Robust adaptive tracking for Markovian jump nonlinear systems with unknown nonlinearities
type: Item
instance of: scholarly article
title: Robust adaptive tracking for Markovian jump nonlinear systems with unknown nonlinearities
zbMATH Open document ID: 1115.93094
DOI: 10.1155/DDNS/2006/92932
author: Jin Zhu
author: Hongsheng Xi
author: Haibo Ji
author: Bing Wang
published in: Discrete Dynamics in Nature and Society
publication date: 2007-03-19T00:00:00Z
full work available at URL: https://eudml.org/doc/127684
review text: Summary: Robust adaptive tracking problems for a class of Markovian jump parametric-strict-feed-back systems with both parametric uncertainty and unknown nonlinearity are investigated. The unknown nonlinearities considered herein lie within some ``bounding functions,'' which are assumed to be partially known. By using a stochastic Lyapunov method and backstepping techniques, a parameter adaptive law and a control law were obtained, which guarantee that the tracking error could be within a small neighborhood around the origin in the sense of the fourth moment. Moreover, all signals of the closed-loop system could be globally uniformly ultimately bounded.
Mathematics Subject Classification ID: 93E15
Mathematics Subject Classification ID: 93D21
Mathematics Subject Classification ID: 93C41
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 5134611
zbMATH Keywords: stochastic Lyapunov method
zbMATH Keywords: Markovian jump parametric strict feedback systems
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 5134611