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The application of feedback control method in chaotic Rössler model
- Source :
- International Journal of Dynamical Systems and Differential Equations. 7:185
- Publication Year :
- 2017
- Publisher :
- Inderscience Publishers, 2017.
-
Abstract
- This paper is devoted to investigate the problem of controlling chaos in a Rossler system. Feedback control method is applied to suppress chaos to unstable equilibrium or unstable periodic orbits. Routh-Hurwitz criteria are used to analyse the conditions of the asymptotic stability of the steady states of the controlled system. Some numerical simulations are provided to show these results. Finally, main conclusions are included.
- Subjects :
- Hopf bifurcation
Control and Optimization
Feedback control
General Engineering
Chaotic
Stability (probability)
Nonlinear Sciences::Chaotic Dynamics
CHAOS (operating system)
symbols.namesake
Unstable equilibrium
Exponential stability
Control theory
symbols
Discrete Mathematics and Combinatorics
Periodic orbits
Mathematics
Subjects
Details
- ISSN :
- 17523591 and 17523583
- Volume :
- 7
- Database :
- OpenAIRE
- Journal :
- International Journal of Dynamical Systems and Differential Equations
- Accession number :
- edsair.doi.dedup.....3f7739ef34064cc0224ece47909e05ba
- Full Text :
- https://doi.org/10.1504/ijdsde.2017.10007660