Stability analysis for positive switched systems having stable and unstable subsystems based on a weighted average dwell time scheme

Yu, Qiang; Yuan, Xiaoyan

doi:10.1016/j.isatra.2022.10.019

ISA Transactions

2023

DOI: 10.1016/j.isatra.2022.10.019

|View full text |Cite

Stability analysis for positive switched systems having stable and unstable subsystems based on a weighted average dwell time scheme

Qiang Yu

Xiaoyan Yuan

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2024

Publication Types

Select...

Article6

Relationship

Self Cite0

Independent6

Authors

Journals

Cited by 16 publications

(1 citation statement)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In [40], the authors derived stability for a discrete-time switched system with unstable subsystems via multiple Lyapunov functions. In [36], the authors discussed stability of switched systems which have some unstable subsystems via a weighted average dwell time scheme. The author in [13] investigated stability for discrete-time time-varying switched systems with the introduced indefinite difference Lyapunov functions.…”

mentioning

confidence: 99%

Stability analysis of discrete-time switched systems with all unstable subsystems

Li,

Wei

2024

DCDS-S

View full text Add to dashboard Cite

In this manuscript, it is investigated that the stability property of a discrete-time switched system consisting of all unstable subsystems. Under a switching signal with certain conditions, the sufficient constraints for asymptotic stability of a discrete-time switched system composed of all unstable subsystems are obtained via Lyapunov functions and the defined divergence time. Furthermore, based on this result, linear matrix inequalities are obtained for asymptotic stability of a linear discrete-time switched system composed of all unstable subsystems. The efficiency of the acquired theorems is exhibited by three numerical examples.

show abstract

mentioning

confidence: 99%

Stability analysis of discrete-time switched systems with all unstable subsystems

Li,

Wei

2024

DCDS-S

View full text Add to dashboard Cite

show abstract

Stability analysis of discrete‐time switched positive linear systems with unstable subsystem

Liu,

Zhang,

Karimi

et al. 2024

Asian Journal of Control

View full text Add to dashboard Cite

This paper deals with the problem of stability analysis for discrete‐time switched positive linear systems with unstable subsystems. The fundamental concept involves utilizing the stability properties of switching behavior to counteract the state divergence introduced by unstable systems. Moreover, the existing results in the literature lack a method that can simultaneously address the stability analysis of switching positive systems containing only stable subsystems or containing unstable subsystems or only unstable subsystems. Therefore, in this paper, based on the widely used discretization Lyapunov function method in time‐delay systems, a new dwell‐time dependent co‐positive Lyapunov function was proposed by applying it to switched positive systems. A computable sufficient condition for stability analysis of switched linear systems with unstable subsystems was established within the dwell time framework. To verify the effectiveness of the results, this paper provides a numerical example and an example of supersaturated cross signal control for illustration, as well.

show abstract

Asynchronous control for nonlinear switched stochastic delayed systems with weighted mode‐dependent average dwell time

Liu,

Li,

Chen

2024

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

This article investigates the asynchronous control for a class of nonlinear switched stochastic delayed systems. In response to this issue, the weighted mode‐dependent average dwell time is first applied to switched stochastic systems as a more general switching signal. In addition, the asynchronous phenomenon is considered to address the mismatch in practical applications, where “mismatch” means the switching of the controllers has a delay to the switching of system modes. Then by selecting new multiple Lyapunov–Krasovskii functionals, sufficient conditions for mean‐square exponential stability and an performance are derived. Finally, numerical examples are provided to illustrate the effectiveness of the proposed methods.

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Stability analysis for positive switched systems having stable and unstable subsystems based on a weighted average dwell time scheme

Cited by 16 publications

References 31 publications

Stability analysis of discrete-time switched systems with all unstable subsystems

Stability analysis of discrete-time switched systems with all unstable subsystems

Stability analysis of discrete‐time switched positive linear systems with unstable subsystem

Asynchronous control for nonlinear switched stochastic delayed systems with weighted mode‐dependent average dwell time

Contact Info

Product

Resources

About