Advanced search
Publication Cover
Stochastic Analysis and Applications Volume 37, 2019 - Issue 6
Submit an article Journal homepage
286
Views
55
CrossRef citations to date
0
Altmetric
Articles

Stability of random impulsive coupled systems on networks with Markovian switching

Mengxin WangDepartment of Mathematics, Harbin Institute of Technology at Weihai, Weihai, Shandong, People's Republic of ChinaView further author information
&
Wenxue LiDepartment of Mathematics, Harbin Institute of Technology at Weihai, Weihai, Shandong, People's Republic of ChinaCorrespondence[email protected] [email protected]
View further author information
Pages 1107-1132 | Received 04 Nov 2018, Accepted 09 Jul 2019, Published online: 29 Jul 2019
 
Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days

Abstract

This article is intended to study global asymptotical stability in probability for random impulsive coupled systems on networks with Markovian switching. Two cases are considered. (1) Continuous dynamics are stable while impulses are unstable; (2) impulses are stable while continuous dynamics are unstable. To begin with, based on Lyapunov method as well as graph-theoretic technique, several new stability criteria in two cases are derived, that are, the Lyapunov-type criteria and the coefficients-type criteria. Then main results are used for a class of random impulsive coupled oscillators. Finally, the effectiveness of the obtained results is verified by numerical simulations.

Additional information

Funding

This work was supported by Shandong Province Natural Science Foundation (Nos. ZR2018MA005, ZR2018MA020, ZR2017MA008); the Key Project of Science and Technology of Weihai (No. 2014DXGJMS08) and the Innovation Technology Funding Project in Harbin Institute of Technology (No. HIT.NSRIF.201703)

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related Research Data

Hyperchaotic behaviour of two bi‐directionally coupled Chua's circuits
Source: Wiley
D. LI, P. CHENG AND S. HE
Source: Wiley
Qualitative and Asymptotic Analysis of Differential Equations with Random Perturbations
Source: WORLD SCIENTIFIC
Stability analysis for impulsive stochastic delay differential equations with Markovian switching
Source: Elsevier BV
Graph-Theoretical Method to the Existence of Stationary Distribution of Stochastic Coupled Systems
Source: Springer Science and Business Media LLC
Codimension-two bursting analysis in the delayed neural system with external stimulations
Source: Springer Science and Business Media LLC
Convergence behavior of delayed discrete cellular neural network without periodic coefficients.
Source: Elsevier BV
Global-stability problem for coupled systems of differential equations on networks
Source: Elsevier Inc.
Stabilization of stochastic Markovian switching systems on networks with multilinks based on aperiodically intermittent control: A new differential inequality technique
Source: Wiley
Brief paper: Input-to-state stability and integral input-to-state stability of nonlinear impulsive systems with delays
Source: Elsevier BV
pth Moment exponential stability of impulsive stochastic functional differential equations with Markovian switching
Source: Elsevier BV
Stabilization of stochastic coupled systems with Markovian switching
Source: Wiley
Dynamic analysis of Markovian jumping impulsive stochastic Cohen–Grossberg neural networks with discrete interval and distributed time-varying delays
Source: Elsevier BV
Maximum likelihood estimates of the central frequency of narrow-band random normal processes from a minimum number of samples
Source: Pleiades Publishing Ltd
Stability Criteria of Random Nonlinear Systems and Their Applications
Source: Institute of Electrical and Electronics Engineers (IEEE)
Stability of Solutions for Stochastic Impulsive Systems via Comparison Approach
Source: Institute of Electrical and Electronics Engineers (IEEE)
Some criteria for the existence of invariant measures and asymptotic stability for random dynamical systems on polish spaces
Source: Informa UK Limited
Stability of impulsive stochastic differential equations with Markovian switching
Source: Elsevier BV
Stability analysis of random systems with Markovian switching and its application
Source: Elsevier BV
Razumikhin-Type Theorems on $p$ th Moment Exponential Stability of Impulsive Stochastic Delay Differential Equations
Source: Institute of Electrical and Electronics Engineers (IEEE)
Stability Analysis of Genetic Regulatory Networks With General Random Disturbances
Source: Institute of Electrical and Electronics Engineers (IEEE)
Avoiding Frequency Second Dip in Power Unreserved Control During Wind Power Rotational Speed Recovery
Source: Institute of Electrical and Electronics Engineers (IEEE)
Stability analysis for a class of random nonlinear impulsive systems
Source: Wiley
Stabilization of stochastic complex-valued coupled delayed systems with Markovian switching via periodically intermittent control
Source: Elsevier BV
Adaptive tracking control for a class of random pure-feedback nonlinear systems with Markovian switching
Source: Wiley
Linear matrix inequality approach to local stability analysis of discrete-time Takagi–Sugeno fuzzy systems
Source: Institution of Engineering and Technology (IET)
Integral input-to-state stability for hybrid delayed systems with unstable continuous dynamics
Source: Elsevier BV
Controlling the nonlinear chemical signal in a coupled system by delay
Source: Elsevier BV
On Stability of a Class of Switched Nonlinear Systems Subject to Random Disturbances
Source: Institute of Electrical and Electronics Engineers (IEEE)
p-Moment Stability of Stochastic Nonlinear Delay Systems with Impulsive Jump and Markovian Switching
Source: Informa UK Limited
pth Moment stability of impulsive stochastic delay differential systems with Markovian switching
Source: Elsevier BV
Quasi sure exponential stabilisation of impulsive stochastic complex networks under a sublinear expectation framework
Source: Informa UK Limited
Noise-to-state stability analysis for a class of random time-delay nonlinear systems:
Source: SAGE Publications

Linking provided by 

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.