A note on stability of sliding mode dynamics in suppression of fractional-order chaotic systems

DOI10.1016/J.CAMWA.2012.11.015zbMath1345.34005OpenAlexW1965562841MaRDI QIDQ316124

Mohammad Reza Faieghi, Dumitru Baleanu, Hadi Delavari

Publication date: 26 September 2016

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2012.11.015

zbMATH Keywords

sliding mode controlchaos controlLyapunov stability theoremadaptive lawfractional-order systems

Mathematics Subject Classification ID

Adaptive or robust stabilization (93D21) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25) Fractional ordinary differential equations (34A08)

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Sliding mode control and modified generalized projective synchronization of a new fractional-order chaotic system ⋮ Adaptive sliding control for a class of fractional commensurate order chaotic systems ⋮ Sliding mode control for a class of variable-order fractional chaotic systems ⋮ Stabilization of a class of fractional-order chaotic systems using a non-smooth control methodology ⋮ Predictive control of fractional-order chaotic systems ⋮ Adaptive sliding mode control of a novel class of fractional chaotic systems ⋮ Pseudo-state sliding mode control of fractional SISO nonlinear systems ⋮ Sliding mode control of the fractional-order unified chaotic system ⋮ An SOC estimation approach based on adaptive sliding mode observer and fractional order equivalent circuit model for lithium-ion batteries ⋮ Adaptive Fractional Order Sliding Mode Controller Design for Blood Glucose Regulation-4-3

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