BIBO stability of fractional-order controlled nonlinear systems

DOI10.1080/00207721.2016.1269219zbMath1362.93131OpenAlexW2565184062MaRDI QIDQ5347369

Song Liang, Ran Chao Wu, Li-Ping Chen

Publication date: 23 May 2017

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207721.2016.1269219

zbMATH Keywords

BIBO stabilityinternal stabilityfractional-order systemfractional financial systemfractional atmospheric circulation system

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Application models in control theory (93C95) Input-output approaches in control theory (93D25) Control/observation systems governed by ordinary differential equations (93C15) Fractional ordinary differential equations (34A08)

Related Items (6)

Positivity and stability of standard and fractional descriptor continuous-time linear and nonlinear systems ⋮ Robust adaptive fault-tolerant consensus control for uncertain nonlinear fractional-order multi-agent systems with directed topologies ⋮ Uniform bounded input bounded output stability of fractional‐order delay nonlinear systems with input ⋮ Output feedback consensus control for fractional-order nonlinear multi-agent systems with directed topologies ⋮ Properties of the stability boundary in linear distributed-order systems ⋮ Fully distributed robust consensus control of multi-agent systems with heterogeneous unknown fractional-order dynamics

Cites Work

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• Mittag-Leffler stability of fractional order nonlinear dynamic systems
• Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
• BIBO stability of some classes of delay systems and fractional systems
• BIBO stabilization for system with multiple mixed delays and nonlinear perturbations
• Synchronisation of a fractional-order chaotic system using finite-time input-to-state stability

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