Finite energy Lyapunov function candidate for fractional order general nonlinear systems
From MaRDI portal
Publication:2206620
DOI10.1016/j.cnsns.2019.104886zbMath1479.34121OpenAlexW2949260457WikidataQ127656889 ScholiaQ127656889MaRDI QIDQ2206620
Yan Li, Chenghui Zhang, Daduan Zhao, Yang Quan Chen, Igor Podlubny
Publication date: 22 October 2020
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2019.104886
Lyapunov and storage functions (93D30) Stability theory of functional-differential equations (34K20) Stochastic functional-differential equations (34K50) Functional-differential equations with fractional derivatives (34K37) Stationary solutions of functional-differential equations (34K21)
Related Items (11)
A modified Mikhailov stability criterion for a class of discrete-time noncommensurate fractional-order systems ⋮ Bifurcation from an Epidemic Model in the Presence of Memory Effects ⋮ Modified Mikhailov stability criterion for continuous-time noncommensurate fractional-order systems ⋮ Saturated delayed impulsive effects for fractional order nonlinear system with piecewise Caputo derivative and its application ⋮ Adaptive control for discontinuous variable-order fractional systems with disturbances ⋮ Well-posedness of fractional Moreau's sweeping processes of Caputo type ⋮ Fixed-time terminal synergetic observer for synchronization of fractional-order chaotic systems ⋮ New fractional-order integral inequalities: application to fractional-order systems with time-varying delay ⋮ Conditions and a computation method of the constrained regulation problem for a class of fractional-order nonlinear continuous-time systems ⋮ Dynamic analysis of a fractional-order model for hepatitis B virus with Holling II functional response ⋮ Global stabilization of uncertain nonlinear systems via fractional-order PID
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Variational Lyapunov method for fractional differential equations
- Non-existence of periodic solutions in fractional-order dynamical systems and a remarkable difference between integer and fractional-order derivatives of periodic functions
- Generalized Mittag-Leffler stability of multi-variables fractional order nonlinear systems
- Fractional differential equations and Lyapunov functionals
- Pseudo-state feedback stabilization of commensurate fractional order systems
- A Lyapunov approach to the stability of fractional differential equations
- Fractional-order nonlinear systems. Modeling, analysis and simulation
- A generalized Gronwall inequality and its application to a fractional differential equation
- Using general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional order systems
- Mittag-Leffler stability of fractional order nonlinear dynamic systems
- Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
- Fractional-order systems and controls. Fundamentals and applications
- Chaos in fractional-order autonomous nonlinear systems.
- Safety verification for distributed parameter systems using barrier functionals
- Stability for nonlinear fractional order systems: an indirect approach
- Numerical solutions for systems of fractional differential equations by the decomposition method
- Dynamics and control of initialized fractional-order systems
- Disturbance and uncertainty rejection performance for fractional-order complex dynamical networks
- A novel stability criterion of the time-lag fractional-order gene regulatory network system for stability analysis
- Analysis and description of the infinite-dimensional nature for nabla discrete fractional order systems
- Lyapunov functions for fractional order systems
- Stability analysis for nonlinear fractional-order systems based on comparison principle
- Lyapunov functions and convergence to steady state for differential equations of fractional order
- Intermediate processes and critical phenomena: theory, method and progress of fractional operators and their applications to modern mechanics
- Non-existence of finite-time stable equilibria in fractional-order nonlinear systems
- A note on \(\mathcal{L}_p\)-norms of fractional systems
- Smoothness and stability of the solutions for nonlinear fractional differential equations
- Fractional Differentiation Inequalities
- Stability of Fractional-Order Systems with Rational Orders
- Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers
- Finite-time stability analysis of fractional differential systems with variable coefficients
- Robust Stability and Stabilization of Fractional-Order Interval Systems: An LMI Approach
This page was built for publication: Finite energy Lyapunov function candidate for fractional order general nonlinear systems
