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| Content Provider | IET Digital Library |
|---|---|
| Author | Cui, Wenxia Fang, Jian an Zhang, Wenbing Wang, Xin |
| Abstract | In this study, the authors study the finite-time cluster synchronisation problem for a class of Markovian switching complex networks with stochastic noise perturbations. By constructing the suitable stochastic Lyapunov–Krasovskii functional, using finite-time stability theorem, inequality techniques and the properties of Weiner process, sufficient conditions are obtained to ensure finite-time cluster synchronisation for the complex networks with or without time delays. The effects of control parameters on cluster synchronisation speed and time delays are also analysed. Since finite-time cluster synchronisation means the optimality in convergence time and has better robustness and disturbance rejection properties, this study has important theory significance and practical application value. Finally, numerical examples are examined to illustrate the effectiveness of the analytical results. |
| Starting Page | 30 |
| Ending Page | 41 |
| Page Count | 12 |
| ISSN | 17518644 |
| Volume Number | 8 |
| e-ISSN | 17518652 |
| Issue Number | Issue 1, Jan (2014) |
| Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/iet-cta/8/1 |
| Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2013.0370 |
| Journal | IET Control Theory & Applications |
| Access Restriction | Open |
| Rights Holder | © The Institution of Engineering and Technology |
| Subject Keyword | Cluster Synchronisation Speed Combinatorial Mathematics Complex Network Convergence Time Delay Distributed Parameter Control System Disturbance Rejection Property Finite-time Cluster Synchronisation Problem Finite-time Stability Theorem Inequality Technique Lyapunov Method Markov Processes Markovian Switching Complex Network Network Theory (Graph) Optimality Perturbation Technique Stability Stability in Control Theory Stochastic Lyapunov-Krasovskii Functional Stochastic Noise Perturbations Stochastic System Sufficient Condition Synchronisation Time Delay Time Varying Control System Weiner Process |
| 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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