Synchronization of nonlinear fractional order systems by means of \(\mathrm{PI}^{r \alpha}\) reduced order observer

DOI10.1016/j.amc.2015.03.120zbMath1410.34146OpenAlexW330683195MaRDI QIDQ1663409

Rafael Martínez-Guerra, Gian Carlo Gómez-Cortés, Juan C. Cruz-Victoria, Claudia A. Pérez-Pinacho

Publication date: 21 August 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.03.120

zbMATH Keywords

synchronizationfractional systemsfractional algebraic observability\(\mathrm{PI}^{r \alpha}\) reduced order observers

Mathematics Subject Classification ID

Observability (93B07) Fractional ordinary differential equations (34A08) Synchronization of solutions to ordinary differential equations (34D06)

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Terminal observer and disturbance observer for the class of fractional-order chaotic systems ⋮ Chaos in a low dimensional fractional order nonautonomous nonlinear oscillator ⋮ Fractional-order State Observers for Integer-Order Linear Systems ⋮ Fractional fault-tolerant dynamical controller for a class of commensurate-order fractional systems ⋮ A novel general stability criterion of time-delay fractional-order nonlinear systems based on will deduction method ⋮ A novel Mittag-Leffler stable estimator for nonlinear fractional-order systems: a linear quadratic regulator approach ⋮ Regional observability for Hadamard-Caputo time fractional distributed parameter systems ⋮ Synchronization and FPGA realization of complex networks with fractional-order Liu chaotic oscillators ⋮ A Brief Overview on Fractional Order Systems in Control Theory

Cites Work

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• A generalised fractional derivative approach to viscoelastic material properties measurement
• Synchronization in reduced-order of chaotic systems via control approaches based on high-order sliding-mode observer
• An exponential polynomial observer for synchronization of chaotic systems
• Stabilization using fractional-order PI and PID controllers
• Cybernetical physics. From control of chaos to quantum control.
• Observer-based exact synchronization of ideal and mismatched chaotic systems
• Synchronization of two different non-autonomous chaotic systems using fuzzy disturbance observer
• Synchronization in chaotic systems

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