Fixed-Time and Finite-Time Synchronization for a Class of Output-Coupling Complex Networks via Continuous Control

Li, Zhiwei

doi:10.4236/ijcns.2019.1210011

Cited by 4 publications

(1 citation statement)

References 29 publications

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“…It designed new controllers and adaptive laws and demonstrated that all the variables in the closed-loop system are constrained, and the tracking error converges to the origin. In that year, [23] introduced various approaches based on continuous strategies for solving the problem of finite time and fixed time synchronization of complicated networks. In 2020, for the first time, [24] presented a novel control approach to suppress the chaotic phenomenon in a PI control system.…”

Section: Introductionmentioning

confidence: 99%

Design of a Fixed-Time Stabilizer for Uncertain Chaotic Systems Subject to External Disturbances

et al. 2023

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This paper addresses the fixed-time stability problem of chaotic systems with internal uncertainties and external disturbances. To this end, new sliding-mode surfaces are introduced to design fixed-time controllers for the stabilization of perturbed chaotic systems. First, the required conditions for deriving fixed-time stability are determined. Then, using the obtained stability theorems and sliding mode techniques, the controllers are synthesized. The proposed controller enables the convergence of the trajectories of the chaotic system to the origin in finite time, independently of the initial conditions. The performance of the proposed approach is assessed using a simulation study of a PMSM system and the Matouk system. Among the advantages of the proposed controller are its robustness to external disturbances and the boundedness of the settling time to a constant value for any initial condition.

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Section: Introductionmentioning

confidence: 99%