Finite-time stability of a class of nonlinear fractional-order system with the discrete time delay

DOI10.1080/00207721.2016.1226985zbMath1362.93114OpenAlexW2566237063MaRDI QIDQ5347314

Feifei Wang, Di-yi Chen, Yong-Hong Wu, Xin Guang Zhang

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/10.1080/00207721.2016.1226985

zbMATH Keywords

nonlinear systemfinite-time stabilityfractional-orderdiscrete time delay

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Robust stability (93D09) Control/observation systems governed by ordinary differential equations (93C15) Fractional ordinary differential equations (34A08)

Related Items

Finite-time synchronisation of delayed fractional-order coupled neural networks, Finite-time event-triggered fault-tolerant control for a family of pure-feedback systems, Finite-time stability of linear stochastic fractional-order systems with time delay, Finite-time stability results for fractional damped dynamical systems with time delays, Some remarks on estimate of Mittag-Leffler function, New finite-time stability analysis of stochastic fractional-order time-delay systems, Unnamed Item, Robust finite-time guaranteed cost control for positive systems with multiple time delays, Modeling, discretization, and hyperchaos detection of conformable derivative approach to a financial system with market confidence and ethics risk, Finite-time control analysis of nonlinear fractional-order systems subject to disturbances, Finite-time stability of a class of nonlinear fractional delay difference systems, Finite-time stability analysis of a class of nonlinear time-varying systems: a numerical algorithm, Exponential stability of impulsive discrete-time systems with infinite delays, Input–output finite-time stability of discrete-time systems under finite-time boundedness, Observer-based finite-time control of linear fractional-order systems with interval time-varying delay

Cites Work

• Unnamed Item
• Unnamed Item
• Input-to-state stability and integral input-to-state stability for impulsive switched systems with time-delay under asynchronous switching
• Nonlinear dynamics of fractional order Duffing system
• About robust stability of Caputo linear fractional dynamic systems with time delays through fixed point theory
• Fractional Bloch equation with delay
• Recent history of fractional calculus
• Fractional ordered Liu system with time-delay
• A generalized Gronwall inequality and its application to a fractional differential equation
• Dynamics of a fractional derivative type of a viscoelastic rod with random excitation
• Complex step derivative approximation of consistent tangent operators for viscoelasticity based on fractional calculus
• Fractional order theory of thermoelasticity
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Time-delay systems: an overview of some recent advances and open problems.
• Finite-time synchronization of fractional-order memristor-based neural networks with time delays
• Anlogue realizations of fractional-order controllers.
• Global Mittag-Leffler stability and synchronization of impulsive fractional-order neural networks with time-varying delays
• Application of Takagi-sugeno fuzzy model to a class of chaotic synchronization and anti-synchronization
• Distributed formation control of fractional-order multi-agent systems with absolute damping and communication delay
• State feedback with fractional integral control design based on the Bode’s ideal transfer function
• Finite-time stability and stabilisation for a class of nonlinear systems with time-varying delay
• New stability conditions for nonlinear time varying delay systems
• Condition-based diagnosis of mechatronic systems using a fractional calculus approach
• Synchronization and anti-synchronization of fractional dynamical networks
• ANALYSIS OF FOUR-PARAMETER FRACTIONAL DERIVATIVE MODEL OF REAL SOLID MATERIALS
• Delay-dependent robust stabilisation of uncertain discrete-time switched systems with time-varying state delay
• Controllability ofh-difference linear control systems with two fractional orders