Global exponential stability for coupled retarded systems on networks: A graph-theoretic approach |
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| Institution: | 1. School of Mathematical Science, Dalian University of Technology, Dalian, Liaoning 116024, PR China;2. School of Energy and Engineering, Dalian University of Technology, Dalian, Liaoning 116024, PR China;3. School of Environmental and Biological Science and Technology, Dalian University of Technology, Dalian, Liaoning 116012, PR China;1. University of Central Florida, Department of Mathematics, 4000 Central Florida Blvd., Orlando, USA;2. University of Palermo, Department of Mathematics and Computer Science, Via Archirafi 34, 90123 Palermo, Italy;1. Faculty of Applied Mathematics, AGH University of Science and Technology, Mickiewicz Avenue 30, 30059 Kraków, Poland;2. Mathematical Institute, Silesian University in Opava, Na Rybníčku 1, 74601 Opava, Czech Republic;3. Subbotin Institute for Geophysics of NAS of Ukraine, Palladin Avenue 32, 03142 Kyiv, Ukraine;1. Department of Electrical Engineering, Indian Institute of Technology, Kharagpur 721302, India;2. Advanced Technological Development Centre, Indian Institute of Technology, Kharagpur 721302, India |
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| Abstract: | In this paper, some coupled retarded systems on networks (CRSNs) are studied. Applying the idea of Razumikhin method and Mirchhoff’s matrix tree theorem, the sufficient conditions for global exponential stability of the CRSNs are obtained. Finally, an example of coupled retarded oscillator system on networks is given to illustrate the advantages of our results. |
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| Keywords: | Coupled retarded systems Networks Exponential stability Razumikhin method |
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