NDLI: Almost sure exponential synchronisation of networked harmonic oscillators via intermittent coupling subject to Markovian jumping

Content Provider	IET Digital Library
Author	Wang, Jingyi Feng, Jianwen Xu, Chen Zhao, Yi
Abstract	Synchronisation behaviours emerge from the interaction of oscillators. This study addresses the problem of almost sure exponential synchronisation for networked harmonic oscillators over switching communication networks. The coupling protocol relies on only the sampled velocity data and is periodical intermittent interactions over networks described by directed graphs subject to Markovian jumping. Next, the leader–following coupling protocol is proposed in order to approach a desired synchronisation trajectory. By using the stability theory of stochastic differential equations, some sufficient conditions are established to guarantee synchronisation in the almost sure sense. The almost sure exponential synchronisation can be achieved even when the coupling network and strength are switched between enabling and disabling the system to achieve complete synchronisation. Some numerical simulations are presented to illustrate the effectiveness of the theoretical results.
Starting Page	1658
Ending Page	1664
Page Count	7
ISSN	17518644
Volume Number	12
e-ISSN	17518652
Issue Number	Issue 11, Jul (2018)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/12/11
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2017.0951
Journal	IET Control Theory & Applications
Publisher Date	2018-04-03
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Combinatorial Mathematics Communication Network Complete Synchronisation Complex Network Coupling Network Coupling Protocol Desired Synchronisation Trajectory Differential Equation (numerical Analysis) Directed Graph Exponential Synchronisation Function Theory And Analysis Intermittent Coupling Subject Lyapunov Method Markov Processes Markovian Jumping Networked Harmonic Oscillator Numerical Analysis Periodical Intermittent Interactions Probability Theory Sampled Velocity Data Stability in Control Theory Statistics Stochastic Linearised SCUC Strength Synchronisation
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications

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