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Boundary estimation and cascade control for a Lorenz‐like system.
- Source :
-
Mathematical Methods in the Applied Sciences . Mar2024, p1. 17p. 13 Illustrations. - Publication Year :
- 2024
-
Abstract
- In this paper, we devoted to investigate a hyperelliptic estimate of the ultimate bound and positively invariant set for the new system via the Lyapunov function method. Furthermore, we obtained the global exponential attractive set Cλ,k$$ {C}_{\lambda, k} $$, which is an exponential decay rate. The rate of the trajectories of the system going from the exterior to the interior of the set Cλ,k$$ {C}_{\lambda, k} $$. Numerical simulations are presented to show the effectiveness and the feasibility. The theoretical results obtained will find wide applications in cascade control and chaos synchronization. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01704214
- Database :
- Academic Search Index
- Journal :
- Mathematical Methods in the Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 175748562
- Full Text :
- https://doi.org/10.1002/mma.9990