×

zbMATH — the first resource for mathematics

Finite-time synchronization and parameters identification of a uncertain critical chaotic system. (Chinese. English summary) Zbl 1438.93211
Summary: In this paper, the finite-time synchronization and parameters identification of a uncertain critical chaotic system is investigated. Based on finite-time Lyapunov stability theory and adaptive method, several steps setting up three controllers in turn are established to guarantee the finite-time asymptotical synchronization of the drive system and the response system with disturbance and unknown parameters separately. At the same time, the unknown parameters of the drive system are identified with the finite-time asymptotical synchronization. Finally, numerical simulations show the correctness and effectiveness of the theoretical results.
MSC:
93D40 Finite-time stability
93E10 Estimation and detection in stochastic control theory
93C41 Control/observation systems with incomplete information
93C40 Adaptive control/observation systems
PDF BibTeX XML Cite