Impulsive control and synchronization of complex Lorenz systems
type: Item
instance of: scholarly article
title: Impulsive control and synchronization of complex Lorenz systems
zbMATH Open document ID: 1474.34361
DOI: 10.1155/2014/932327
author: Gamal Mahmoud
author: Shaban Aly
author: Ali S. Al-Qahtani
author: Houari Boumediène Khenous
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: In this paper, we continue our investigations on control and synchronization of the complex Lorenz systems by investigating impulsive control and synchronization. Nonlinear systems involving impulse effects, appear as a natural description of observed evolution phenomena of several real world problems; For example, many biological phenomena involving thresholds, bursting rhythm models in medicine and biology, optimal control models in economics, population dynamics and so forth do exhibit impulsive effects. Some new and more comprehensive criteria for global exponential stability and asymptotical stability of impulsively controlled complex Lorenz systems are established with varying impulsive intervals. The effectiveness of the proposed technique is verified through numerical simulations.
Mathematics Subject Classification ID: 34D06
Mathematics Subject Classification ID: 34A37
Mathematics Subject Classification ID: 34H10
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 7023339
Wikidata QID: Q59042931
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/932327
OpenAlex ID: W1967244898
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description: scientific article; zbMATH DE number 7023339