Stability analysis for a type of multiswitching system with parallel structure
type: Item
instance of: scholarly article
title: Stability analysis for a type of multiswitching system with parallel structure
zbMATH Open document ID: 1427.93211
DOI: 10.1155/2018/3834601
author: Xianqiang Yang
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: This paper proposes a new type of multiswitching system and a subsystems-group as a basic switching unit that obeys the law. Unlike traditional switching systems, the system selects multiple subsystems instead of one on each time interval. Thus, a framework of parallel structure organizes the subsystems as a group. A multiswitched system is widely used in engineering for modelling and control; this system reflects the actual industrial dynamical process. Thus, the stability of the system is studied. Assuming that these continuous and discrete-time subsystems are Hurwitz and Schur stable, the subsystems-groups matrices commute each other based on the subsystems matrices pairwise commutative. Then, the multiswitched system is exponentially stable under arbitrary switching, and there exists a common Lyapunov function for these subsystems. The main result is extended to a parallel-like structure; therefore, some stability results are gained under some reasonable assumption. At last, a numeral example is given to illustrate the structure and the stability of this system.
Mathematics Subject Classification ID: 93D20
Mathematics Subject Classification ID: 34A30
Mathematics Subject Classification ID: 34A38
Mathematics Subject Classification ID: 93C30
zbMATH DE Number: 7018874
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/3834601
OpenAlex ID: W2886910515
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Wikidata QID: Q129406262
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description: scientific article; zbMATH DE number 7018874