Finite-time and fixed-time synchronization of discontinuous complex networks: a unified control framework design

DOI10.1016/j.jfranklin.2018.04.026zbMath1390.93105OpenAlexW2801528349WikidataQ129968834 ScholiaQ129968834MaRDI QIDQ1648066

Haijun Jiang, Juan Yu, Cheng Hu, Gaojian Ji

Publication date: 27 June 2018

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2018.04.026

zbMATH Keywords

Filippov solutioncomplex networksdiscontinuous nodes dynamicsfinite-time and fixed-time stabilityfinite-time and fixed-time synchronizationnonlinear systems with discontinuous right-hand sides

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Decentralized systems (93A14) Large-scale systems (93A15) Stability of control systems (93D99)

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Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fixed-time coordinated tracking for second-order multi-agent systems with bounded input uncertainties
• Finite-time stochastic synchronization of complex networks
• Pinning synchronization for directed networks with node balance via adaptive intermittent control
• On pinning synchronization of complex dynamical networks
• Finite-time synchronization of delayed dynamical networks via aperiodically intermittent control
• Robust fixed-time synchronization of delayed Cohen-Grossberg neural networks
• Controlling chaos in discontinuous dynamical systems
• Fixed-time sliding mode controller design for synchronization of complex dynamical networks
• Fixed-time stability of dynamical systems and fixed-time synchronization of coupled discontinuous neural networks
• Robust fixed-time synchronization for uncertain complex-valued neural networks with discontinuous activation functions
• Controller design for global fixed-time synchronization of delayed neural networks with discontinuous activations
• Complex networks: structure and dynamics
• Sliding mode control for semi-Markovian jump systems via output feedback
• Finite-time synchronization of Markovian jump complex networks with partially unknown transition rates
• A note on finite-time and fixed-time stability
• Finite-time synchronization of complex networks with nonidentical discontinuous nodes
• Generalized Lyapunov approach for convergence of neural networks with discontinuous or non-Lipschitz activations
• Finite-time synchronization control of complex dynamical networks with time delay
• Finite-Time Synchronization of Coupled Networks With Markovian Topology and Impulsive Effects
• On Finite-Time Stability of Cyclic Switched Nonlinear Systems
• Global Finite-Time Stability Characterized Through a Local Notion of Homogeneity
• Statistical mechanics of complex networks
• Finite time stability conditions for non-autonomous continuous systems
• Pinning Complex Networks by a Single Controller
• Finite-Time Stability of Continuous Autonomous Systems
• Synchronization of complex networks through local adaptive coupling
• A time-varying complex dynamical network model and its controlled synchronization criteria
• Nonlinear Feedback Design for Fixed-Time Stabilization of Linear Control Systems
• Exploring complex networks