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Innovative and Relaxed Conditions to Global Stabilization of Cascade Nonlinear Systems in Backstepping Framework
Disclosure The authors have nothing to report. Conflicts of Interest The authors declare no conflicts of interest. Data Availability Statement This study did not involve the generation or analysis of datasets; therefore, data sharing is not applicable. References 1, , , , and , “Robust Formation Control of Robot Manipulators With Inter-Agent Constraints Over Undirected Signed Networks,” IEEE Transactions on Control of Network Systems 12, no. 1 (2024): 251–261.
Analysis and Backstepping Control of a Novel 4D Fractional Chaotic Oscillator
In this study, we introduce a new 4D fractional model to extract the chaotic attractors of a biological oscillator. The proposed description includes a recently developed -Caputo fractional derivative. To explore the model, we employ the time domain analysis and the phase plane method, both of which exhibit the chaotic attractors for some fractional orders. Furthermore, we implement a robust approximation scheme based on a sequential substitution rule and investigate its convergence.
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