI) analysis and synthesis conditions for the design of H∞ robust and gain-scheduled static output feedback controllers, for discrete-time linear parameter-varying systems. It is assumed that the system… read more here.

Keywords: scheduling parameters; discrete time; gain scheduled; time ... See more keywords
Photo by dawson2406 from unsplash

Exponential Stability Analysis for Delayed Semi-Markovian Recurrent Neural Networks: A Homogeneous Polynomial Approach

Sign Up to like & get
recommendations!
Published in 2018 at "IEEE Transactions on Neural Networks and Learning Systems"

DOI: 10.1109/tnnls.2018.2830789

Abstract: This paper investigates the exponential stability analysis issue for a class of delayed recurrent neural networks (RNNs) with semi-Markovian parameters. By constructing a stochastic Lyapunov functional and using some zoom techniques to estimate its weak… read more here.

Keywords: neural networks; stability analysis; homogeneous polynomial; recurrent neural ... See more keywords
Photo by erol from unsplash

Period annulus of the harmonic oscillator with zero cyclicity under perturbations with a homogeneous polynomial field

Sign Up to like & get
recommendations!
Published in 2019 at "Electronic Journal of Qualitative Theory of Differential Equations"

DOI: 10.14232/ejqtde.2019.1.3

Abstract: In this work we prove, using averaging theory at any order in the small perturbation parameter, that the period annulus of the harmonic oscillator has cyclicity zero (no limit cycles bifurcate) when it is perturbed… read more here.

Keywords: period annulus; homogeneous polynomial; harmonic oscillator; annulus harmonic ... See more keywords