Positiveness and observer-based finite-time control for a class of Markov jump systems with some complex environment parameters
type: Item
instance of: scholarly article
title: Positiveness and observer-based finite-time control for a class of Markov jump systems with some complex environment parameters
zbMATH Open document ID: 1407.93419
DOI: 10.1155/2018/5365493
author: Chengcheng Ren
author: Shuping He
author: Junpei Zhong
published in: Complexity
publication date: 2019-02-19T00:00:00Z
review text: Summary: An observer-based finite-time \(L_2\)-\(L_\infty\) control law is devised for a class of positive Markov jump systems in a complex environment. The complex environment parameters include bounded uncertainties, unknown nonlinearities, and external disturbances. The objective is to devise an appropriate observer-based control law that makes the corresponding augment error dynamic Markov jump systems be positive and finite-time stabilizable and satisfy the given \(L_2\)-\(L_\infty\) disturbance attenuation index. A sufficient condition is initially established on the existence of the observer-based finite-time controller by using proper stochastic Lyapunov-Krasovskii functional. The design criteria are presented by means of linear matrix inequalities. Finally, the feasibility and validity of the main results can be illustrated through a numerical example.
Mathematics Subject Classification ID: 93E15
Mathematics Subject Classification ID: 93D05
Mathematics Subject Classification ID: 60J75
zbMATH DE Number: 7025041
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/5365493
OpenAlex ID: W2900236985
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Wikidata QID: Q128973771
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description: scientific article; zbMATH DE number 7025041