Synchronization and antisynchronization of a planar oscillation of satellite in an elliptic orbit via active control
type: Item
instance of: scholarly article
title: Synchronization and antisynchronization of a planar oscillation of satellite in an elliptic orbit via active control
zbMATH Open document ID: 1235.93193
DOI: 10.1155/2011/816432
author: Mohammad Shahzad
published in: Journal of Control Science and Engineering
publication date: 2012-03-09T00:00:00Z
review text: Summary: We investigate the synchronization and antisynchronization behavior of two identical planar oscillations of a satellite in elliptic orbit evolving from different initial conditions using the active control technique based on the Lyapunov stability theory and the Routh-Hurwitz criteria. The designed controller, with our own choice of the coefficient matrix of the error dynamics that satisfy the Lyapunov stability theory and the Routh-Hurwitz criteria, is found to be effective in the stabilization of the error states at the origin, thereby, achieving synchronization and antisynchronization between the states variables of two nonlinear dynamical systems under consideration. The results are validated by numerical simulations using Mathematica.
Mathematics Subject Classification ID: 93D05
Mathematics Subject Classification ID: 93B40
Mathematics Subject Classification ID: 93D21
Mathematics Subject Classification ID: 70P05
Mathematics Subject Classification ID: 93-04
zbMATH DE Number: 6013371
zbMATH Keywords: synchronization and antisynchronization
zbMATH Keywords: identical planar oscillations of a satellite in elliptic orbit
zbMATH Keywords: active control technique
zbMATH Keywords: Lyapunov stability theory
zbMATH Keywords: Routh-Hurwitz criteria
zbMATH Keywords: stabilization of error states
Wikidata QID: Q58690835
describes a project that uses: Mathematica
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/816432
OpenAlex ID: W2115848121
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description: scientific article; zbMATH DE number 6013371