Stochastic stabilization of Itô stochastic systems with Markov jumping and linear fractional uncertainty
type: Item
instance of: scholarly article
title: Stochastic stabilization of Itô stochastic systems with Markov jumping and linear fractional uncertainty
zbMATH Open document ID: 1263.93233
DOI: 10.1155/2013/697849
author: Fei Long
author: Hongmei Huang
author: Adan Ding
published in: Journal of Control Science and Engineering
publication date: 2013-06-10T00:00:00Z
review text: Summary: For a class of Itô stochastic linear systems with the Markov jumping and linear fractional uncertainty, the stochastic stabilization problem is investigated via state feedback and dynamic output feedback, respectively. In order to guarantee the stochastic stability of such uncertain systems, state feedback and dynamic output control law are, respectively, designed by using multiple Lyapunov function technique and LMI approach. Finally, two numerical examples are presented to illustrate our results.
Mathematics Subject Classification ID: 93E15
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93D30
Mathematics Subject Classification ID: 60J75
zbMATH DE Number: 6172161
zbMATH Keywords: Itô stochastic linear systems
zbMATH Keywords: Markov jumping
zbMATH Keywords: linear fractional uncertainty
zbMATH Keywords: stochastic stabilization
zbMATH Keywords: Lyapunov function
zbMATH Keywords: LMI approach
Wikidata QID: Q59012450
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/697849
OpenAlex ID: W1967637421
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description: scientific article; zbMATH DE number 6172161