Robust finite-time stability of fractional order linear time-varying impulsive systems

DOI10.1007/s00034-014-9899-xzbMath1341.93060OpenAlexW2170098766MaRDI QIDQ736817

Guopei Chen, Ying Yang

Publication date: 5 August 2016

Published in: Circuits, Systems, and Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00034-014-9899-x

zbMATH Keywords

generalized Gronwall inequalityaverage dwell timerobust finite-time stabilityfractional order linear time-varying impulsive systemsfractional order Lyapunov function

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Linear systems in control theory (93C05) Robust stability (93D09)

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Cites Work

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• On the concept and existence of solution for impulsive fractional differential equations
• Stability analysis of Caputo fractional-order nonlinear systems revisited
• Asymptotical stability of nonlinear fractional differential system with Caputo derivative
• A generalized Gronwall inequality and its application to a fractional differential equation
• Mittag-Leffler stability of fractional order nonlinear dynamic systems
• Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
• Finite time stability analysis of \(PD^\alpha\) fractional control of robotic time-delay systems
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Fractals and fractional calculus in continuum mechanics
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Switching in systems and control
• Switched and impulsive systems. Analysis, design and applications.
• Lyapunov stability solutions of fractional integrodifferential equations
• Existence and controllability of fractional-order impulsive stochastic system with infinite delay
• FRACTIONAL DERIVATIVE AS FRACTIONAL POWER OF DERIVATIVE
• Finite-time stability of linear time-varying singular systems with impulsive effects
• Exact Multi-soliton Solution for the (3+1)-D Jimbo-Miwa Equation
• Finite-Time Stabilization of Linear Time-Varying Continuous Systems
• Sufficient Conditions for Finite-Time Stability of Impulsive Dynamical Systems
• Sufficient Conditions for Finite-Time Stability and Stabilization of Nonlinear Quadratic Systems
• Finite-Time Stability of Linear Time-Varying Systems: Analysis and Controller Design
• Finite-time control of discrete-time linear systems
• Lipschitz stability criteria for functional differential systems of fractional order

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