Multi-scroll Systems Synchronization on Strongly Connected Digraphs
| Autor: | Eber J. ÁVİLA MARTÍNEZ, J. L. ECHENAUSÍA-MONROY, Adriana RUİZ-SİLVA |
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| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: |
Mathematics
Interdisciplinary Applications Otomasyon ve Kontrol Sistemleri Mechanical Engineering Biomedical Engineering Matematik Disiplinler Arası Uygulamalar Synchronization Complex Networks Digraphs Multi-Scroll Attractors Unstable Dissipative Systems Electrical and Electronic Engineering Automation and Control Systems Engineering (miscellaneous) |
| Zdroj: | Volume: 4, Issue: 4 205-211 Chaos Theory and Applications |
| ISSN: | 2687-4539 |
| Popis: | In this paper, we study the synchronization problem in complex dynamic networks of Piece Wise Linear (PWL) systems. PWL systems exhibit multi-scrolls and belong to a special class of Unstable Dissipative Systems (UDS). We consider strongly connected digraphs and linear diffusive couplings. The synchronization regions are computed using the concept of disagreement vectors, generalized algebraic connectivity of the network topology, and Lyapunov functions, which provide lower bounds on the coupling gain of the network. Then, different combinations of linear diffusive coupling are explored by changing the observed and measured variables to illustrate the contribution of our results. The theoretical results are validated by numerical simulations. |
| Databáze: | OpenAIRE |
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