Suppression of Functional System with Markovian Switching

Li, Feng; Shen, Yi; Li, Zhuguo

doi:10.1007/978-3-642-34481-7_56

Search citation statements

Order By: Relevance

Paper Sections

Select...

Results1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2013

Publication Types

Select...

Article1

Relationship

Self Cite1

Independent0

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Motivated by [25,26] and other literatures, we introduce two appropriate intensity Brownian noise to perturb the system so as to suppress its potential explosion and stabilize it. Based on [28], we just slightly modify some conditions on its coefficients and add some contents, then we get some new conclusions about boundedness and stabilization of the system.…”

Section: Resultsmentioning

confidence: 99%

Stabilization of Functional System with Markovian Switching

Li¹,

Cai²

2013

Self Cite

View full text Add to dashboard Cite

There are many papers related to stability, some on suppression or on stabilization are one type of them. Functional differential systems are common and important in practice. They are special situations of neutral differential systems and generalization of ordinary differential systems. We discussed conditions on suppression on functional system with Markovian switching in our previous work: "Suppression of Functional System with Markovian Switching". Based on it, by slightly modifying and adding some conditions, we get this paper. In this paper, we will study a functional system whose coefficient satisfies the local Lipschitz condition and the one-sided polynomial growth condition under Markovian switching. By introducing two appropriate intensity Brownian noise, we find the potential explosion system stabilized.

show abstract

Section: Resultsmentioning

confidence: 99%