Stability of infinite dimensional interconnected systems with impulsive and stochastic disturbances
type: Item
instance of: scholarly article
title: Stability of infinite dimensional interconnected systems with impulsive and stochastic disturbances
zbMATH Open document ID: 1406.93081
DOI: 10.1155/2014/471481
author: Xiaohui Xu
author: Peng Wang
author: Xiao-Feng Yin
author: Ji-Ye Zhang
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: Some research on the stability with mode constraint for a class of infinite dimensional look-ahead interconnected systems with impulsive and stochastic disturbances is studied by using the vector Lyapunov function approach. Intuitively, the stability with mode constraint is the property of damping disturbance propagation. Firstly, we derive a set of sufficient conditions to assure the stability with mode constraint for a class of general infinite dimensional look-ahead interconnected systems with impulsive and stochastic disturbances. The obtained conditions are less conservative than the existing ones. Secondly, the controller for a class of look-ahead vehicle following systems with the above uncertainties is constructed by the sliding mode control method. Based on the obtained new stability conditions, the domain of the control parameters of the systems is proposed. Finally, a numerical example with simulations is given to show the effectiveness and correctness of the obtained results.
Mathematics Subject Classification ID: 93B12
Mathematics Subject Classification ID: 93D05
Mathematics Subject Classification ID: 93C73
zbMATH DE Number: 7022441
zbMATH Keywords: infinite dimensional interconnected systems
zbMATH Keywords: stability
zbMATH Keywords: impulsive and stochastic disturbances
zbMATH Keywords: sliding mode control
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/471481
OpenAlex ID: W2100176119
Wikidata QID: Q59038518
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description: scientific article; zbMATH DE number 7022441