Abstract
This paper proposes a new input-to-state stable (ISS) synchronization scheme for two different chaotic systems with disturbance. Based on linear matrix inequality (LMI) formulation, the ISS synchronization controller is presented to not only guarantee the exponential synchronization between two different chaotic systems, but also achieve the bounded synchronization error for any bounded disturbance. The ISS synchronization controller can be obtained by solving LMI. The synchronization problem between Rossler system and Genesio-Tesi system is investigated via numerical simulation.
Original language | English |
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Pages (from-to) | 2487-2493 |
Number of pages | 7 |
Journal | Scientific Research and Essays |
Volume | 6 |
Issue number | 12 |
Publication status | Published - 2011 Jun 18 |
Externally published | Yes |
Keywords
- Input-to-state stable (ISS) synchronization
- Linear matrix inequality (LMI)
- Lyapunov theory
- Two different chaotic systems
ASJC Scopus subject areas
- Biochemistry, Genetics and Molecular Biology(all)
- Agricultural and Biological Sciences(all)
- Engineering(all)
- Physics and Astronomy(all)